The expression you provided is:

\[
\frac{5a}{a-5} + \frac{5}{a-5} - \frac{4a}{a-5}
\]

Since all the terms have the same denominator \((a-5)\), you can combine them into a single fraction:

\[
\frac{5a + 5 - 4a}{a-5}
\]

Now, simplify the numerator:

\[
5a + 5 - 4a = a + 5
\]

So the expression becomes:

\[
\frac{a + 5}{a-5}
\]

Therefore, the simplified expression is:

\[
\frac{5a}{a-5} + \frac{5}{a-5} - \frac{4a}{a-5} = \frac{a + 5}{a-5}
\]

Would you like more details on this, or do you have any other questions?

Here are 5 related questions you might find interesting:

1. How would you simplify \(\frac{3a}{a-2} + \frac{6}{a-2} - \frac{2a}{a-2}\)?
2. Can you solve the equation \(\frac{2x}{x-3} + \frac{3}{x-3} - \frac{x}{x-3} = 1\)?
3. What is the derivative of \(\frac{a + 5}{a-5}\)?
4. How does the expression \(\frac{a + 5}{a-5}\) change as \(a\) approaches 5?
5. What would the expression look like if \(a = 10\)?

**Tip:** When simplifying expressions, always look for like terms in the numerator before combining fractions.

Learn how to simplify the fractional expression (5a/(a-5)) + (5/(a-5)) - (4a/(a-5)). This problem involves combining fractions with a common denominator and simplifying the resulting expression. Suitable for high school students.

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