subtract.\n-\\frac{9a + 5b}{8a}-\\frac{4a - 3b}{8a}\nsimplify your answer as much as possible.

Explanation:

Step1: Combine the numerators

Since the denominators are the same ($8a$), we can combine the numerators: $$-\frac{9a + 5b-(4a - 3b)}{8a}$$

Step2: Distribute the negative sign in the numerator

$$-\frac{9a+5b - 4a + 3b}{8a}$$

Step3: Combine like - terms in the numerator

For the $a$ terms: $9a-4a = 5a$. For the $b$ terms: $5b + 3b=8b$. So we have $$-\frac{5a + 8b}{8a}=-\frac{5a}{8a}-\frac{8b}{8a}$$ Simplify each fraction: $-\frac{5a}{8a}=-\frac{5}{8}$ (when $a\neq0$) and $-\frac{8b}{8a}=-\frac{b}{a}$ (when $a\neq0$)

Answer:

$-\frac{5}{8}-\frac{b}{a}$ (where $a\neq0$)