Adding and Subtracting Fractions with Different Denominators

Year 6 MathsFractions, Decimals and Percentages2 pages

About this worksheet

Thirty-six fraction calculations across three levels for Year 6 maths. Pupils start with related denominators like 1/2 + 1/4, move to unrelated pairs such as 3/4 - 2/5, then finish with mixed numbers and missing-value questions like ___ + 1/3 = 1/2. All three sections have answers included. Matched to the England National Curriculum objectives on equivalent fractions.

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Curriculum objectives covered

Number โ€” fractions (including decimals and percentages)

โ€œAdd and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractionsโ€

The 36 questions grade from related denominators to mixed numbers.

Number โ€” fractions (including decimals and percentages)

โ€œUse common factors to simplify fractions; use common multiples to express fractions in the same denominationโ€

Every calculation needs a common denominator found first.

What's inside this worksheet

Warm up: Related Denominators

Twelve questions like 2/3 - 1/6 where one denominator is a multiple of the other.

Level up: Different Denominators

Twelve questions with unrelated denominators, such as 1/3 + 1/4.

Challenge: Mixed and Missing Numbers

Twelve questions with mixed numbers and blanks, like 1 1/2 + 3/4.

How teachers use it

Fluency practice

Thirty-six graded questions fill a practice lesson after the method is taught.

Homework

Set one level per night; the answer key allows self-marking.

Intervention group

Start at related denominators with pupils who lose track of equivalence.

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