Question

Caculate.

2 1/4÷(3/8÷1/2)

Answer 1

let's firstly convert the mixed fraction to improper fraction and proceed from there.

`\stackrel{mixed}{2(1)/(4)}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}/ \left(\cfrac{3}{8}/ \cfrac{1}{2} \right)\implies \cfrac{9}{4}/ \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}/ \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}`