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Find the reciprocal of \(\frac{\frac{2}{3}}{\frac{1}{2} + \frac{1}{3}}\)

Mathematics
JAMB 1986

Find the reciprocal of \(\frac{\frac{2}{3}}{\frac{1}{2} + \frac{1}{3}}\)

  • A. \(\frac{4}{5}\)
  • B. \(\frac{5}{4}\)
  • C. \(\frac{2}{5}\)
  • D. \(\frac{6}{7}\)
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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 \(\frac{4}{5}\) = \(\frac{1}{\frac{4}{5}}\)

= \(\frac{5}{4}\)


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