Question : The value of $3 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}+\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)$ is:
Option 1: $\frac{55}{24}$
Option 2: $\frac{35}{24}$
Option 3: $\frac{25}{24}$
Option 4: $\frac{5}{24}$
Correct Answer: $\frac{35}{24}$
Solution :
$3 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}+\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)$
$=\frac{10}{3} \div \frac{5}{2}$ of $ \frac{8}{5}+\left(\frac{3}{8}+\frac{1}{7} \times \frac{7}{4}\right)$
$=\frac{10}{3} \div 4+\frac{5}{8}$
$=\frac{10}{3} \times \frac{1}{4}+\frac{5}{8}$
$=\frac{5}{6}+\frac{5}{8}$
$=\frac{35}{24}$
Hence, the correct answer is $\frac{35}{24}$.
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