# 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 of the number 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:

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

### Examples of How to Calculate Fractions of Numbers

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

### Learning Fractions Math Help Page

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