Question : The value of $2 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}+\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)$ is:
Option 1: $\frac{25}{24}$
Option 2: $\frac{29}{24}$
Option 3: $\frac{35}{24}$
Option 4: $\frac{5}{24}$
Correct Answer: $\frac{29}{24}$
Solution :
Given: $2 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}+\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)$
= $\frac{7}{3} \div \frac{5}{2}$ of $\frac{8}{5}+\left(\frac{3}{8}+\frac{1}{7} \times \frac{7}{4}\right)$
= $\frac{7}{3} \div (\frac{5}{2}\times\frac{8}{5})+\frac{5}{8}$
= $\frac{7}{3}\times\frac{1}{4}+\frac{5}{8}$
= $\frac{7}{12}+\frac{5}{8}$
= $\frac{14+15}{24}$
= $\frac{29}{24}$
Hence, the correct answer is $\frac{29}{24}$.
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