Solve 5/3n-2/2n

$$\frac { 5 } { 3 n } - \frac { 2 } { 2 n }$$

Evaluate

$$\frac{2}{3n}$$

Short Solution Steps

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

$$\frac{5\times 2}{6n}-\frac{2\times 3}{6n}$$

Since \frac{5\times 2}{6n} and \frac{2\times 3}{6n} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\times 2-2\times 3}{6n}$$

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

$$\frac{10-6}{6n}$$

Do the calculations in 10-6.

$$\frac{4}{6n}$$

Differentiate w.r.t. n

$$-\frac{2}{3n^{2}}$$