Perform the indicated operation and express your answer in simplest form. $\frac { 5 x } { x ^ { 2 } + 8 x } + \frac { 6 } { x }$
A) $\frac { x + 48 } { x + 8 }$
B) $\frac { 5 x + 48 } { x ( x + 8 ) }$
C) $\frac { 11 x + 48 } { x + 8 }$
D) $\frac { 11 x + 48 } { x + 2 }$
E) $\frac { 11 x + 48 } { x ( x + 8 ) }$

Question

Quizplus · Accepted Answer

To add fractions with different denominators, we need to first find a common denominator. In this case, the common denominator is x(x+8). So, we need to rewrite the given fractions with the common denominator.

$\frac { 5x } { x ^ { 2 } + 8x } + \frac { 6 } { x } = \frac{5x}{x(x+8)}+\frac{6(x+8)}{x(x+8)}$

Now, we can add these fractions by adding the numerators and keeping the common denominator:

$\frac{5x + 6x+48}{x(x+8)}=\frac{11x+48}{x(x+8)}$

So, the correct choice is E.

Perform the Indicated Operation and Express Your Answer in Simplest 5xx2+8x+6x\frac { 5 x } { x ^ { 2 } + 8 x } + \frac { 6 } { x }x2+8x5x​+x6​

Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 5 x } { x ^ { 2 } + 8 x } + \frac { 6 } { x }$