Question

How do you combine `(5m+8)/(m-1) - (m-3)/(m-1)`?

Answer 1

`(4m + 11)/(m-1)`

Here's how I did it:

Explanation:

To add/subtract fractions, the denominator of every expression has to be the same. In this problem, both denominators are the same, so we can just worry about the numerators now.

Let's combine the numerators:
`(5m + 8 - (m-3))/(m-1)`

Now distribute the negative sign:
`(5m + 8 - m + 3)/(m-1)`

Simplify:
`(4m + 11)/(m-1)`

Hope this helps!