Question

Add -(7a-12b)/(6a) + (2a-6b)/(6a)

Answer 1

To add the rational expressions -(7a-12b)/(6a) + (2a-6b)/(6a), combine their numerators over the common denominator to get (-5a + 6b)/(6a).

Step-by-step explanation:

The student's question revolves around the addition of two rational expressions with the same denominator. To solve this problem, you need to combine the numerators of these expressions while keeping the common denominator.

Here's a step-by-step solution:

1. First, we write both fractions with the same denominator: -(7a-12b)/(6a) and (2a-6b)/(6a).
2. Then, we combine the numerators: -7a + 12b + 2a - 6b.
3. Now, combine like terms: -5a + 6b.
4. Finally, place the combined terms over the common denominator: (-5a + 6b)/(6a).

This simplifies the original problem to (-5a + 6b)/(6a), which is the sum of the two given fractions.