Question 66

Simplify the following expression:
$$7 \times 4 \div 21  \text{of}   4 - 5 \div 4 \times (9 - 13) + 2 - 2 \div 8$$

Solution

$$7 \times 4 \div 21  \text{of}  4 - 5 \div 4 \times (9 - 13) + 2 - 2 \div 8$$

= $$7 \times 4 \div 84 - 5 \div 4 \times (-4) + 2 - 2 \div 8$$

= $$7\times\frac{4}{84}-\frac{5}{4}\times(-4)+2-\frac{2}{8}$$

= $$\frac{1}{3}+5+2-\frac{1}{4}$$

= $$7+\frac{4-3}{12}$$

= $$7\frac{1}{12}$$

Hence, the correct answer is Option A


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