Question : Simplify the following.
$9 \times 2 \div 3\ \text{of} \ 24 - 3 \div 2 \times (6 - 7) \times 2 + 3 \div 3\ \text{of}\ 5$
Option 1: 3
Option 2: $\frac{9}{20}$
Option 3: 4
Option 4: $\frac{69}{20}$
Correct Answer: $\frac{69}{20}$
Solution :
$9 \times 2 \div 3\ \text{of} \ 24- 3 \div 2 \times (6 - 7) \times 2 + 3 \div 3\ \text{of}\ 5$
$=9 \times 2 \div 3\ \text{of} \ 24 - 3 \div 2 \times- 1 \times 2 + 3 \div 3\ \text{of}\ 5$
$=9 \times 2 \div 72 - 3 \div 2 \times -1 \times 2 + 3 \div 15$
$=9 \times \frac{1}{36} – \frac{3}{2} \times– 1 \times 2 + \frac{1}{5}$
$=\frac{1}{4} +3 + \frac{1}{5}$
$=\frac{5+60+4}{20}$
$=\frac{69}{20}$
Hence, the correct answer is $\frac{69}{20}$.
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