[tex]\displaystyle \\
\frac{20}{5} + \frac{20}{3} +\frac{20}{2} = \\ \\
=\frac{20\times 6}{5\times 3 \times 2} + \frac{20\times 10}{5\times 3 \times 2} +\frac{20\times 15}{5\times 3 \times 2} = \\ \\
=\frac{120 + 200 +300}{30} =\frac{620}{30} =\boxed{\frac{62}{3} }[/tex]