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 — fractions (including decimals and percentages)

Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

The 36 questions grade from related denominators to mixed numbers.

Number — fractions (including decimals and percentages)

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination

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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