Question

Simplify: ${\displaystyle (\frac{\text{5k}}{8}-\frac{\text{3k}}{5})÷\frac{\text{k}}{4}}$

Answer 1

${\displaystyle (\frac{\text{5k}}{8}-\frac{\text{3k}}{5})÷\frac{\text{k}}{4}}$

${\displaystyle =\frac{\text{25k}-\text{24k}}{40}÷\frac{\text{k}}{4}}$

${\displaystyle =\frac{\text{k}}{40}÷\frac{\text{k}}{4}}$

${\displaystyle =\frac{\text{k}}{40}\times \frac{4}{\text{k}}=\frac{1}{10}}$