GCSE MATHS PRACTICE

GCSE Fractions Questions

Simplify a fraction by dividing its numerator and denominator by the same common factor. For addition or subtraction, first use a common denominator. To multiply, multiply the numerators and denominators; to divide, multiply by the reciprocal of the second fraction. Give answers in their simplest form. Try one example and four questions, then continue in the app.

Updated 10 October 2026

Worked example

Calculate 23 + 38. Give your answer as a simplified improper fraction.

Use 24 as a common denominator: 23 = 1624 and 38 = 924.
Add the numerators and keep the denominator: 1624 + 924 = 2524.
25 and 24 have no common factor greater than 1, so the fraction is fully simplified.

Answer: 2524

Practice questions

1
Simplify 2135.
2
Calculate 710 − 14.
3
Calculate 37 × 1415.
4
Calculate 56 ÷ 109.

Show answers

1. 35
2. 920
3. 25
4. 34

Common mistakes

Adding denominators — Use equivalent fractions with a common denominator, then add or subtract only the numerators.
Inverting the wrong fraction — When dividing, take the reciprocal of the second fraction.
Leaving a common factor — Simplify by dividing both numerator and denominator by the same factor.

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GCSE MATHS PRACTICE

GCSE Fractions Questions

Updated 10 October 2026

Worked example

Calculate 23 + 38. Give your answer as a simplified improper fraction.

Use 24 as a common denominator: 23 = 1624 and 38 = 924.
Add the numerators and keep the denominator: 1624 + 924 = 2524.
25 and 24 have no common factor greater than 1, so the fraction is fully simplified.

Answer: 2524

Practice questions

1
Simplify 2135.
2
Calculate 710 − 14.
3
Calculate 37 × 1415.
4
Calculate 56 ÷ 109.

Show answers

1. 35
2. 920
3. 25
4. 34

Common mistakes

Adding denominators — Use equivalent fractions with a common denominator, then add or subtract only the numerators.
Inverting the wrong fraction — When dividing, take the reciprocal of the second fraction.
Leaving a common factor — Simplify by dividing both numerator and denominator by the same factor.

GCSE Fractions Questions

Worked example

Practice questions

Common mistakes

Related resources

More Maths Unlocked lessons

GCSE Fractions Questions

Worked example

Practice questions

Common mistakes

Related resources

More Maths Unlocked lessons