Question 61

What is the value of $$\frac{2 \div 3 \times (1 + 3) + 5 - 6}{2 of 3 \div 5 \times 4 + 3 - 2}$$?

Solution

$$\frac{2 \div 3 \times (1 + 3) + 5 - 6}{2 of 3 \div 5 \times 4 + 3 - 2}$$

$$\frac{\frac{2}{3}\times4 + 5 - 6}{2\times\frac{3}{5}\times 4 + 3 - 2}$$

$$\frac{\frac{8}{3} + 5 - 6}{\frac{24}{5} + 3 - 2}$$

$$\frac{\frac{8 + 15 - 18}{3}}{\frac{24 + 15 - 10}{5}}$$

$$\frac{8 + 15 - 18}{3}\times\frac{5}{24 + 15 - 10}$$

$$\frac{5}{3}\times\frac{5}{29}$$

$$\frac{25}{87}$$

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