Question : The value of $15 \div 8-\frac{5}{4}$ of $\left(\frac{8}{3} \times \frac{9}{16}\right)+\left(\frac{9}{8} \times \frac{3}{4}\right)-\left(\frac{5}{32} \div \frac{5}{7}\right)+\frac{3}{8}$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 1
Solution :
Given: $15 \div 8-\frac{5}{4}$ of $\left(\frac{8}{3} \times \frac{9}{16}\right)+\left(\frac{9}{8} \times \frac{3}{4}\right)-\left(\frac{5}{32} \div \frac{5}{7}\right)+\frac{3}{8}$
$=\frac{15}{8}-\frac{5}{4}\text{of}\frac{3}{2} +\frac{27}{32}-\frac{7}{32}+\frac{3}{8}$
$=\frac{15}{8}-\frac{15}{8} +\frac{27}{32}-\frac{7}{32}+\frac{3}{8}$
$=\frac{27}{32}-\frac{7}{32}+\frac{3}{8}$
$=\frac{27-7+12}{32}$
$=\frac{32}{32}$
$=1$
Hence, the correct answer is 1.
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