Question : The value of $\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$ is:
Option 1: $\frac{2}{15}$
Option 2: $\frac{6}{7}$
Option 3: $\frac{5}{8}$
Option 4: $\frac{4}{5}$
Correct Answer: $\frac{2}{15}$
Solution :
Given:
$\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$
= $[\frac{18}{4}÷\frac{6}{5}\text{of}(\frac{15}{8})]×\frac{1}{15}$
= $[\frac{18}{4}×\frac{5}{6}×(\frac{8}{15})]×\frac{1}{15}$
= $\frac{2}{15}$
Hence, the correct answer is $\frac{2}{15}$.
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