Year 8 Fractions Worksheet - Beginner

Year 8 Fractions worksheet for Year 8 (Key Stage 3 / Year 7-9 (Ages 11-14)). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 3 / Year 7-9 (Ages 11-14)•Fractionsbeginner

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Fractions in Action

Year 8 | Ages 12–13 | Beginner

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Instructions: Work through each activity in order. Show your working in the answer spaces, and simplify fractions where possible. For division, remember that dividing by a fraction is the same as multiplying by its reciprocal.

Four Operations: Build Your Confidence

For addition and subtraction, use a common denominator before calculating. For multiplication, multiply the numerators and denominators, then simplify. For division, turn the second fraction upside down and multiply. Convert mixed numbers to improper fractions when needed.

1. 2/3 + 1/6 =

2. 5/4 − 1/2 =

3. 1 1/2 × 2/3 =

4. 3/4 ÷ 1/2 =

Mixed Numbers and Improper Fractions

Convert mixed numbers to improper fractions before calculating. Keep each operation in the order shown, and simplify your final answer. Check whether your answer is best written as a fraction or a mixed number.

1. 1 2/5 + 2 1/5 =

2. 3 1/4 − 1 3/4 =

3. 1 1/2 × 1 1/3 =

4. 2 1/4 ÷ 3/4 =

Fractions, Decimals and Percentages

Convert each value to the form requested. For recurring decimals, the dots show which digit or digits repeat. Use an equivalent fraction or decimal to help you, and give recurring answers exactly where possible.

1. Convert 3/5 to a decimal and a percentage. [3 marks]

2. Convert 0.375 to a fraction in its simplest form and a percentage. [3 marks]

3. Convert 72% to a fraction in its simplest form and a decimal. [3 marks]

4. Convert 0.3̇ (0.333...) to a fraction in its simplest form and a percentage. [3 marks]

Fractions of Amounts: Two-Step Problems

Work out each fraction of an amount first, then use the result in the next step. Write the unit in your final answer. You can find a unit fraction by dividing the amount by its denominator.

1. A £36 book voucher is spent: 2/3 of it is used on books. How much money is left? [3 marks]

2. A class has 28 pupils. 3/7 of them travel by bus. Of the remaining pupils, 1/4 walk. How many pupils walk? [3 marks]

3. A 2-litre bottle is 3/4 full. Sam pours out 1/3 of the drink in the bottle. How many litres remain? [3 marks]

4. A baker has 3 kg of flour and uses 2/5 of it for bread, then 1/3 of the original amount for cakes. How many kilograms are left? [3 marks]

Divide by Multiplying by the Reciprocal

To divide by a fraction, keep the first number, change division to multiplication, and flip the second fraction to make its reciprocal. Simplify your answer and convert any improper fraction to a mixed number if helpful.

1. 2/3 ÷ 1/6 =

2. 3/5 ÷ 2/3 =

3. 1 1/2 ÷ 3/4 =

4. 2 2/5 ÷ 4/5 =

Mixed Skills: Choose a Sensible Method

These questions combine the skills from the worksheet. Work carefully through each step, showing how you convert or simplify fractions. In Question 2, use the recurring decimal as an exact value.

1. Calculate 1 1/2 + 3/4 ÷ 1/2. [3 marks]

2. A ribbon is 2.4 m long. A crafter uses 1/3 of it for one project and 25% of the original length for another. How many metres remain? [3 marks]

3. Calculate 5/6 − 0.2̇ (0.222...) and give your answer as a fraction in its simplest form. [3 marks]

Answer Key

Activity 1: 5/6 ; 3/4 ; 1 ; 3/2

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

Activity 3: 1. 0.6 and 60% ; 2. 3/8 and 37.5% ; 3. 18/25 and 0.72 ; 4. 1/3 and 33 1/3% (or 33.3̇%)

Activity 4: 1. £12 ; 2. 3 pupils ; 3. 1 litre ; 4. 4/5 kg

Activity 5: 4 ; 9/10 ; 2 ; 3

Activity 6: 1. 3 ; 2. 1.06 m ; 3. 11/18