{"id":1315,"date":"2022-04-18T11:23:08","date_gmt":"2022-04-18T11:23:08","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1315"},"modified":"2024-04-02T09:07:15","modified_gmt":"2024-04-02T09:07:15","slug":"adding-mixed-numbers-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers","title":{"rendered":"Adding Mixed Numbers"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-1de7b836-8b75-4685-b027-9f9f5905ed26\" 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\/adding-mixed-numbers#0-adding-mixed-numbers>Adding Mixed Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers#1-how-to-add-mixed-numbers>How to Add Mixed Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers#2-adding-mixed-numbers-with-unlike-denominators>Adding Mixed Numbers with Unlike Denominators<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers#3-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers#5-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-adding-mixed-numbers\">Adding Mixed Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A mixed number is a type of fraction that has two parts: a whole number and a proper fraction. It is also known as a mixed fraction.<s>&nbsp;&nbsp;<\/s><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Normally, a mixed number represents a number between any two whole numbers. We often come across examples of mixed numbers in our daily life.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"881\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/real-life-examples-of-mixed-numbers.png\" alt=\"Real life examples of mixed numbers \" class=\"wp-image-41571\" title=\"Real life examples of mixed numbers \" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/real-life-examples-of-mixed-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/real-life-examples-of-mixed-numbers-211x300.png 211w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let us consider the fraction $3\\frac{5}{8}$. It consists of a whole number 3 and a fractional part $\\frac{5}{8}$. Since the fractional part $\\frac{5}{8}$ has the numerator 5, which is less than the denominator 8, it represents a proper fraction.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the fraction $3\\frac{5}{8}$ represents a mixed number.&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction.png\" alt=\"Visual representation of a mixed fraction\" class=\"wp-image-41572\" title=\"Visual representation of a mixed fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction-300x248.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/add-1-digit-numbers\" 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_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers 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 1-Digit Numbers 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-2-digit-and-1-digit-numbers\" 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_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers 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 2-Digit and 1-Digit Numbers 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-2-digit-numbers-by-regrouping\" 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_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping 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 2-Digit Numbers By Regrouping 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-3-numbers\" 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_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers 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 3 Numbers 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-3-numbers-in-any-order\" 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_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order 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 3 Numbers in Any Order 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-3-numbers-using-groups-of-objects\" 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_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects 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 3 Numbers Using Groups of Objects 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-3-numbers-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\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers 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 3 Numbers 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-3-digit-and-1-digit-numbers-and-match\" 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_3d_1d_match_g3_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers and Match 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 3-Digit and 1-Digit Numbers and Match 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-3-digit-and-1-digit-numbers\" 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_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers 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 3-Digit and 1-Digit Numbers 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-3-digit-and-1-digit-numbers-with-regrouping\" 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_3d_1d_vertical_pt.png\" alt=\"Add 3-Digit and 1-Digit Numbers with Regrouping 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 3-Digit and 1-Digit Numbers with Regrouping 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\", 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{\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=\"wp-block-heading eplus-wrapper\" id=\"1-how-to-add-mixed-numbers\">How to Add Mixed Numbers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">For adding mixed numbers (or adding mixed fractions), we take the whole numbers and fractions and add them separately. We then put them together.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let us understand this with the help of an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example: Find the sum of&nbsp; $2\\frac{1}{8}$ and&nbsp;$3\\frac{3}{8}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, we have to add two mixed numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The first number is $2\\frac{1}{8}$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"536\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction-.png\" alt=\"Visual representation of a mixed fraction\" class=\"wp-image-41573\" title=\"Visual representation of a mixed fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction--300x259.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The second number is $3\\frac{3}{8}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"468\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction-1-1.png\" alt=\"Visual representation of a mixed fraction\" class=\"wp-image-41574\" title=\"Visual representation of a mixed fraction\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction-1-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-a-mixed-fraction-1-1-300x226.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Visually, the two fractions, when added, would look like this:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"468\" height=\"1024\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-adding-mixed-numbers-.png\" alt=\"Visual representation of adding mixed numbers\" class=\"wp-image-41575\" title=\"Visual representation of adding mixed numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-adding-mixed-numbers-.png 468w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-adding-mixed-numbers--137x300.png 137w\" sizes=\"auto, (max-width: 468px) 100vw, 468px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Now, let\u2019s see how we can add the numbers&nbsp; $2\\frac{1}{8}$ and&nbsp;$3\\frac{3}{8}$ without the help of models.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We first add the whole parts of both the mixed numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the wholes are 2 and 3. Let\u2019s add them first.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2 + 3 = 5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">And now we will add the fractional parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The fraction parts are $\\frac{1}{8}$ and $\\frac{3}{8}$. Let\u2019s add them the way we would add two like fractions, add numerator to numerator and denominator to denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{8} + {3}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{1 + 3}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= \\frac{4}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now that we have the separate sums of the wholes and the fractions, we will put them together.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, we get $2\\frac{1}{8} +3\\frac{3}{8} =5\\frac{4}{8}$ &nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, let us see an example of adding two mixed numbers where our resultant fraction is not a proper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For instance, let\u2019s say there are $2\\frac{4}{5}$ lb of apples in one basket and $3\\frac{3}{5}$ lb in another basket. How many apples are there altogether in both the baskets?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, to find the number of apples in both the baskets, we add the mixed numbers $2\\frac{4}{5}$ and&nbsp; $3\\frac{3}{5}$. The denominators of both the fractional parts are the same. So, to add mixed numbers with like denominators, we add the whole parts together and the fractional parts together and then combine the sum of the two as shown below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-adding-mixed-numbers.png\" alt=\"Visual model of adding mixed numbers\" class=\"wp-image-41579\" title=\"Visual model of adding mixed numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-adding-mixed-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-representation-of-adding-mixed-numbers-300x156.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Add the whole part with the whole part and the fractional part with the fractional part.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"271\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers.png\" alt=\"Visual model of adding mixed numbers\" class=\"wp-image-41578\" title=\"Visual model of adding mixed numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers-300x131.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">If the sum of the fractional parts is an improper number, convert it to another mixed number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers_.png\" alt=\"Visual model of adding mixed numbers\" class=\"wp-image-41580\" title=\"Visual model of adding mixed numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers_.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers_-300x156.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Combine the sum of the wholes and fractions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\" id=\"Visual-model-of-adding-mixed-numbers\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"268\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers__.png\" alt=\"Visual model of adding mixed numbers\" class=\"wp-image-41576\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers__.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/visual-model-of-adding-mixed-numbers__-300x130.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, there is $6\\frac{2}{5}$ lb of apples.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Mathematically, this addition would look like this:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2\\frac{4}{5} +3\\frac{3}{5} = 2 + 3 + \\frac{4}{5} + \\frac{3}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 5 + \\frac{7}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 5 + 1\\frac{2}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 6\\frac{2}{5}$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 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  });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-adding-mixed-numbers-with-unlike-denominators\">Adding Mixed Numbers with Unlike Denominators<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Now, let us look at an example to understand the addition of mixed numbers with unlike denominators.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s say Susan has $1\\frac{4}{7}$ ounces of orange juice, and Keith has&nbsp; $2\\frac{2}{5}$ ounces of orange juice. How much orange juice do they have altogether?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, we will find the answer by adding mixed numbers $1\\frac{4}{7}$ and&nbsp; $\\frac2{2}{5}$. Here, the denominators of both the fractional parts are different.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To add mixed numbers with unlike denominators, the best way is to convert both the mixed numbers into improper fractions and then add them just the way we would add two unlike fractions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1: Convert the mixed numbers into improper fractions.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"246\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/converting-mixed-numbers-into-improper-fractions.png\" alt=\"Converting mixed numbers into improper fractions\" class=\"wp-image-41581\" style=\"width:786px;height:312px\" title=\"Converting mixed numbers into improper fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/converting-mixed-numbers-into-improper-fractions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/converting-mixed-numbers-into-improper-fractions-300x119.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">and&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"247\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/converting-mixed-numbers-into-improper-fractions_.png\" alt=\"Converting mixed numbers into improper fractions\" class=\"wp-image-41582\" style=\"width:780px;height:311px\" title=\"Converting mixed numbers into improper fractions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/converting-mixed-numbers-into-improper-fractions_.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/converting-mixed-numbers-into-improper-fractions_-300x120.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2: Add the unlike improper fractions.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, we need to add the unlike fractions $\\frac{11}{7}$ and $\\frac{12}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiples of 7: 14, 21, 28, <strong>35<\/strong>, 42<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Multiples of 5: 5, 10, 15, 20, 25, 20, <strong>35<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the LCM is 35.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we convert the fractions into equivalent fractions with denominator as the LCM.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{11}{7} = \\frac{11}{7}&nbsp; \u00d7 \\frac{5}{5} = \\frac{55}{35}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{12}{5} = \\frac{12}{5}&nbsp; \u00d7 \\frac{7}{7} = \\frac{84}{35}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{11}{7} + {12}{5} = \\frac{55}{35} + 8435 = 55 + 8435 = 13935<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3: Convert the final result into an improper fraction.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{139}{35}=3\\frac{34}{35}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: David ate 3 \u00bd pizza slices while Jai ate 5 \u2154 pizza slices. How many pizza slices did they eat in total?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"553\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/pizza-slices.png\" alt=\"Pizza slices\" class=\"wp-image-41583\" title=\"Pizza slices\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/pizza-slices.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/pizza-slices-300x268.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The problem comes down to adding mixed numbers. We will add 3 \u00bd + 5 \u2154.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"864\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/adding-mixed-numbers.png\" alt=\"Adding mixed numbers\" class=\"wp-image-41584\" title=\"Adding mixed numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/adding-mixed-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/adding-mixed-numbers-215x300.png 215w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: Ron walked <\/strong>$3\\frac{2}{7}$<strong> miles during a forest trip while his friend walked for <\/strong>$2\\frac{4}{7}$<strong> miles. How much distance did they both cover during the trip?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"451\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/two-friends-on-a-forest-trip.png\" alt=\"\" class=\"wp-image-41585\" title=\"Two friends on a forest trip\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/two-friends-on-a-forest-trip.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/two-friends-on-a-forest-trip-300x218.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: We will find the answer by adding mixed numbers, $3\\frac{2}{7}$ and <strong>&nbsp;<\/strong>$2\\frac{4}{7}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the wholes are 2 and 3. Let\u2019s add them first.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$2 + 3 = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">And now we will add the fractional parts.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The fraction parts are $\\frac{2}{7}$ and $\\frac{4}{7}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{2}{7} + \\frac{4}{7} = \\frac{2 + 4}{7} = \\frac{6}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, we get $3\\frac{2}{7} + &nbsp;2\\frac{4}{7}=5\\frac{6}{7}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, Ron and his friend covered $5\\frac{6}{7}$ miles during their trip.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Adding Mixed Numbers<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Find the sum of the two mixed fractions $4\\frac{2}{6}$ and $5\\frac{1}{6}$. <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$6\\frac{2}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$9\\frac{1}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$4\\frac{2}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$9\\frac{3}{6}$<\/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: $9\\frac{3}{6}$<br\/>$4\\frac{2}{6} +5\\frac{1}{6}  = 4 + 5 + \\frac{2}{6} + \\frac{1}{6}$<br>\r\n$= 9 + \\frac{3}{6}$<br>\r\n$= 9\\frac{3}{6}$<\/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\">Sam jogged $3\\frac{1}{5}$ miles during a marathon while his friend jogged for $2\\frac{1}{5}$ miles. How much distance did they cover altogether?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$5\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$5\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2\\frac{2}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$1\\frac{1}{25}$<\/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: $5\\frac{2}{5}$<br\/>We will find the answer by adding mixed numbers, $3\\frac{1}{5}$ and $2\\frac{1}{5}$.<br>\r\n$3\\frac{1}{5} +2\\frac{1}{5}  = 3 + 2 + \\frac{1}{5} + \\frac{1}{5}$<br>\r\n$= 5 + \\frac{2}{5}$<br>\r\n$= 5\\frac{2}{5}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the sum of $5\\frac{2}{5}$ and  $6\\frac{4}{5}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$5\\frac{2}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$12\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$13\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$12\\frac{1}{7}$<\/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: $12\\frac{1}{5}$<br\/>$5\\frac{2}{5} +6\\frac{4}{5}  = 5 + 6 + \\frac{2}{5} + \\frac{4}{5}  = 11 + \\frac{6}{5} = 11 + 1\\frac{1}{5} = 12\\frac{1}{5}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        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                   \"@type\": \"Comment\",\n                      \"text\": \"$$4\\\\frac{2}{6} +5\\\\frac{1}{6}  = 4 + 5 + \\\\frac{2}{6} + \\\\frac{1}{6}$$<br>\r\n$$= 9 + \\\\frac{3}{6}$$<br>\r\n$$= 9\\\\frac{3}{6}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6\\\\frac{2}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{6} +5\\\\frac{1}{6}  = 4 + 5 + \\\\frac{2}{6} + \\\\frac{1}{6}$$<br>\r\n$$= 9 + \\\\frac{3}{6}$$<br>\r\n$$= 9\\\\frac{3}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$9\\\\frac{1}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{6} +5\\\\frac{1}{6}  = 4 + 5 + \\\\frac{2}{6} + \\\\frac{1}{6}$$<br>\r\n$$= 9 + \\\\frac{3}{6}$$<br>\r\n$$= 9\\\\frac{3}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4\\\\frac{2}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$4\\\\frac{2}{6} +5\\\\frac{1}{6}  = 4 + 5 + \\\\frac{2}{6} + \\\\frac{1}{6}$$<br>\r\n$$= 9 + \\\\frac{3}{6}$$<br>\r\n$$= 9\\\\frac{3}{6}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$9\\\\frac{3}{6}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$4\\\\frac{2}{6} +5\\\\frac{1}{6}  = 4 + 5 + \\\\frac{2}{6} + \\\\frac{1}{6}$$<br>\r\n$$= 9 + \\\\frac{3}{6}$$<br>\r\n$$= 9\\\\frac{3}{6}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$4\\\\frac{2}{6} +5\\\\frac{1}{6}  = 4 + 5 + \\\\frac{2}{6} + \\\\frac{1}{6}$$<br>\r\n$$= 9 + \\\\frac{3}{6}$$<br>\r\n$$= 9\\\\frac{3}{6}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Sam jogged $$3\\\\frac{1}{5}$$ miles during a marathon while his friend jogged for $$2\\\\frac{1}{5}$$ miles. How much distance did they cover altogether?\",\n                    \"text\": \"Sam jogged $$3\\\\frac{1}{5}$$ miles during a marathon while his friend jogged for $$2\\\\frac{1}{5}$$ miles. How much distance did they cover altogether?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We will find the answer by adding mixed numbers, $$3\\\\frac{1}{5}$$ and $$2\\\\frac{1}{5}$$.<br>\r\n$$3\\\\frac{1}{5} +2\\\\frac{1}{5}  = 3 + 2 + \\\\frac{1}{5} + \\\\frac{1}{5}$$<br>\r\n$$= 5 + \\\\frac{2}{5}$$<br>\r\n$$= 5\\\\frac{2}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We will find the answer by adding mixed numbers, $$3\\\\frac{1}{5}$$ and $$2\\\\frac{1}{5}$$.<br>\r\n$$3\\\\frac{1}{5} +2\\\\frac{1}{5}  = 3 + 2 + \\\\frac{1}{5} + \\\\frac{1}{5}$$<br>\r\n$$= 5 + \\\\frac{2}{5}$$<br>\r\n$$= 5\\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\frac{2}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We will find the answer by adding mixed numbers, $$3\\\\frac{1}{5}$$ and $$2\\\\frac{1}{5}$$.<br>\r\n$$3\\\\frac{1}{5} +2\\\\frac{1}{5}  = 3 + 2 + \\\\frac{1}{5} + \\\\frac{1}{5}$$<br>\r\n$$= 5 + \\\\frac{2}{5}$$<br>\r\n$$= 5\\\\frac{2}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1\\\\frac{1}{25}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We will find the answer by adding mixed numbers, $$3\\\\frac{1}{5}$$ and $$2\\\\frac{1}{5}$$.<br>\r\n$$3\\\\frac{1}{5} +2\\\\frac{1}{5}  = 3 + 2 + \\\\frac{1}{5} + \\\\frac{1}{5}$$<br>\r\n$$= 5 + \\\\frac{2}{5}$$<br>\r\n$$= 5\\\\frac{2}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$5\\\\frac{2}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We will find the answer by adding mixed numbers, $$3\\\\frac{1}{5}$$ and $$2\\\\frac{1}{5}$$.<br>\r\n$$3\\\\frac{1}{5} +2\\\\frac{1}{5}  = 3 + 2 + \\\\frac{1}{5} + \\\\frac{1}{5}$$<br>\r\n$$= 5 + \\\\frac{2}{5}$$<br>\r\n$$= 5\\\\frac{2}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We will find the answer by adding mixed numbers, $$3\\\\frac{1}{5}$$ and $$2\\\\frac{1}{5}$$.<br>\r\n$$3\\\\frac{1}{5} +2\\\\frac{1}{5}  = 3 + 2 + \\\\frac{1}{5} + \\\\frac{1}{5}$$<br>\r\n$$= 5 + \\\\frac{2}{5}$$<br>\r\n$$= 5\\\\frac{2}{5}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the sum of $$5\\\\frac{2}{5}$$ and  $$6\\\\frac{4}{5}$$.\",\n                    \"text\": \"Find the sum of $$5\\\\frac{2}{5}$$ and  $$6\\\\frac{4}{5}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$5\\\\frac{2}{5} +6\\\\frac{4}{5}  = 5 + 6 + \\\\frac{2}{5} + \\\\frac{4}{5}  = 11 + \\\\frac{6}{5} = 11 + 1\\\\frac{1}{5} = 12\\\\frac{1}{5}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5\\\\frac{2}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{2}{5} +6\\\\frac{4}{5}  = 5 + 6 + \\\\frac{2}{5} + \\\\frac{4}{5}  = 11 + \\\\frac{6}{5} = 11 + 1\\\\frac{1}{5} = 12\\\\frac{1}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$13\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{2}{5} +6\\\\frac{4}{5}  = 5 + 6 + \\\\frac{2}{5} + \\\\frac{4}{5}  = 11 + \\\\frac{6}{5} = 11 + 1\\\\frac{1}{5} = 12\\\\frac{1}{5}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12\\\\frac{1}{7}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$5\\\\frac{2}{5} +6\\\\frac{4}{5}  = 5 + 6 + \\\\frac{2}{5} + \\\\frac{4}{5}  = 11 + \\\\frac{6}{5} = 11 + 1\\\\frac{1}{5} = 12\\\\frac{1}{5}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$12\\\\frac{1}{5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$5\\\\frac{2}{5} +6\\\\frac{4}{5}  = 5 + 6 + \\\\frac{2}{5} + \\\\frac{4}{5}  = 11 + \\\\frac{6}{5} = 11 + 1\\\\frac{1}{5} = 12\\\\frac{1}{5}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$5\\\\frac{2}{5} +6\\\\frac{4}{5}  = 5 + 6 + \\\\frac{2}{5} + \\\\frac{4}{5}  = 11 + \\\\frac{6}{5} = 11 + 1\\\\frac{1}{5} = 12\\\\frac{1}{5}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f01c536d-a665-43af-872d-226799dd867c\" 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-f01c536d-a665-43af-872d-226799dd867c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f01c536d-a665-43af-872d-226799dd867c\"><strong>How many parts does a mixed number have?<\/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-f01c536d-a665-43af-872d-226799dd867c\">\n\n<p>A mixed number has 2 parts. It has a whole number and a proper fraction.<\/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-f01c536d-a665-43af-872d-226799dd867c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f01c536d-a665-43af-872d-226799dd867c\"><strong>Can a proper fraction be greater than 1 in value?<\/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-f01c536d-a665-43af-872d-226799dd867c\">\n\n<p>No, a proper fraction will always be smaller than 1 in value.<\/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-f01c536d-a665-43af-872d-226799dd867c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f01c536d-a665-43af-872d-226799dd867c\"><strong>Does the denominator change while adding two mixed numbers with the same denominator?<\/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-f01c536d-a665-43af-872d-226799dd867c\">\n\n<p>No, the denominator remains the same when adding two mixed numbers with the same denominator.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Adding Mixed Numbers A mixed number is a type of fraction that has two parts: a whole number and a proper fraction. It is also known as a mixed fraction.&nbsp;&nbsp; Normally, a mixed number represents a number between any two whole numbers. We often come across examples of mixed numbers in our daily life. Let &#8230; <a title=\"Adding Mixed Numbers\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/adding-mixed-numbers\" aria-label=\"More on Adding Mixed Numbers\">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-1315","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\/1315","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=1315"}],"version-history":[{"count":23,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1315\/revisions"}],"predecessor-version":[{"id":41586,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1315\/revisions\/41586"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1315"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1315"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}