Simplify: $\frac{8}{15}-\frac{4}{25}$

Step 1 ：The problem is asking to subtract two fractions: \(\frac{8}{15}\) and \(\frac{4}{25}\).

Step 2 ：To subtract fractions, we need to have a common denominator. The common denominator of 15 and 25 is 75.

Step 3 ：We convert both fractions to have this common denominator. The first fraction \(\frac{8}{15}\) becomes \(\frac{40}{75}\) and the second fraction \(\frac{4}{25}\) becomes \(\frac{12}{75}\).

Step 4 ：We then subtract the two fractions: \(\frac{40}{75} - \frac{12}{75} = \frac{28}{75}\).

Step 5 ：We simplify the result to get the final answer: \(\boxed{\frac{4}{15}}\).