Find the reciprocal of \(\frac{\frac{2}{3}}{\frac{1}{2} + \frac{1}{3}}\)
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Correct Answer: Option B
Explanation:
\(\frac{2}{3}\) = \(\frac{2}{3}\)
= \(\frac{2}{3}\) x \(\frac{6}{5}\)
= \(\frac{4}{5}\)
reciprocal of \(\frac{4}{5}\) = \(\frac{1}{\frac{4}{5}}\)
= \(\frac{5}{4}\)
\(\frac{2}{3}\) = \(\frac{2}{3}\)
= \(\frac{2}{3}\) x \(\frac{6}{5}\)
= \(\frac{4}{5}\)
reciprocal of \(\frac{4}{5}\) = \(\frac{1}{\frac{4}{5}}\)
= \(\frac{5}{4}\)