Question : The value of $3 \frac{1}{5} \div 4 \frac{1}{2}$ of $5 \frac{1}{3}+\frac{1}{8} \div \frac{1}{2}$ of $\frac{1}{4}-\frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$ is:
Option 1: $\frac{13}{15}$
Option 2: $\frac{7}{8}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{53}{60}$
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Correct Answer: $\frac{53}{60}$
Solution :
$3 \frac{1}{5} \div 4 \frac{1}{2}$ of $5 \frac{1}{3}+\frac{1}{8} \div \frac{1}{2}$ of $\frac{1}{4}-\frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$
= $\frac{16}{5} \div \frac{9}{2}$ of $ \frac{16}{3}+\frac{1}{8}\div \frac{1}{8} -\frac{1}{4} (4×\frac{1}{4})$
= $\frac{16}{5} \div 24 + 1 - \frac{1}{4}$
= $\frac{16}{5} × \frac{1}{24}+ \frac{3}{4}$
= $\frac{2}{15} + \frac{3}{4}$
= $\frac{53}{60}$
Hence, the correct answer is $\frac{53}{60}$.
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