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What are Equivalent Fractions?

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Equivalent Fractions

What are Equivalent Fractions?

Equivalent fractions are fractions with the same value. For example ½, ⁵⁄₁₀, ⁸⁄₁₆ and ¹⁰⁄₂₀


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Download FREE teacher-made resources covering 'Equivalent Fractions'

Equivalent Fractions in Maths

Fraction Wall - KS2 Resource

Children often begin to explore equivalent fractions by using visual representations, such as fraction strips, bar models, or a fraction wall. They learn to recognize that fractions with different numerators and denominators can have the same value.

Why do we need to know equivalent fractions?

Understanding equivalent fractions enables children to order and compare fractions. Later, they can relate their findings to understanding equivalent fractions, decimals, and percentages.

Examples of Equivalent Fractions




How to Find Equivalent Fractions

Children can find equivalent fractions by comparing fractions on a bar model or by comparing two number lines.

Later, they will learn to make equivalent fractions by multiplying or dividing both the numerator and the denominator by the same number.

They learn to simplify fractions and make the link between common factors and equivalent fractions.

For example, to simplify the fraction 9/12, find a number that both the numerator and denominator can be divided by (also known as a 'common factor'), such as 3.

9/12 and 3/4are equivalent fractions, with 3/4being the fraction in its simplest form.


What Does the National Curriculum in England Say?

Children are introduced to fractions in Key Stage 1 and their knowledge and skills are developed each year, throughout the primary education phase. For more information or guidance, please see theNational Curriculum in England: Mathematics Programmes ofStudy.

Year 3: Number – Fractions

Pupils should be taught to:

  • recognise and show, using diagrams, equivalent fractions with small denominators.

Year 4: Number – Fractions (Including Decimals)

Pupils should be taught to:

  • recognise and show, using diagrams, families of common equivalent fractions.

Year 5: Number – Fractions (Including Decimals and Percentages)

Pupils should be taught to:

  • identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths.

Year 6: Number – Fractions (Including Decimals and Percentages)

Pupils should be taught to:

  • add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.
  • recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

Key Stage 3

Working mathematically

Through the mathematics content, pupils should be taught to:

Develop fluency

  • consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals, fractions, powers and

Explaining Equivalent Fractions in the Classroom

Equivalent fractions are fractions with the same value. For example: 1/2 and 5/10.

Children can begin to explore equivalent fractions using concrete materials (folding and cutting strips of paper, for example) before moving on to visual representations, such as fraction strips, bar models or a fraction wall. They learn to recognise that fractions with different numerators and denominators can have the same value.

Equivalent Fractions Resources

Twinkl has plenty of resources to support your teaching on equivalent fractions across the curriculum.

Teaching Video About Equivalent Fractions


Equivalent Fractions in Maths

Fraction Wall - KS2 Resource

Children often begin to explore equivalent fractions by using visual representations, such as fraction strips, bar models, or a fraction wall. They learn to recognize that fractions with different numerators and denominators can have the same value.

Why Do We Need to Know Equivalent Fractions?

Understanding equivalent fractions enables children to order and compare fractions. Later, they can relate their findings to understanding equivalent fractions, decimals, and percentages.

Examples of Equivalent Fractions




How to Find Equivalent Fractions

Children can find equivalent fractions by comparing fractions on a bar model or by comparing two number lines.

Later, they will learn to make equivalent fractions by multiplying or dividing both the numerator and the denominator by the same number.

They learn to simplify fractions and make the link between common factors and equivalent fractions.

For example, to simplify the fraction 9/12, find a number that both the numerator and denominator can be divided by (also known as a 'common factor'), such as 3.

9/12 and 3/4are equivalent fractions, with 3/4being the fraction in its simplest form.


What Does the National Curriculum in England Say?

Children are introduced to fractions in Key Stage 1 and their knowledge and skills are developed each year, throughout the primary education phase. For more information or guidance, please see theNational Curriculum in England: Mathematics Programmes ofStudy.

Year 3: Number – Fractions

Pupils should be taught to:

  • recognise and show, using diagrams, equivalent fractions with small denominators.

Year 4: Number – Fractions (Including Decimals)

Pupils should be taught to:

  • recognise and show, using diagrams, families of common equivalent fractions.

Year 5: Number – Fractions (Including Decimals and Percentages)

Pupils should be taught to:

  • identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths.

Year 6: Number – Fractions (Including Decimals and Percentages)

Pupils should be taught to:

  • add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.
  • recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

Key Stage 3

Working mathematically

Through the mathematics content, pupils should be taught to:

Develop fluency

  • consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals, fractions, powers and

Explaining Equivalent Fractions in the Classroom

Equivalent fractions are fractions with the same value. For example: 1/2 and 5/10.

Children can begin to explore equivalent fractions using concrete materials (folding and cutting strips of paper, for example) before moving on to visual representations, such as fraction strips, bar models or a fraction wall. They learn to recognise that fractions with different numerators and denominators can have the same value.

Equivalent Fractions Resources

Twinkl has plenty of resources to support your teaching on equivalent fractions across the curriculum.

Teaching Video About Equivalent Fractions

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