# Equivalent Fractions Worksheet • Section 1 of the equivalent fractions & ordering fractions worksheet contains 36 skills based equivalent fractions & ordering fractions questions, in 3 groups to support differentiation
• Section 2 contains 4 applied equivalent fractions & ordering fractions questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style equivalent fractions & ordering fractions questions
• Answers and a mark scheme for all equivalent fractions & ordering fractions questions
• Follows variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Equivalent fractions at a glance

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 aor a. There are also lots of additional fractions resources available. For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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