Question 63
If '+' means '-', '-' means '+', '$$\times$$' means '$$\div$$', and '$$\div$$' means '$$\times$$', then the value of $$\frac{42 - 12 \times 3 + 8 \div 2 + 15}{8 \times 2 - 4 + 9 \div 3}$$ is:
Solution
$$\frac{42 - 12 \times 3 + 8 \div 2 + 15}{8 \times 2 - 4 + 9 \div 3}$$
On changing the sign,
$$\frac{42 + 12 \div 3 - 8 \times 2 - 15}{8 \div 2 + 4 - 9 \times 3}$$
= $$\frac{42 + 4 - 8 \times 2 - 15}{4 + 4 - 9 \times 3}$$
= $$\frac{42 + 4 - 16 - 15}{4 + 4 - 27}$$
= $$\frac{15}{19}$$
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