Solve 1/6m+2/3m

$$\frac { 1 } { 6 m } + \frac { 2 } { 3 m }$$

Evaluate

$$\frac{5}{6m}$$

Short Solution Steps

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

$$\frac{1}{6m}+\frac{2\times 2}{6m}$$

Since \frac{1}{6m} and \frac{2\times 2}{6m} have the same denominator, add them by adding their numerators.

$$\frac{1+2\times 2}{6m}$$

Do the multiplications in 1+2\times 2.

$$\frac{1+4}{6m}$$

Do the calculations in 1+4.

$$\frac{5}{6m}$$

Differentiate w.r.t. m

$$-\frac{5}{6m^{2}}$$