Fractions Basics

MathematicsAQAEdexcelGCSEUnit: Number
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The basics

Parts of a Whole

Parts of a Whole

Imagine sharing a pizza with friends. If you cut it into 8 slices and take 3, you've taken 3/8 of the pizza. Fractions help us describe parts of things - from dividing food fairly to measuring ingredients precisely. They're the mathematical way to express "not quite whole" amounts.
Parts of a fraction: Numerator = top number (how many parts) Denominator = bottom number (total parts) Fraction bar = division line 3/4 means '3 out of 4 equal parts'
Key terms

Mathematics glossary

Parts of a fraction
Numerator = top number (how many parts) Denominator = bottom number (total parts) Fraction bar = division line 3/4 means '3 out of 4 equal parts'
Exam tip

Earn the mark scheme marks

Common Mistakes to Avoid

❌ Wrong: Not simplifying: Answer = 6/8 ✅ Right: Always simplify: 6/8 = 3/4

Marks lost for not giving simplest form

❌ Wrong: 2½ = 2×1 + 2 = 4/2 ✅ Right: 2½ = 2×2 + 1 = 5/2

Multiply whole by denominator, not numerator

❌ Wrong: ¾ of 80 = 80÷3×4 ✅ Right: ¾ of 80 = 80÷4×3 = 60

Divide by denominator first, then multiply

Now try it yourself

Quiz · Question 1 of 12

In the fraction 5/8, which number is the denominator?

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