^{3}/

_{5}(three-fifths) of a class of 25 students love mathematics. 15 students (

^{3}/

_{5}of 25) love mathematics.

## How to Find the Fraction of a Number

To find the**fraction**of a

**number**you have to multiply the fraction by the number:

**Hint:**'of' means '×' when finding a fraction of a number.

## A Real Example of How to Find the Fraction of a Number

## Question

What is^{3}⁄

_{5}of 25?

## Step-by-Step:

## 1

Write a

**fraction of a number**as a**fraction × a number**, like the formula above. In our example, the fraction is^{3}⁄_{5}and the number is 25.## 2

Divide the top number (called the numerator) of the fraction (3) by the bottom number (called the denominator) of the fraction (5).

3 ÷ 5 = 0.6

## 3

Multiply the answer (0.6) by the number (25).

0.6 × 25 = 15

## Answer:

We have found^{3}⁄

_{5}of 25.

## Top Tip

## Fraction of Number =

Fraction × Number

When you see a question like:
Find

Translate ^{1}⁄_{2}of 10**of**into

**×**:

Find

^{1}⁄_{2}× 10## Order of × and ÷ Doesn't Matter

In the example shown on this page, you:- find
**numerator ÷ denominator**, then **× the number**.

- find
**numerator × the number**, then **÷ by the denominator**.

## You might also like...

fractionsfinding the power of a fractionexpressing a number as a fraction of another numberconverting a fraction to a percentage

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