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What is an equivalent fraction and how to work out an equivalent fraction (2/4 = 4/8)

Updated on March 6, 2012

Equivalent fractions are fractions that are the same size. The numbers on the numerator and denominator may be different, but if you draw out the fractions on a circle they will cover exactly the same amount of space. So for example, 4/8 and 2/4 are equivalent to each other, as they cover exactly half of a shape.

To find a fraction which is equivalent to another fraction, all you need to do is multiply the numerator and denominator of the fraction by the same number.

Example 1

Write down an equivalent fraction to 2/3.

All you need to do is pick a times-table and multiply the numerator and denominator by this times table.

Let’s go with the 6 times table.

2 × 6 = 12

3 × 6 = 18

So 2/3 = 12/18

Example 2

Write down an equivalent fraction to 6/11.

Like example 1, all you need to do is pick a times-table and multiply the numerator and denominator by this times-table.

This time, let’s pick the 7 times table.

6 × 7 = 42

11 × 7 = 77

Therefore, 6/11 = 42/77

Example 3

Write down an equivalent fraction to 5/8.

This time, let’s pick the 3 times-table.

5 × 3 = 15

8 × 3 = 24

Therefore, 5/8 = 15/24

Example 4

Write down an equivalent fraction to 3/4.

This time, let’s pick the 9 times-table.

3 × 9 = 27

4 × 9 = 36

Therefore, 3/4 = 27/36

Example 5

Find the missing numerator of these equivalent fractions 2/5 = ?/35.

Here, you need to find the times-table that the first fraction has been multiplied by to give the second fraction.

Do this by dividing the two denominators.

35 ÷ 5 = 7

So all you need to do now is multiply the numerator by 7.

2 × 7 = 14.

So 2/5 = 14/35.

Example 6

Find the missing denominator of these equivalent fractions 5/6 = 20/?

Again, you need to find the times-table that the first fraction has been multiplied by to give the second fraction.

Do this by dividing the two numerators.

20 ÷ 5 = 4

So all you need to do now is multiply the numerator by 4.

6 × 4 = 24.

So 5/6 = 20/24

Comments

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  • profile image

    RealMadrid 5 years ago

    when i was in year 5, the teacher would show me a method, and i only remmember half of it, and it is completely different than your method, Example:

    24

    - -

    4 32 You must multiply 24 and 4 then i think you divide it with 32? i have a math test tommorow and i will fail if i didn't get this!!!

  • profile image

    Teara 5 years ago

    DAMN YOUR SMART!

  • profile image

    Nica is now Level 4 in Pioneer Trail! 5 years ago

    its coll

  • catman3000 profile image
    Author

    Mark 5 years ago from England, UK

    The question is a little vague. I think the question wants you to convert it to a decimal 5 divided by 6 = 0.83 rounded to 2 decimal places. Do this on your calculator.

  • profile image

    help with this fraction 5 years ago

    5/6 What is this value?

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