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Year 3 equivalent fractions worksheets

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Year 3 · Equivalent fractions

Finding equivalent fractions

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ticked. · free UK primary worksheetsSheet #00137

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Year 3 · Equivalent fractions · Finding equivalent fractions

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ticked. · answersSheet #00137

What Year 3 equivalent fractions covers

In Year 3, children recognise equivalent fractions with small denominators — halves, thirds and quarters. Each question gives a fraction and a new denominator, and the child fills in the missing numerator: 1/2 = ?/6 or 2/3 = ?/12. Whatever the denominator was multiplied by, the numerator is multiplied by the same number. Every sheet is A4, print-ready, and comes with an answer key.

Answers included — a separate marking page with every sheet.

Questions parents ask

What are equivalent fractions?

Two fractions are equivalent when they describe the same amount, even though the numbers look different — 1/2 and 2/4 are the same size. You get an equivalent fraction by multiplying the numerator and the denominator by the same number.

How does my child work out the missing numerator?

Look at what the bottom number was multiplied by. In 2/3 = ?/12 the denominator went from 3 to 12, so it was multiplied by 4 — do the same to the top: 2 × 4 = 8, giving 8/12.

Why is the answer not written in its simplest form?

Because simplifying it would just give back the fraction on the left. The point of the exercise is to scale a fraction up to a new denominator, so 2/3 = 8/12 is exactly the answer we want. Writing fractions in their simplest form comes later, in Year 6.

Are the answers included?

Yes. Keep 'Answers' ticked and a separate answer-key page is made with every sheet, so marking takes seconds. Every answer is computed exactly and checked.