# How to Find a Fraction of a Number

## Finding a Fraction of a Number

A fraction of a number lets us find part of a number.

Imagine ^{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.