# How to Find a Fraction of a Number (Mathematics Lesson)

# 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

#### An Example Question

What is^{3}⁄

_{5}of 25?

Step 1

**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.

Step 2

3 ÷ 5 = 0.6

Step 3

0.6 × 25 = 15

We have an answer:# Another Real Example of How to Find a Fraction of a Number

The slider below shows another example of finding a fraction of a number:##### Interactive Test

**show**

Here's a second test on finding a fraction of a number.

Here's a third test on finding a fraction of a number.

##### Top Tip

# Fraction of Number =

Fraction × Number

When you see a question like:**Find**

^{1}⁄_{2}of 10Translate

**of**into

**×**:

^{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**.

# Multiplying a Number by a Mixed Fraction

The method used on this page is only suitable for:It is not suitable for:

For example, if you wanted to find a mixed fraction of a number, such as:

Convert the mixed fraction to an improper fraction and then follow the method shown here.