MathsYears 10–11Number
Recurring decimals to fractions
Convert recurring decimals to fractions using algebraic proof
What you'll learn
- 1
A recurring decimal like 0.333... means the 3 repeats forever. You can turn it into a fraction!
- 2
Let's turn 0.333... into a fraction together.
- 3
What is the first step to turn 0.666... into a fraction?
- 4
Now try 0.777... – use the number line to see the pattern, then find the fraction.
- 5
What about 0.121212...? The repeating part is 2 digits long.
- 6
What do you multiply by if 3 digits repeat (like 0.123123...)?
- 7
Turn 0.555... into a fraction. What is it?
Practise Recurring decimals to fractions with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.