Solve 6/50p^5q^4+1/10q^6

$$\frac { 6 } { 50 p ^ { 5 } q ^ { 4 } } + \frac { 1 } { 10 q ^ { 6 } }$$

Evaluate

$$\frac{1}{10q^{6}}+\frac{3}{25q^{4}p^{5}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 50p^{5}q^{4} and 10q^{6} is 50p^{5}q^{6}. Multiply \frac{6}{50p^{5}q^{4}} times \frac{q^{2}}{q^{2}}. Multiply \frac{1}{10q^{6}} times \frac{5p^{5}}{5p^{5}}.

$$\frac{6q^{2}}{50p^{5}q^{6}}+\frac{5p^{5}}{50p^{5}q^{6}}$$

Since \frac{6q^{2}}{50p^{5}q^{6}} and \frac{5p^{5}}{50p^{5}q^{6}} have the same denominator, add them by adding their numerators.

$$\frac{6q^{2}+5p^{5}}{50p^{5}q^{6}}$$

Factor

$$\frac{\frac{5p^{5}}{q^{2}}+6}{50q^{4}p^{5}}$$