GCSE Maths - Converting Recurring Decimals

• If we get a question, like convert 0.444444.. (or 0.4r for short) from a recurring decimal to a fraction, how do we do so?

Step 1: Make X equal the number shown in the question. X = 0.4r (This is just making the working out much easier).

Step 2: We work out 10X, (this is because only 4 is repeated in the recurring part of the decimal. We only have one digit to worry about) which in the case is just 10 x 0.4444444..
10X = 4.4r

We now have…