Which of the following rational numbers lies between $\frac{3}{5}$ and $\frac{2}{3}$?

Explanation

1. 01

   As decimals, $\frac{3}{5} = 0.6$ and $\frac{2}{3} \approx 0.667$.

2. 02

   $\frac{1}{2} = 0.5$ and $\frac{4}{7} \approx 0.571$ are too small; $\frac{7}{10} = 0.7$ is too large.

3. 03

   $\frac{13}{20} = 0.65$ lies between 0.6 and 0.667.