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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