[Maths Class Notes] on Fractions on the Number Line Pdf for Exam

Some More Examples of Fraction

The fraction 3/5 is read as ‘three-fifth,’ which means 3 parts out of 5 equal parts in which the whole is divided. In the fraction 3/5, 3 is the numerator, and 5 is the denominator.

Similarly, fraction 5/12 is read as ‘fifth-twelfth,’ which means 5 parts out of 12 equal parts in which the whole is divided. In the fraction 5/12, 5 is the numerator, and 12 is the denominator.

Now let us learn how fractions are represented on a number line.

How to Represent Fraction on a Number Line?

Representing fractions on a number line means that we can show fractions on a number line. To represent half (1/2) on the number line, draw a number line and mark a point A to represent 1. Mark another point O to represent 0.

Now divide the gap between O and A equally into two parts. Let Point T represent the point of division. Then point T is ½ of O and A.

Now to represent 1/3 on a number line, divide the gap between O and A into 3 equal parts. Let Q be the new point of division along with T. Now, T represents 1/3 and Q represents 2/3, as 2/3 means 2 sections of 3 equal parts as shown in the diagram.

By using the same method point, A represents 3/3, and point O represents 0/3.

Therefore, we have 3/3 = 1 and 0/3 = 0.

This is how to represent fractions on the number line.

To represent 3/5 on a number line we now divide the gap between 0 and 1 into 5 equal parts and take the first 3 parts from 0 as shown in the figure below.

Now, we get a fraction of 3/5 on a number line.

Here, we saw the representation of a proper fraction on a number line. To represent an improper fraction, we must first convert them into mixed fractions. The procedure shown above is used with the whole number as the starting point.

Fun Facts on Fractions

1. A blank number line was originally proposed as a visual model or diagram for solving subtraction and addition operations. 

2. An empty or blank number line is a visual diagram of a number line with no numbers or markers and is mostly used for solving word problems.

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