Solve (1/3+1/5-n/15)

$$( \frac { 1 } { 3 } + \frac { 1 } { 5 } - \frac { n } { 15 } )$$

Evaluate

$$\frac{8-n}{15}$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{3}{15}-\frac{n}{15}$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{15}-\frac{n}{15}$$

Add 5 and 3 to get 8.

$$\frac{8}{15}-\frac{n}{15}$$

Since \frac{8}{15} and \frac{n}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+n}{15}$$

Factor

$$\frac{8-n}{15}$$

Solution Steps

Factor out \frac{1}{15}.

$$\frac{8-n}{15}$$

Consider 5+3-n. Multiply and combine like terms.

$$-n+8$$

Rewrite the complete factored expression.

$$\frac{-n+8}{15}$$