Add.
-$$\frac { 5 } { x + 5 } + \frac { 3 } { x }$$
A) $\frac { 5 x + 15 } { x ( x + 5 ) }$
B) $\frac { 8 x + 15 } { ( x + 5 ) }$
C) $\frac { 8 x + 15 } { x ( x + 5 ) }$
D) $\frac { 8 x + 15 } { x }$

Question

Quizplus · Accepted Answer

To add the fractions, we need a common denominator, which is the product of the two denominators: $x(x+5)$. Then, we can rewrite the fractions:
$$\frac{5}{x+5} + \frac{3}{x} = \frac{5}{x+5} \cdot \frac{x}{x} + \frac{3}{x} \cdot \frac{x+5}{x+5}$$
Simplifying the fractions, we get:
$$\frac{5x}{x(x+5)} + \frac{3(x+5)}{x(x+5)} = \frac{5x+3(x+5)}{x(x+5)} = \frac{8x+15}{x(x+5)}$$
Therefore, the correct choice is C.

Add - 5x+5+3x\frac { 5 } { x + 5 } + \frac { 3 } { x }x+55​+x3​

Add
- $\frac { 5 } { x + 5 } + \frac { 3 } { x }$