Question 54

What is the value of
$$7 \div 2 - [3  of  7 \div 4 \div \left\{(2 \div 5) \times (25 \div 8) \div (5 \div 2)\right\}]$$?

Solution

$$7 \div 2 - [3  of  7 \div 4 \div \left\{(2 \div 5) \times (25 \div 8) \div (5 \div 2)\right\}]$$

$$7 \div 2 - [3  of  7 \div 4 \div \left\{\frac{2}{5} \times \frac{25}{8} \times \frac{2}{5}\right\}]$$

$$\frac{7}{2} - [3\times\frac{7}{4}\times\frac{2}{1}]$$

$$\frac{7}{2} - \frac{21}{2}$$

$$\frac{-14}{2}$$ = $$-7$$


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