Final answer:
To perform the indicated operation, simplify the expression by finding a common denominator, combining the fractions, and combining like terms.
Step-by-step explanation:
To perform the indicated operation, we need to simplify the expression.
We have:
(a - b) / (8a) - (6b) / (8a)
First, let's find a common denominator for the fractions, which is 8a. We'll then rewrite the expression:
(a - b)/(8a) - (6b)/(8a)
Next, we'll combine the two fractions by subtracting their numerators:
((a - b) - (6b))/(8a)
Simplifying further:
(a - b - 6b)/(8a)
Now, we'll combine like terms:
(a - 7b)/(8a)
So, the simplified expression is (a - 7b)/(8a).