Solve 3/4a-1/6a

$$\frac { 3 } { 4 a } - \frac { 1 } { 6 a }$$

Evaluate

$$\frac{7}{12a}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4a and 6a is 12a. Multiply \frac{3}{4a} times \frac{3}{3}. Multiply \frac{1}{6a} times \frac{2}{2}.

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

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

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

Do the multiplications in 3\times 3-2.

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

Do the calculations in 9-2.

$$\frac{7}{12a}$$

Differentiate w.r.t. a

$$-\frac{7}{12a^{2}}$$