**Associate Fractions with Decimals** *KS2 Revision*

## What you need to know

**Things to remember:**

- To convert a fraction into a decimal, we turn the fraction into a division question.
- If you learn some basic fractions with 1 on top, you can then just multiply this decimal by the actual number on top.

Remember, a fraction is just another way of writing a division.

\frac{1}{4}=1\div4

But we know how to do divisions; we use the bust stop method!

So, we have divided our 1 by 4, to get 0.25. This means that:

\frac{1}{4}=0.25

We can use this method to write every fraction as a decimal, but it is easier to try and learn some of the common fractions and decimals.

Fraction Decimal

\dfrac{1}{2} 0.5

\dfrac{1}{4} 0.25

\dfrac{1}{5} 0.2

\dfrac{1}{8} 0.125

\dfrac{1}{10} 0.10

\dfrac{1}{20} 0.05

\dfrac{1}{50} 0.02

\dfrac{1}{100} 0.01

When you learn these, all you will have to do is multiply to find bigger fractions.

*What is \dfrac{3}{8} as a decimal?*

How would we say this fraction in words? We’d say “three-eighths”. So, this is telling us that we have three lots of one-eighth.

\frac{3}{8}=3\times\frac{1}{8}

But, we can write \dfrac{1}{8} as a decimal.

\frac{1}{8}=0.125

\frac{3}{8}=3\times\frac{1}{8}=3\times0.125=0.375

\frac{3}{8} =0.375

Let’s break this down into steps.

*What is \dfrac{3}{4} as a decimal?*

**Step 1: **Think of the fraction with a 1 on top and write this as a decimal.

\frac{1}{4}=0.25

**Step 2: **Multiply by the actual number on top of the fraction.

0.25\times3=0.75

\frac{3}{4}=0.75

## Example Questions

**Question 1:** *What is \dfrac{2}{5} as a decimal?*

**Step 1: **Think of the fraction with a 1 on top and write this as a decimal.

\frac{1}{5}=0.2

**Step 2: **Multiply by the actual number on top of the fraction.

0.2\times2=0.4

\frac{2}{5}=0.4

**Question 2:** *What is \dfrac{7}{10} as a decimal?*

**Step 1: **Think of the fraction with a 1 on top and write this as a decimal.

\frac{1}{10}=0.1

**Step 2: **Multiply by the actual number on top of the fraction.

0.1\times7=0.7

\frac{1}{10}=0.7