Question : What is the simplified value of:
$7 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}-\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)-\frac{5}{24}$
Option 1: $1$
Option 2: $2$
Option 3: $\frac{1}{24}$
Option 4: $\frac{1}{12}$
Correct Answer: $1$
Solution :
$7 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}-\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)-\frac{5}{24}$
$= \frac{22}{3} \div \frac{5}{2}\times \frac{8}{5}-\left(\frac{3}{8}+\frac{1}{7} \times \frac{7}{4}\right)-\frac{5}{24}$
$= \frac{22}{3} \div 4-\left(\frac{3}{8}+\frac{1}{4} \right)-\frac{5}{24}$
$= \frac{22}{12}-\left(\frac{5}{8} \right)-\frac{5}{24}$
$= \frac{44-15-5}{24}$
$= \frac{24}{24}$
$=1$
Hence, the correct answer is $1$.
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