Simplify: $\frac { 11 } { r } + \frac { 9 } { 19 r }$
A) $\frac { 182 } { 19 r }$
B) $\frac { 200 } { 19 r }$
C) $\frac { 218 } { 19 r }$
D) $\frac { 109 } { 10 r }$
E) $\frac { 218 } { 19 r ^ { 2 } }$

Question

Quizplus · Accepted Answer

To add fractions, we need a common denominator. In this case, the common denominator is $19r$. So, we need to rewrite the fractions with this denominator: $$\frac{11}{r}\cdot\frac{19}{19}=\frac{209}{19r}$$ $$\frac{9}{19r}\cdot\frac{r}{r}=\frac{9r}{19r}$$ Now we can add: $$\frac{209}{19r}+\frac{9r}{19r}=\frac{209+9r}{19r}=\frac{218}{19r}$$ So the answer is $\boxed{	extbf{(C)}}$.

Simplify 11r+919r\frac { 11 } { r } + \frac { 9 } { 19 r }r11​+19r9​

Simplify $\frac { 11 } { r } + \frac { 9 } { 19 r }$