Fractions
Year 7 🔢 Number Simplify, compare, add, subtract, multiply and divide fractions.
½ Understanding Fractions
A fraction $\frac{a}{b}$ means $a$ parts out of $b$ equal parts.
Think of pizza! ¾ means 3 out of 4 equal slices.
➕ Adding & Subtracting Fractions
Find a common denominator first!
Adding Fractions
$$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$Example: $\frac{2}{3} + \frac{1}{4} = \frac{8}{12} + \frac{3}{12} = \frac{11}{12}$
✖️ Multiplying & Dividing Fractions
Multiply & Divide
$$\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \qquad \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$Multiply: $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$
Divide: $\frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times \frac{4}{1} = \frac{8}{3}$
Divide: $\frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times \frac{4}{1} = \frac{8}{3}$
Ready to test yourself? Click the Quiz tab above to answer questions on this topic!
Interactive Demonstration — Fractions
🍕 Fraction Calculator & Visualiser