{"id":1355,"date":"2022-04-18T13:47:26","date_gmt":"2022-04-18T13:47:26","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1355"},"modified":"2023-02-14T16:08:16","modified_gmt":"2023-02-14T16:08:16","slug":"fraction-less-than-one-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one","title":{"rendered":"Fraction Less Than One &#8211; Definition With Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-166ef993-61b0-451e-a4d8-51ad13ef5738\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one#0-what-are-fractions>What Are Fractions?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one#1-what-are-fractions-less-than-one>What Are Fractions Less than One?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one#2-proper-fractions-on-a-number-line>Proper Fractions on a Number Line<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one#4-solved-examples->Solved Examples&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one#5-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one#6-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-are-fractions\">What Are Fractions?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Fractions represent the parts of a whole or collection of objects. When the whole or collection is divided into equal parts, each part makes up a fraction. For example, if a pizza is divided into eight equal slices, each slice is said to be $\\frac{1}{8}$ of the pizza. It means one in eight equal parts. It can also be read as \u2018one-eighth\u2019, or \u20181 by 8\u2019.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-1.png\" alt=\"one-eighth of the pizza\" class=\"wp-image-8586\" title=\"one-eighth of the pizza\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-1-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">If we select two slices of the pizza, it will be $\\frac{2}{8}$ of the pizza. Similarly, if we take six slices of this pizza, it would be $\\frac{6}{8}$ of the pizza.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The number on the top of the line is called the <strong>numerator<\/strong>. It tells us how many equal parts of the whole are taken. The number below the line is called the <strong>denominator<\/strong>.&nbsp; It shows the total number of equal parts the whole is divided into.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Majorly, there are three types of fractions.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Proper fractions: <\/strong>When the numerator of a fraction is less than its denominator, it is a proper fraction. This can also be described as a fraction less than 1 whole. For example, \u2159, \u215c, \u2158 are proper fractions.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Improper fractions: <\/strong>When the numerator of a fraction is more than or equal to its denominator, it is called an improper fraction. For example, 4\/3, 8\/5, 6\/4 are improper fractions.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Mixed fractions<\/strong>: Mixed fractions consist of a whole number along with a proper fraction. For example, $3\\frac{4}{7}$, $4\\frac{2}{5}$&nbsp; are mixed fractions.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">10 and 100 More than the Same Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-and-find-the-amount-of-money-in-given-word-problems\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/measurement_add_word_prob_2_pt.png\" alt=\"Add and Find the Amount of Money in Given Word Problems Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add and Find the Amount of Money in Given Word Problems Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-by-regrouping-ones-and-tens\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_ones_tens_vertical_pt.png\" alt=\"Add by Regrouping Ones and Tens Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add by Regrouping Ones and Tens Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-by-regrouping-ones\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_ones_vertical_pt.png\" alt=\"Add by Regrouping Ones Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add by Regrouping Ones Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-by-regrouping-the-ones\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_ones_horizontal_pt.png\" alt=\"Add by Regrouping the Ones Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add by Regrouping the Ones Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimal-fractions-using-equivalence\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/decimals_convert_to_equi_frac_to_add_pt.png\" alt=\"Add Decimal Fractions Using Equivalence Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimal Fractions Using Equivalence Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-greater-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_greater_than_1_models_pt.png\" alt=\"Add Decimals (Greater than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Greater than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-decimals-less-than-1-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_add_dec_less_than_1_models_pt.png\" alt=\"Add Decimals (Less than 1) Using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Decimals (Less than 1) Using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-using-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_unlike_models_pt.png\" alt=\"Add Fractions using Models Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Fractions using Models Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-fractions-with-the-aid-of-a-number-line\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_add_like_frac_sum_greater_than_1_nl_pt.png\" alt=\"Add Fractions WIth the Aid of a Number LIne Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Fractions WIth the Aid of a Number LIne Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-what-are-fractions-less-than-one\">What Are Fractions Less than One?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In a fraction, the denominator represents the total number of equal parts the whole is divided into and the numerator is the equal part of the whole selected. In other words, the denominator represents the whole and the numerator represents the selected part of the whole. If the numerator of the fraction is less than the denominator, then it is a fraction less than one whole. For example, if a pizza is equally divided into 6 slices, then one slice is less than the whole pizza (or 6 slices). Since one slice is \u2159 of the pizza, then \u2159 is a fraction less than 1.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">When the numerator of a fraction is less than its denominator, then it is fraction less than 1 whole. It is called a proper fraction. The value of a proper fraction is always less than 1. Examples of fraction less than 1 are&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/1-less-more-10-less-more-100-less-more\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/1-less-more-10-less-more-100-less-more.jpeg\" alt=\"1 Less\/More, 10 Less\/More & 100 Less\/More Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-3-digit-and-1-digit-numbers-with-regrouping-ones-and-tens-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-3-digit-and-1-digit-numbers-with-regrouping-ones-and-tens-horizontal-addition.jpeg\" alt=\"Add 3 Digit and 1 Digit Numbers with Regrouping Ones and Tens: Horizontal Addition\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-3-digit-and-1-digit-numbers-with-regrouping-ones-and-tens-missing-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-3-digit-and-1-digit-numbers-with-regrouping-ones-and-tens-missing-number.jpeg\" alt=\"Add 3 Digit and 1 Digit Numbers with Regrouping Ones and Tens: Missing Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-3-digit-and-2-digit-numbers-with-regrouping-ones-and-tens-horizontal-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" 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Numbers with Regrouping Ones and Tens: Missing Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-3-digit-and-2-digit-numbers-with-regrouping-ones-and-tens-vertical-addition\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-3-digit-and-2-digit-numbers-with-regrouping-ones-and-tens-vertical-addition.jpeg\" alt=\"Add 3 Digit and 2 Digit Numbers with Regrouping Ones and Tens: Vertical Addition\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-proper-fractions-on-a-number-line\">Proper Fractions on a Number Line<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">A <strong>proper fraction<\/strong> or a fraction less than 1 has a value between 0 and 1. So, what is fraction less than one on a number line? It is a fraction that lies between 0 and 1 on a number line. When marking any fraction on the number line, we first look at the denominator. This tells us how many parts we need to divide each number interval.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Suppose we wanted to place \u215d on the number line. We divide the interval between 0 and 1 into 8 equal parts.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The numerator tells us where we place our dot. The following figure shows the fraction \u215d on a number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-2.png\" alt=\"Plotting Fractions on Number Line\" class=\"wp-image-8588\" title=\"Plotting Fractions on Number Line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-2-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-how-do-you-convert-proper-fractions-to-decimals\">How Do You Convert Proper Fractions to Decimals?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The value of a proper fraction is always between 0 and 1. To convert fraction less than 1 into decimals, we divide the numerator by the denominator using long division method. As the numerator is smaller than the denominator, first add \u20180\u2019 in the quotient. Place the decimal point after the dividend and after zero in the quotient. Then divide the number with the denominator and get the required answer in decimal.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For instance, let\u2019s convert&nbsp; $\\frac{2}{5}$&nbsp; into decimal form.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"163\" height=\"193\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Fraction-less-than-one-3.png\" alt=\"Divide 2 by 5 Using Long Division Method\" class=\"wp-image-8589\" title=\"Divide 2 by 5 Using Long Division Method\"\/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Thus, the fraction $\\frac{2}{5}$ is equal to decimal 0.4.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">To find the decimal form of a fraction, we can find the fraction into an equivalent fraction with denominator 10, 100 or 1000.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, $\\frac{2}{5}$ = $\\frac{2 \u2715 2}{5 \u2715 2}$ = $\\frac{4}{10}$ = 0.4<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Note that this method is suitable only for the fractions whose denominator can be converted to a power of 10. For denominators that cannot be written as a power of 10\u2014for example, $\\frac{4}{7}$\u2014we can use the long division method.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-solved-examples-\">Solved Examples&nbsp;<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: Identify the fraction less than 1 whole from the following.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\\frac{4}{5}$<strong>, <\/strong>$\\frac{7}{4}$<strong>, <\/strong>$\\frac{3}{7}$<strong>, <\/strong>$\\frac{5}{7}$<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>If the numerator of the fraction is less than the denominator, then it is a fraction less than 1. These fractions are also called <strong>proper fractions.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">In the given fractions, $\\frac{4}{5}$<strong>, <\/strong>$\\frac{3}{7}$<strong>, <\/strong>and<strong> <\/strong>$\\frac{5}{7}$ has a numerator smaller than the denominator. So, these fractions are proper fractions, which have values less than 1.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: Convert <\/strong><strong>1<\/strong><strong>4<\/strong><strong> into decimal form.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Method 1:<\/strong> To convert the fraction into a decimal, we can divide the numerator by the denominator&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"180\" height=\"418\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-2-9.png\" alt=\"Divide 1 by 4 Using Long Division Method\" class=\"wp-image-8590\" title=\"Divide 1 by 4 Using Long Division Method\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-2-9.png 180w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-2-9-129x300.png 129w\" sizes=\"auto, (max-width: 180px) 100vw, 180px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Method 2: <\/strong>Convert the fraction into an equivalent fraction with denominator power of 10, ie. 10, 100 or 1000.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here $\\frac{1}{4}$ = $\\frac{25}{100}$ = 0.25<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, the fraction 1\/4 is equal to decimal 0.25.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3: Is the sum of the fractions <\/strong>$\\frac{1}{7}$<strong> and <\/strong>$\\frac{5}{7}$<strong> less than 1?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>The sum of the fractions $\\frac{1}{7}$ and $\\frac{5}{7}$ = $\\frac{1}{7}$ + $\\frac{5}{7}$ = $\\frac{6}{6}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Since the numerator of the sum is less than the denominator, the sum is less than 1.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Fraction Less Than One - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowleddge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Determine which of the following is correct regarding fractions less than one?<br>1. Fractions less than one are called improper fractions. <br>2. In a number line, proper fractions lie between 0 to 1.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Only statement 1 is true.<\/div><div class=\"spq_answer_block\" data-value=\"1\">Only statement 2 is true.<\/div><div class=\"spq_answer_block\" data-value=\"2\">None of the statements are true.<\/div><div class=\"spq_answer_block\" data-value=\"3\">Both the statements are true.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Only statement 2 is true.<br\/>Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is correct?<br>1. The decimal form of $\\frac{6}{9}$ is 0.66<br>2. The decimal form of $\\frac{3}{4}$ is 0.7<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Only statement 1 is true.<\/div><div class=\"spq_answer_block\" data-value=\"1\">Only statement 2 is true.<\/div><div class=\"spq_answer_block\" data-value=\"2\">None of the statements are true.<\/div><div class=\"spq_answer_block\" data-value=\"3\">Both the statements are true.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Only statement 1 is true.<br\/>If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The fraction $\\frac{4}{9}$ on a number line will be in between which two numbers?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0 and 2<\/div><div class=\"spq_answer_block\" data-value=\"1\">3 and 4<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 and 9<\/div><div class=\"spq_answer_block\" data-value=\"3\">9 and 13<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 0 and 2<br\/>The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowleddge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Fraction Less Than One - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Fraction Less Than One\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Determine which of the following is correct regarding fractions less than one?<br>1. Fractions less than one are called improper fractions. <br>2. In a number line, proper fractions lie between 0 to 1.\",\n                    \"text\": \"Determine which of the following is correct regarding fractions less than one?<br>1. Fractions less than one are called improper fractions. <br>2. In a number line, proper fractions lie between 0 to 1.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Only statement 1 is true.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the statements are true.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Both the statements are true.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Only statement 2 is true.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Fractions less than one are called proper fractions.<br>\r\nThe value of a proper fraction is always less than 1. On a number line, they lie between 0 to 1.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is correct?<br>1. The decimal form of $$\\\\frac{6}{9}$$ is 0.66<br>2. The decimal form of $$\\\\frac{3}{4}$$ is 0.7\",\n                    \"text\": \"Which of the following is correct?<br>1. The decimal form of $$\\\\frac{6}{9}$$ is 0.66<br>2. The decimal form of $$\\\\frac{3}{4}$$ is 0.7\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Only statement 2 is true.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the statements are true.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Both the statements are true.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Only statement 1 is true.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If we divide 6 by 9, then the answer will be 0.66.<br>\r\nIf we divide 3 by 4, then the answer will be 0.75.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The fraction $$\\\\frac{4}{9}$$ on a number line will be in between which two numbers?\",\n                    \"text\": \"The fraction $$\\\\frac{4}{9}$$ on a number line will be in between which two numbers?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 and 4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 and 9\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 and 13\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"0 and 2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The fraction is a proper fraction. The value of a proper fraction is always between 0 and 1, which is also between 0 and 2.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\"><strong>What is the difference between fractions greater than one and fractions less than one?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\">\n\n<p>When a fraction\u2019s numerator is greater than its denominator, the fraction is greater than one. These are also called improper fractions. These fractions lie on the right side of 1 on the number line.<\/p>\n\n\n\n<p>When the numerator of the fraction is less than its denominator, the fraction is less than one. These are also called proper fractions. These fractions lie between 0 and 1 on the number line.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\"><strong>Can 0 be the denominator of fractions less than 1?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\">\n\n<p>No, we cannot have 0 in the denominator of fraction. If we ever have 0 in the denominator, we can say that the fraction is \u201cundefined\u201d.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\"><strong>Is the sum of two proper fractions always a fraction less than one?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-787f0094-1d1b-4c6e-b77c-b243f2ae6b0a\">\n\n<p>Sometimes but not always. For example, $\\frac{3}{8}$ + $\\frac{2}{8}$ = $\\frac{5}{8}$, which is a proper fraction or fraction less than 1. But $\\frac{3}{8}$ + $\\frac{7}{8}$ = $\\frac{10}{8}$, which is not a proper fraction or fraction less than 1.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Are Fractions? Fractions represent the parts of a whole or collection of objects. When the whole or collection is divided into equal parts, each part makes up a fraction. For example, if a pizza is divided into eight equal slices, each slice is said to be $\\frac{1}{8}$ of the pizza. It means one in &#8230; <a title=\"Fraction Less Than One &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-less-than-one\" aria-label=\"More on Fraction Less Than One &#8211; Definition With Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1355","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1355","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1355"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1355\/revisions"}],"predecessor-version":[{"id":24516,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1355\/revisions\/24516"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1355"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1355"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1355"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}