# Fractions of Numbers(KS2, Year 3)

homesitemapusing fractionsfinding 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.

## Question

What is 35 of 25?

## 1

Write a fraction of a number as a fraction × a number, like the formula above. In our example, the fraction is 35 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

We have found 35 of 25.

## Lesson Slides

The slider below shows another real example of finding a fraction of a number.

## Fraction of Number =Fraction × Number

When you see a question like:
Find 12 of 10
Translate of into ×:
Find 12 × 10

## Order of × and ÷ Doesn't Matter

• find numerator ÷ denominator, then
• × the number.
It is equally correct to do this the other way round:
• find numerator × the number, then
• ÷ by the denominator.

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