What is the reciprocal of the fraction \(\frac{3/5}{2/3}\)?
Answer: B
First, simplify the given fraction.
\(\frac{3/5}{2/3} = \frac{3}{5} \times \frac{3}{2} = \frac{9}{10}\).
The reciprocal of a number is 1 divided by that number. The reciprocal of a fraction is found by inverting it.
The reciprocal of \(\frac{9}{10}\) is \(\frac{10}{9}\).