GCSE(F),

Instead of dividing fractions, carry out a multiplication.

By changing the division to a multiplication (its **inverse** operation), the *second* fraction must also be inverted (turned upside down).

1. Calculate `frac(1)(8)` ÷ `frac(2)(3)`.

Answer: `frac(3)(16)`

`frac(1)(8) ÷ frac(2)(3)`

` = frac(1)(8) xx frac(3)(2)`

` = frac(3)(16)`

2. Two-fifths of a cake has to be split 4 ways. What fraction of the cake does each person receive?

Answer: `frac(1)(10)`

`frac(2)(5)÷4 = frac(2)(5) ÷ frac(4)(1)`

` = frac(2)(5) xx frac(1)(4)`

` = frac(2^(÷2) xx 1)(5 xx 4_(÷2))`

` = frac(1 xx 1)(5 xx2)`

` = frac(1)(10)`

Our iOS app has over 1,000 questions to help you practice this and many other topics.

Available to download free on the App Store.

Available to download free on the App Store.