Fraction Number Line – Definition with Examples

What is a Fraction Number Line?

Fraction: A fraction denotes a part of a whole or a collection.

For example,

There are watermelon 1. I give 1 of them to my friend.

I’m left with watermelon.

I eat half watermelon of it. What am I left with?

Of course, the remaining half watermelon 1

The remaining watermelon is nothing but a fraction. It is called half.

Half is denoted as 1, where 1 is the numerator and 2 is the denominator.

Number Line: In math, a number line is a straight line with numbers placed at equal intervals or segments along its length.

A number line can be extended infinitely in any direction, and we usually represent it horizontally. The numbers on the number line increase as we move from left to right and decrease moving from right to left.

Number Line

Fraction Number Line

We know a fraction is less than 1.

So, if we have watermelon cut in half as shown below:

Fraction Number Line

We can represent them on a number line by following the given steps.

1. We draw a number line with markings at equal intervals.

Draw a number line

2. Then label the marks as shown. 

Label the number line marks

Steps to Make a Fraction Number Line:

Step 1: Draw a number line with whole numbers.

Number line with whole numbers

Step 2: Look for the denominator of the fractions we want to show on the number line.

For example, to show fourths on the number line.

Step 3: Mark as many points between each whole division as the denominator.

For example, to show fourths, divide each unit division into 4 parts.

Whole division as the denominator

Step 4: Write the fractions with the denominator.

For example, we want to show fourths, So, the denominator of the fractions will be 4. 

Fractions with the denominator

Step 5: Write the numerators as 1, 2, 3, 4, and so on.

Write the numerators

Your number line showing the fourths is ready!!!

Fun Facts
1. Blank number line was originally proposed as a visual model or diagram for solving addition and subtraction operations.
2. An empty or blank number line is a visual diagram of a number line with no numbers or markers and is essentially used for solving word problems.