Solve 7/4gh+3/4h^2

$$\frac { 7 } { 4 g h } + \frac { 3 } { 4 h ^ { 2 } }$$

Evaluate

$$\frac{7}{4gh}+\frac{3}{4h^{2}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4gh and 4h^{2} is 4gh^{2}. Multiply \frac{7}{4gh} times \frac{h}{h}. Multiply \frac{3}{4h^{2}} times \frac{g}{g}.

$$\frac{7h}{4gh^{2}}+\frac{3g}{4gh^{2}}$$

Since \frac{7h}{4gh^{2}} and \frac{3g}{4gh^{2}} have the same denominator, add them by adding their numerators.

$$\frac{7h+3g}{4gh^{2}}$$

Factor

$$\frac{\frac{3g}{h}+7}{4gh}$$