Solve 9/4ab+5a/6b^2

$$\frac { 9 } { 4 a b } + \frac { 5 a } { 6 b ^ { 2 } }$$

Evaluate

$$\frac{5a}{6b^{2}}+\frac{9}{4ab}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4ab and 6b^{2} is 12ab^{2}. Multiply \frac{9}{4ab} times \frac{3b}{3b}. Multiply \frac{5a}{6b^{2}} times \frac{2a}{2a}.

$$\frac{9\times 3b}{12ab^{2}}+\frac{5a\times 2a}{12ab^{2}}$$

Since \frac{9\times 3b}{12ab^{2}} and \frac{5a\times 2a}{12ab^{2}} have the same denominator, add them by adding their numerators.

$$\frac{9\times 3b+5a\times 2a}{12ab^{2}}$$

Do the multiplications in 9\times 3b+5a\times 2a.

$$\frac{27b+10a^{2}}{12ab^{2}}$$

Factor

$$\frac{\frac{10a^{2}}{b}+27}{12ab}$$