Add. Simplify, if possible.
-$\frac { 2 } { 15 x } + \frac { 4 } { 21 x ^ { 2 } }$
A) $\frac { 48 } { 105 x ^ { 2 } }$
B) $\frac { 2 ( 7 x + 10 ) } { 105 x ^ { 2 } }$
C) $\frac { 6 } { 15 x + 21 x ^ { 2 } }$
D) $\frac { 6 } { 315 x ^ { 2 } }$

Question

Quizplus · Accepted Answer

To add the fractions, find a common denominator, which is $105x^2$ (the least common multiple of $15x$ and $21x^2$). Convert each fraction to have this common denominator: $\frac{2}{15x} = \frac{2 \cdot 7x}{15x \cdot 7x} = \frac{14x}{105x^2}$ and $\frac{4}{21x^2} = \frac{4 \cdot 5}{21x^2 \cdot 5} = \frac{20}{105x^2}$. Adding these gives $\frac{14x + 20}{105x^2} = \frac{2(7x + 10)}{105x^2}$.

Add Simplify, If Possible 215x+421x2\frac { 2 } { 15 x } + \frac { 4 } { 21 x ^ { 2 } }15x2​+21x24​

Add Simplify, If Possible $\frac { 2 } { 15 x } + \frac { 4 } { 21 x ^ { 2 } }$