Question 67

Simplify the following expression:
$$3\times8\div9  \text{of}  6-2\div3\times(5-2)\times2+18\div3  \text{of}  3$$

Solution

$$3\times8\div9  \text{of}  6-2\div3\times(5-2)\times2+18\div3  \text{of}  3$$

= $$3\times8\div54-2\div3\times3\times2+18\div9$$

= $$3\times\frac{8}{54}-\frac{2}{3}\times3\times2+\frac{18}{9}$$

= $$\frac{4}{9}-4+2$$

= $$\frac{4-36+18}{9}$$

= $$\frac{-14}{9}$$

= $$-1\frac{5}{9}$$

Hence, the correct answer is Option A


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