Perform the indicated operation, and express your answer in reduced form. $\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }$
A) $\frac { 4 + 15 x ^ { 2 } } { 3 x ^ { 3 } }$
B) $\frac { 5 + 4 x ^ { 2 } } { 15 x ^ { 3 } }$
C) $\frac { 4 + 5 x } { 3 x ^ { 3 } }$
D) $\frac { 5 + 15 x ^ { 2 } } { 3 x ^ { 3 } }$
E) $\frac { 3 + 15 x } { 4 x ^ { 3 } }$

Question

Quizplus · Accepted Answer

To add the fractions, they need a common denominator, which is $3x^3$. The second fraction becomes $\frac{5x^2}{3x^3}$ when given the common denominator, leading to $\frac{4+15x^2}{3x^3}$.

Perform the Indicated Operation, and Express Your Answer in Reduced 43x3+5x\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }3x34​+x5​

Perform the Indicated Operation, and Express Your Answer in Reduced $\frac { 4 } { 3 x ^ { 3 } } + \frac { 5 } { x }$