JAMB - Mathematics (1986 - No. 5)
Find the reciprocal of \(\frac{\frac{2}{3}}{\frac{1}{2} + \frac{1}{3}}\)
\(\frac{4}{5}\)
\(\frac{5}{4}\)
\(\frac{2}{5}\)
\(\frac{6}{7}\)
Explicació
\(\frac{2}{3}\) = \(\frac{2}{3}\)
= \(\frac{2}{3}\) x \(\frac{6}{5}\)
= \(\frac{4}{5}\)
reciprocal of \(\frac{4}{5}\) = \(\frac{1}{\frac{4}{5}}\)
= \(\frac{5}{4}\)
= \(\frac{2}{3}\) x \(\frac{6}{5}\)
= \(\frac{4}{5}\)
reciprocal of \(\frac{4}{5}\) = \(\frac{1}{\frac{4}{5}}\)
= \(\frac{5}{4}\)