Add. Simplify, if possible.
-$$\frac { 4 } { 5 - m } + \frac { 6 } { m - 5 }$$
A) $\frac { 24 } { 5 - m }$
B) $\frac { 10 } { 5 - m }$
C) $\frac { - 2 } { 5 - m }$
D) $\frac { 2 } { 5 - m }$

Question

Quizplus · Accepted Answer

The denominators $5 - m$ and $m - 5$ are opposites, so $m - 5 = -(5 - m)$. To add the fractions, we need a common denominator, which we already have in a sense. We can rewrite $\frac{6}{m - 5}$ as $\frac{-6}{5 - m}$ to have matching denominators. Then, $\frac{4}{5 - m} + \frac{-6}{5 - m} = \frac{4 - 6}{5 - m} = \frac{-2}{5 - m}$.

Add Simplify, If Possible 45−m+6m−5\frac { 4 } { 5 - m } + \frac { 6 } { m - 5 }5−m4​+m−56​

Add Simplify, If Possible $\frac { 4 } { 5 - m } + \frac { 6 } { m - 5 }$