Question : What is the value of $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$?
Option 1: $4$
Option 2: $\frac{13}{4}$
Option 3: $\frac{15}{4}$
Option 4: $\frac{9}{2}$
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Correct Answer: $\frac{15}{4}$
Solution :
$\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$
= $\frac{7 \times 0.5}{5 \times 0.2}+\frac{5 \times 0.5}{8 \times 0.25}-\frac{7 \times 2}{8 \times 1.75}$
= $\frac{3.5}{1}+\frac{2.5}{2}-\frac{14}{14}$
= $\frac{7}{2}+\frac{5}{4}-1$
= $\frac{14+5-4}{4}$
= $\frac{15}{4}$
Hence, the correct answer is $\frac{15}{4}$.
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