Instead of dividing fractions, carry out a multiplication.
First, change the division to a multiplication (its inverse operation). Second, invert (turn upside down) the second fraction.
Calculate `frac(1)(8)` ÷ `frac(2)(3)`.
`frac(1)(8) ÷ frac(2)(3)`
` = frac(1)(8) xx frac(3)(2)`
` = frac(3)(16)`
Answer: `frac(3)(16)`
Two-fifths of a cake has to be split 4 ways. What fraction of the cake does each person receive?
`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)`
Answer: `frac(1)(10)`