JAMB 2012 · UTME · Q3

Simplify $\dfrac{2\frac23 \times 1\frac12}{4\frac45}$ .

Worked solution (try it first)

Change the mixed numbers to improper fractions: $2\frac23 = \frac83$ , $1\frac12 = \frac32$ and $4\frac45 = \frac{24}{5}$ .
Top: $\frac83 \times \frac32 = 4$ .
Divide by flipping: $4 \times \frac{5}{24} = \frac{20}{24}$
$= \frac56$ , option C.