Question : What is the value of $x$?
$\frac{3}{2}× \frac{7}{3} ÷ \frac{7}{6}+\frac{1}{4}=\frac{1}{x}$
Option 1: $\frac{7}{12}$
Option 2: $\frac{4}{13}$
Option 3: $\frac{13}{4}$
Option 4: $\frac{6}{7}$
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Correct Answer: $\frac{4}{13}$
Solution :
$\frac{3}{2} \times \frac{7}{3} ÷ \frac{7}{6} + \frac{1}{4} = \frac{1}{x}$
$⇒\frac{3}{2} \times2 + \frac{1}{4} =\frac{1}{x}$
$⇒ 3 + \frac{1}{4} =\frac{1}{x}$
$⇒ \frac{13}{4}=\frac{1}{x}$
$\therefore x = \frac{4}{13}$
Hence, the correct answer is $ \frac{4}{13}$.
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