Question 55

Simplify: $$8 \div[(9 - 5) \div {(7 - 2) \div(3 + 9 \div 24)}]$$

Solution

$$8\div[(9-5)\div(7-2)\div(3+9\div24)]$$

$$=8\div[(9-5)\div(7-2)\div(3+\frac{3}{8})]$$

$$=8\div[(9-5)\div(7-2)\div\frac{27}{8}]$$

$$=8\div[(9-5)\div5\div\frac{27}{8}]$$

$$=8\div[4\div\frac{40}{27}]$$

$$=8\div\frac{27}{10}$$

$$=\frac{80}{27}.$$

A is correct choice.

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