Multiplying and Dividing Fractions

Multiplying and Dividing Fractions builds on Year 7 in NSW Year 8 maths (NESA outcome MA4‑FRC‑C‑01). To multiply, cancel a numerator with a denominator and multiply across; to divide, multiply by the reciprocal of the second fraction.

You will change mixed numerals to improper fractions, decide the sign first when negatives are involved, square a fraction such as \(\left(-1\frac{1}{2}\right)^2\) and follow the order of operations. You will also simplify \(\frac{2x}{3} \times \frac{9}{4}\) and solve problems on scaling a muffin recipe, a ferry’s average speed, the width of a garden bed and a steady overnight fall in temperature. It is part of Year 8 Fractions and Percentages.