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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: $\frac{5}{24}$


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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