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Question
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[\left( \frac{3}{5} \right)^{- 1} \times \left( \frac{5}{2} \right)^{- 1}\]
Sum
Solution
\[\left( \frac{3}{5} \right)^{- 1} \times \left( \frac{5}{2} \right)^{- 1}\] `= 1/(3/5)xx1/(5/2)` → (a−1 = 1/a)
\[= \frac{5}{3} \times \frac{2}{5}\]
\[= \frac{2}{3}\]
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