Help your students prepare for their Maths GCSE with this free recurring decimals to fractions worksheet of 45 questions and answers
Recurring decimals, or repeating decimals, are decimal numbers with an indefinite pattern of repeating digits.
To convert recurring decimals to fractions we use a method which involves multiplying the decimal by a power of 10 in such a way that the pattern of numbers after the decimal point lines up with the original decimal. We can then subtract the two numbers, leaving an integer which we can use to write the fraction.
For example, let’s consider the decimal 0.6363636363…, we can call this number x. If we multiply this number by 100 we get 63.63636363…= 100x . We then need to subtract x from 100x to leave we are left with the integer 63 equal to 99x. Finally, dividing both sides by 99 gives us a fraction with 63 as the numerator and 99 as the denominator. So the recurring decimal 0.636363… is equal to 63 over 99. We usually work with fractions in their simplest form so simplifying this fraction we get 711.
Looking forward, students can then progress to additional number worksheets, for example a fractions worksheet or a rounding worksheet.
For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.