Question 53

Simplify the following expression:
$$\frac{7}{12} \div \frac{1}{10}  \text{of}   \frac{2}{3} - \frac{5}{3} \times \frac{9}{10} + \frac{5}{8} \div \frac{3}{4}  \text{of}   \frac{2}{3}$$

Solution

$$\frac{7}{12}\div\frac{1}{10}  \text{of}  \frac{2}{3}-\frac{5}{3}\times\frac{9}{10}+\frac{5}{8}\div\frac{3}{4}  \text{of}  \frac{2}{3}$$

= $$\frac{7}{12}\div\frac{1}{15}-\frac{5}{3}\times\frac{9}{10}+\frac{5}{8}\div\frac{1}{2}$$

= $$\frac{7}{12}\times\frac{15}{1}-\frac{5}{3}\times\frac{9}{10}+\frac{5}{8}\times\frac{2}{1}$$

= $$\frac{35}{4}-\frac{3}{2}+\frac{5}{4}$$

= $$\frac{35-6+5}{4}$$

= $$\frac{34}{4}$$

= $$\frac{17}{2}$$

= $$8\frac{1}{2}$$

Hence, the correct answer is Option A


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