How to Use Number Lines to Identify Equivalent Fractions?

A Step-by-step guide to using number lines to identify equivalent fractions

Two or more fractions that show the same parts of a whole are called equivalent fractions. Equivalent fractions always represent the same point on the number line. There are two ways to indicate equivalent fractions: 1-Fraction bars, and 2-Number line.

In the Number line method, we draw a number line with whole numbers to represent any number. Then, we divide the space between each whole into equal parts, and the number of equal parts must match the number in the denominator. Then specify the point equal to the number.

Using Number Lines to Identify Equivalent Fractions-Example 1:

What is the equivalent fraction of \(\frac{1}{2}\)?

Solution: First, draw a number line of \(0\) and \(1\). Then divide the total into two parts equal to the denominator. Then check line \(\frac{1}{2}\). Then divide each part into two equal parts. Then for the same situation, we can see that the new fraction is \(\frac{2}{4}\) because there are \(4\) equal parts and the marking is after two equal parts. So, \(\frac{1}{2}\) and \(\frac{2}{4}\) are equivalent fractions.

Exercises for Using Number Lines to Identify Equivalent Fractions

Use a number line to find an equivalent fraction.

1. \(\color{blue}{\frac{1}{4}}\)
2. \(\color{blue}{\frac{2}{4}}\)

1.

2.