Solve 6/5-2/3v+4/15+1/3v

$$\frac { 6 } { 5 } - \frac { 2 } { 3 } v + \frac { 4 } { 15 } + \frac { 1 } { 3 } v$$

Evaluate

$$-\frac{v}{3}+\frac{22}{15}$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert \frac{6}{5} and \frac{4}{15} to fractions with denominator 15.

$$\frac{18}{15}-\frac{2}{3}v+\frac{4}{15}+\frac{1}{3}v$$

Since \frac{18}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{18+4}{15}-\frac{2}{3}v+\frac{1}{3}v$$

Add 18 and 4 to get 22.

$$\frac{22}{15}-\frac{2}{3}v+\frac{1}{3}v$$

Combine -\frac{2}{3}v and \frac{1}{3}v to get -\frac{1}{3}v.

$$\frac{22}{15}-\frac{1}{3}v$$

Factor

$$\frac{22-5v}{15}$$

Solution Steps

Factor out \frac{1}{15}.

$$\frac{22-5v}{15}$$

Consider 18-10v+4+5v. Multiply and combine like terms.

$$-5v+22$$

Rewrite the complete factored expression.

$$\frac{-5v+22}{15}$$