Year 6 Fractions Worksheet - Intermediate

Year 6 Fractions worksheet for Year 6 (Key Stage 2 / Year 3-6 (Ages 7-11)). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Fractionsintermediate

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Fractions: Make Them Match!

Year 6 · Ages 10–11 · Intermediate

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Instructions: Work through each activity, showing clear working where you can. Simplify your answers fully, and use equivalent fractions to compare or calculate when needed. Check that each answer is reasonable.

Simplify and Find Common Denominators

Simplify each fraction by dividing the numerator and denominator by a common factor. For the last two, write equivalent fractions with the stated common denominator. Show your working.

1. Simplify 18/24.

2. Simplify 21/35.

3. Simplify 42/56.

4. Write 2/3 and 3/4 as equivalent fractions with denominator 12.

5. Write 5/6 and 2/9 as equivalent fractions with denominator 18.

Compare and Order

Use equivalent fractions or another clear method to compare the fractions. For questions 1–3, write <, > or = in the box. For questions 4–5, write the fractions in the requested order.

1. 5/8 2/3

2. 7/6 9/8

3. 3/4 6/8

4. Order from smallest to largest: 3/4, 5/6, 7/12.

5. Order from largest to smallest: 5/4, 7/6, 4/3.

Add and Subtract Fractions

Find a common denominator before adding or subtracting fractions with different denominators. Convert mixed numbers to improper fractions if that helps, then simplify each answer.

1. 2/3 + 1/4 =

2. 5/6 − 1/4 =

3. 1 1/2 + 2/3 =

4. 2 1/4 − 5/6 =

5. 3/5 + 7/10 =

Multiply and Divide Fractions

For multiplication, multiply the numerators and denominators, then simplify. For division by a whole number, divide the fraction by that number and give your answer in its simplest form.

1. 2/3 × 3/5 =

2. 4/7 × 7/8 =

3. 5/6 × 3/10 =

4. 3/4 ÷ 2 =

5. 5/8 ÷ 5 =

Fractions, Decimals and Percentages

Complete each equivalence. Give fractions in their simplest form. Remember that 1/2 = 0.5 = 50%, and use equivalent fractions to help with the other values.

1. Write 3/4 as a decimal and a percentage.

2. Write 0.2 as a fraction in its simplest form and as a percentage.

3. Write 35% as a fraction in its simplest form and as a decimal.

4. Complete: 2/5 = ___ = ___%.

5. Complete: ___ = 0.125 = ___%.

Answer Key

Activity 1: 3/4 ; 3/5 ; 3/4 ; 8/12 and 9/12 ; 15/18 and 4/18

Activity 2: < ; > ; = ; 7/12, 3/4, 5/6 ; 4/3, 5/4, 7/6

Activity 3: 11/12 ; 7/12 ; 2 1/6 ; 1 5/12 ; 1 3/10

Activity 4: 2/5 ; 1/2 ; 1/4 ; 3/8 ; 1/8

Activity 5: 0.75 and 75% ; 1/5 and 20% ; 7/20 and 0.35 ; 0.4 and 40% ; 1/8 and 12.5%