Question : What is the value of $\frac{8 \times 5 \div 25}{7 \div 14 \times 2}-\frac{14 \div 7-5}{7 \div 14-25} ?$
Option 1: $\frac{362}{245}$
Option 2: $\frac{115}{245}$
Option 3: $\frac{306}{245}$
Option 4: $\frac{106}{245}$
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Correct Answer: $\frac{362}{245}$
Solution :
$\frac{8 \times 5 \div 25}{7 \div 14 \times 2}-\frac{14 \div 7-5}{7 \div 14-25} $
$=\frac{\frac{8}{5}}{1}-\frac{2-5}{\frac{1}{2}-25} $
$=\frac{8}{5}-\frac{-3}{-\frac{49}{2}} $
$=\frac{8}{5}-\frac{6}{49}$
$=\frac{392-30}{245}$
$=\frac{362}{245}$
Hence, the correct answer is $\frac{362}{245}$.
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