Question
Simplify: $\left(\frac{5 \mathrm{k}}{8}-\frac{3 \mathrm{k}}{5}\right) \div \frac{\mathrm{k}}{4}$

Answer


$\begin{aligned} & \left(\frac{5 \mathrm{k}}{8}-\frac{3 \mathrm{k}}{5}\right) \div \frac{\mathrm{k}}{4} \\ & =\frac{25 \mathrm{k}-24 \mathrm{k}}{40} \div \frac{\mathrm{k}}{4} \\ & =\frac{\mathrm{k}}{40} \div \frac{\mathrm{k}}{4} \\ & =\frac{\mathrm{k}}{40} \times \frac{4}{\mathrm{k}}=\frac{1}{10}\end{aligned}$

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