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?

Answer

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?

Answer

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