Chapter overview Maths

Number and place value

Multiplication and division

Fractions

Measurement

Geometry - properties of shapes

Statistics

Maths

# Equivalent fractions 0%

Summary

# Equivalent fractions

## In a nutshell

Equivalent fractions are fractions which represent the same amount.  They may look different, but are actually worth the same.

##### Example 1

The fractions represented below are equivalent fractions.  ​$\frac{1}{4}$​​ ​$\frac{2}{8}$​​

## Finding equivalent fractions

To find fractions that are equivalent, you can multiply or divide the top and bottom numbers by the same number.

##### Example 2

These fractions are all equivalent to one half.

#### Procedure

 Multiply to find equivalent fractions Divide to find equivalent fractions Multiply the numerator and the denominator by the same number. Divide the numerator and the denominator by the same number. ​$\frac{1}{2}=\frac{1\times2}{2\times2}=\frac{2}{4}$ $\frac{4}{8}=\frac{4\div4}{8\div4}=\frac{1}{2}$​​ ​$\frac{2}{3}=\frac{2\times3}{3\times3}=\frac{6}{9}$​​ ​$\frac{3}{6}=\frac{3\div3}{6\div3}=\frac{1}{2}$​​

##### Example 3

Which of the following fractions are equivalent?

$\frac{2}{3}, \frac{5}{9}, \frac{6}{9}$​​

Multiply the numerator and denominator by the same number so all fractions have the same denominator:

$\frac{2\times3}{3\times3}=\frac{6}{9}$​​

Note which fractions now have the same numerator and denominator:

$\underline{\frac{2}{3}=\frac{6}{9}}$​​

##### Example 4

Which of the following fractions are equivalent?

$\frac{10}{25}, \frac{3}{5}, \frac{15}{25}$​​

Divide the numerator and denominator by the same number so all fractions have the same denominator.

$\dfrac{10\div5}{25\div5} = \dfrac{2}{5}$​​

##### ​$\dfrac{15\div5}{25\div5}=\dfrac{3}{5}$​​

Note which fractions now have the same numerator and denominator:

$\underline{\frac{3}{5}=\frac{15}{25}}$​​

FAQs

• Question: How to find equivalent fractions step by step.

Answer: To find fractions that are equivalent, you can multiply or divide the top and bottom numbers by the same number.

• Question: How do you find equivalent fractions?

Answer: To find fractions that are equivalent, you can multiply or divide the top and bottom numbers by the same number.

• Question: What are equivalent fractions?

Answer: Equivalent fractions are fractions which represent the same amount. They may look different, but are actually worth the same.

Theory

Exercises