Solve 2/t+1/3t

$$\frac { 2 } { t } + \frac { 1 } { 3 t }$$

Evaluate

$$\frac{7}{3t}$$

Short Solution Steps

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

$$\frac{2\times 3}{3t}+\frac{1}{3t}$$

Since \frac{2\times 3}{3t} and \frac{1}{3t} have the same denominator, add them by adding their numerators.

$$\frac{2\times 3+1}{3t}$$

Do the multiplications in 2\times 3+1.

$$\frac{6+1}{3t}$$

Do the calculations in 6+1.

$$\frac{7}{3t}$$

Differentiate w.r.t. t

$$-\frac{7}{3t^{2}}$$