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
\(\frac{6}{7}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{2}{3}\) = \(\frac{2}{3}\)
= \(\frac{2}{3}\) x \(\frac{6}{5}\)
= \(\frac{4}{5}\)
reciprocal of \(\frac{4}{5}\) = \(\frac{1}{\frac{4}{5}}\)
= \(\frac{5}{4}\)
Source: Myschool Past Questions Archive (Record #32013)