Question

How many times 1 1/8 contained in 36

Answer 1

namely, how many times 1⅛ go into 36, is namely their quotient, let's firstly convert the mixed fraction to improper.

`\bf \stackrel{mixed}{1(1)/(8)}\implies \cfrac{1\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{9}{8}} \\\\[-0.35em] ~\dotfill\\\\ 36/ \cfrac{9}{8}\implies \cfrac{36}{1}/ \cfrac{9}{8}\implies \cfrac{36}{1}\cdot \cfrac{8}{9}\implies \cfrac{36}{9}\cdot \cfrac{8}{1}\implies 4\cdot 8\implies 32`