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

Question

Julia Adams · Accepted Answer

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

Here's how I did it:

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!

Isaiah Anthony · Answer

undefined To combine the given expression, (5m+8)/(m-1) - (m-3)/(m-1), we need to find a common denominator for both fractions. In this case, the common denominator is (m-1).

Next, we can rewrite the expression with the common denominator:

[(5m+8) - (m-3)] / (m-1)

Simplifying the numerator:

(5m+8 - m + 3) / (m-1)

Combining like terms:

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

Therefore, the combined expression is (4m + 11) / (m-1).

Ethan Adkins · Answer

undefined To combine $\frac{5m+8}{m-1} - \frac{m-3}{m-1}$, you first need to find a common denominator, which is $(m-1)$. Then, you can combine the fractions:

$$\frac{(5m+8) - (m-3)}{m-1}$$

Simplify the numerator:

$$5m + 8 - m + 3$$

Combine like terms:

$$5m - m + 8 + 3$$

$$4m + 11$$

So, the combined expression is $\frac{4m + 11}{m - 1}$.