Solve 3/4a-5/6a^2

$$\frac { 3 } { 4 a } - \frac { 5 } { 6 a ^ { 2 } }$$

Evaluate

$$\frac{3}{4a}-\frac{5}{6a^{2}}$$

Short Solution Steps

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

$$\frac{3\times 3a}{12a^{2}}-\frac{5\times 2}{12a^{2}}$$

Since \frac{3\times 3a}{12a^{2}} and \frac{5\times 2}{12a^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 3a-5\times 2}{12a^{2}}$$

Do the multiplications in 3\times 3a-5\times 2.

$$\frac{9a-10}{12a^{2}}$$

Factor

$$\frac{9a-10}{12a^{2}}$$