Help your students prepare for their Maths GCSE with this free Equivalent Fractions & Ordering Fractions worksheet of 42 questions and answers
Equivalent fractions are fractions which have the same value despite having different numerators and denominators. For example, the fraction 1 over 2 is equivalent to the fraction 3 over 6. To find an equivalent fraction we need to multiply or divide the numerator and denominator by the same number.
A fraction is in its simplest form when there are no common factors that can be cancelled from the numerator and denominator. When simplifying fractions we need to divide the numerator and denominator by the same number, for example let’s look at the given fraction of 15 over 20. This can be simplified to 3 over 4 by dividing the top and bottom by the common factor 5. There are no other whole numbers that are factors of 3 and 4, so the fraction is in its simplest form.
When comparing fractions, we can use the concept of equivalent fractions to rewrite the fractions with a common denominator. For example, for two different fractions such as 3 over 5 and 2 over 7, we need to look at the denominators and find the lowest common multiple of both numbers. In this case the lowest common denominator of 5 and 7 is 35 and so we need to write both fractions with a denominator of 35 and then calculate the missing numerators.
Looking forward, students can then progress to additional number worksheets, for example a percentage worksheet or a rounding worksheet. There are also lots of additional fractions resources available.
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.