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Fractions (F)

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Fractions (F)

Get confident with GCSE Foundation fractions. Simplify, compare, and calculate with fractions, mixed numbers, and decimals in everyday contexts like recipes, time, and sharing.

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Fascinating Fact:

On a playlist, 1⁄3 hour equals 20 minutes because 1⁄3 × 60 equals 20. Fractions of an hour turn into minutes by multiplying 60.

In GCSE Maths (Foundation), you’ll work with fractions and mixed numbers: simplifying, finding equivalents, converting to decimals, and calculating. Expect adding, subtracting, multiplying, and dividing fractions using common denominators and clear step-by-step methods.

Key Terms

Numerator: The top number of a fraction; how many parts are taken.
Denominator: The bottom number of a fraction; how many equal parts make the whole.
Mixed number: A whole number and a fraction together, like 2 1⁄4.

Frequently Asked Questions (Click to see answers)

How do you add fractions with different denominators?

Find a common denominator, convert each fraction to an equivalent with that denominator, add the numerators, then simplify the result.

How do I convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and place over the original denominator. For 2 1⁄4: (2×4+1)⁄4 = 9⁄4.

How do I find a fraction of a quantity?

Multiply the quantity by the fraction. Example: 3⁄5 of 40 is (3⁄5)×40 = 24. Cancel first if possible to make the calculation easier.

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You can find more about this topic by visiting BBC Bitesize - Fractions

Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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