Question 52

Simplify: $$(\frac{5}{8} + \frac{3}{4})$$ of $$\frac{4}{11} \div \frac{3}{16} - \frac{1}{2} \times \frac{3}{4}$$ = ?

Solution

$$(\frac{5}{8} + \frac{3}{4})$$ of $$\frac{4}{11} \div \frac{3}{16} - \frac{1}{2} \times \frac{3}{4}$$

Using BODMAS rule,

$$(\frac{5+6}{8}) \times \frac{4}{11}\times \frac{16}{3} - \frac{3}{8} $$

$$=\frac{1}{2}\times \frac{16}{3} - \frac{3}{8} $$

$$=\frac{8}{3} - \frac{3}{8} $$

$$=\frac{64-9}{24} $$

$$=2\frac{7}{24}$$

Option C is correct.

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