# Fraction of a Whole Number

Welcome to our Fraction of a Whole Number support page. On this page we can help you learn to find a fraction of a number with clear step-by-step instructions and some worked examples.

We also have lots of practice sheets with different levels of support for you to try.

## Fraction of a Whole Number Support Page

### How to find a fraction of a whole number

Here are the two easy steps for finding the fraction of a number:

Step 1 - Find the unit fraction by dividing the number by the denominator

Step 2 - Multiply by the numerator.

You should have now found your fraction of a number!

Finding a fraction of a whole number is the same as multiplying the fraction by the whole number.

In other words:

${4 \over 5} \; of \; 30 \; is \; the \; same \; as \; {4 \over 5} \times 30$

### Fraction of a Whole Number Examples

#### Example 1) $Find \; {5 \over 6} \; of \; 24$

Step 1)

A unit fraction is a fraction where the numerator is equal to 1.

To find the unit fraction of a number, you need to divide the number by the denominator.

This gives us: ${1 \over 6} \; of \; 24 \; = \; 24 ÷ 6 \; = \; 4$

Step 2)

To find five-sixths, we need to multiply our answer by the numerator which is 5.

So ${5 \over 6} \; of \; 24 = ({1 \over 6} \; of \; 24) \times 5 = 4 \times 5 = 20$

#### Example 2) $Find \; {3 \over 7} \; of \; 35$

Step 1)

To find the unit fraction, we need to divide the number by the denominator.

This gives us: ${1 \over 7} \; of \; 35 \; = \; 35 ÷ 7 \; = \; 5$

Step 2)

To find three-sevenths, we need to multiply our answer by the numerator which is 3.

So ${3 \over 7} \; of \; 35 = ({1 \over 7} \; of \; 35) \times 3 = 5 \times 3 = 15$

#### Example 3) $Find \; {3 \over 10} \; of \; 230$

Step 1)

To find the unit fraction, we need to divide the number by the denominator.

This gives us: ${1 \over 10} \; of \; 230 = 230 ÷ 10 = 23$

Step 2)

To find three-tenths, we need to multiply our answer by the numerator which is 3.

So ${3 \over 10} \; of \; 230 = ({1 \over 10} \; of \; 230) \times 3$ and $({1 \over 10} \; of \; 230) \times 3 = 23 \times 3 = 69$

Final answer ${3 \over 10} \; of \; 230 \; = \; 69$

### More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

### Fractions of a Whole Number Online Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

This quick quiz tests your knowledge and skill at finding proper fractions of a range of numbers with our online quiz.

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