# How to Calculate Fractions of numbers

Welcome to the Math Salamanders support page about How to Calculate Fractions of Numbers.

Here you will find information and support about how to find fractions of different numbers.

## How to Calculate Fractions

### How to find a fraction of a 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!

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

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