Solve 6/n-3/n-8/3

$$\frac { 6 } { n } - \frac { 3 } { n } - \frac { 8 } { 3 }$$

Evaluate

$$-\frac{8}{3}+\frac{3}{n}$$

Short Solution Steps

Since \frac{6}{n} and \frac{3}{n} have the same denominator, subtract them by subtracting their numerators. Subtract 3 from 6 to get 3.

$$\frac{3}{n}-\frac{8}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of n and 3 is 3n. Multiply \frac{3}{n} times \frac{3}{3}. Multiply \frac{8}{3} times \frac{n}{n}.

$$\frac{3\times 3}{3n}-\frac{8n}{3n}$$

Since \frac{3\times 3}{3n} and \frac{8n}{3n} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 3-8n}{3n}$$

Do the multiplications in 3\times 3-8n.

$$\frac{9-8n}{3n}$$

Factor

$$-\frac{\frac{1}{3}\left(8n-9\right)}{n}$$