Add. Simplify, if possible.
-$$\frac { 7 } { r } + \frac { 9 } { r - 5 }$$
A) $\frac { 16 r - 35 } { r ( r - 5 ) }$
B) $\frac { 16 r - 35 } { r ( 5 - r ) }$
C) $\frac { 35 r - 16 } { r ( r - 5 ) }$
D) $\frac { 35 r - 16 } { r ( 5 - r ) }$

Question

Quizplus · Accepted Answer

To add the fractions $\frac{7}{r} + \frac{9}{r-5}$, find a common denominator, which is $r(r-5)$. The result is $\frac{7(r-5) + 9r}{r(r-5)} = \frac{7r - 35 + 9r}{r(r-5)} = \frac{16r - 35}{r(r-5)}$.

Add Simplify, If Possible 7r+9r−5\frac { 7 } { r } + \frac { 9 } { r - 5 }r7​+r−59​

Add Simplify, If Possible $\frac { 7 } { r } + \frac { 9 } { r - 5 }$