Question

A water faucet leaked 2 and 3/5 liters of water every 2/4 of an hour. It leaked at a rate of how many liters per hour?

Answer 1

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

`\stackrel{mixed}{2(3)/(5)}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill`

`\begin{array}{ccll} liters&hours\\ \cline{1-2} (13)/(5)&(2)/(4)\\[1em] x&1 \end{array}\implies \cfrac{~~(13)/(5) ~~}{x}~~ = ~~\cfrac{~~(2)/(4) ~~}{1}\implies \cfrac{~~(13)/(5) ~~}{(x)/(1)}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5(1)/(5)=x`