Question
Divide: $\frac{3}{10}$ by $\big(\frac{1}{4}\ \text{of}\ \frac{3}{5}\big)$

Answer

Given, $\frac{3}{10}+\big(\frac{1}{4}\ \text{of}\ \frac{3}{5}\big)=\frac{3}{10}+\big(\frac{1}{4}\times\frac{3}{5}\big)$ $=\frac{3}{10}+\big(\frac{3}{10}\big)$ $=\frac{3}{10}\times\frac{20}{3}$ $\big[\because\text{reciprocal of}\ \frac{3}{20}=\frac{20}{3}\big]$ $=2$

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