How to convert fractions to decimals

Divide the numerator by the denominator to turn any fraction into a decimal. Here is the method, including what to do with repeating decimals.

To convert a fraction to a decimal, divide the numerator by the denominator.

$\frac{3}{4} = 3 \div 4 = 0.75$

Repeating decimals

Some fractions never terminate. For example:

$\frac{1}{3} = 0.333\ldots$

When this happens, write the repeating part with a bar: $0.\overline{3}$ .

If the denominator has only the prime factors 2 and 5, the decimal terminates. Otherwise it repeats. Practise converting randomised fractions below.

Practise this topic with questions and get an explanation after each answer.