Challenge Level

Here is a set of six fractions: $$\frac{1}{6} \quad \frac{1}{25} \quad \frac{3}{5} \quad \frac{3}{20} \quad \frac{4}{15} \quad \frac{5}{8} $$

Choose some of the fractions and add them together. You can use as many fractions as you like, but you can only use each fraction once.

**Can you get an answer that is close to 1?
What is the closest to 1 that you can get?**