The problem asks to find the value of the expression $\frac{5}{8} - \frac{3}{5}$.

1. Problem Description

The problem asks to find the value of the expression $\frac{5}{8} - \frac{3}{5}$.

2. Solution Steps

To subtract two fractions, we need to find a common denominator. The least common multiple of 8 and 5 is

4

0. We rewrite both fractions with the common denominator

4

0.

$\frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}$

$\frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40}$

Now, we can subtract the two fractions:

$\frac{5}{8} - \frac{3}{5} = \frac{25}{40} - \frac{24}{40} = \frac{25 - 24}{40} = \frac{1}{40}$

3. Final Answer

The value of the expression is $\frac{1}{40}$.