Solve 13w/5c-6v/c+d3/5

$$\frac { 13 w } { 5 c } - \frac { 6 v } { c } + \frac { d 3 } { 5 }$$

Evaluate

$$\frac{cd_{3}+13w-30v}{5c}$$

Short Solution Steps

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

$$\frac{13w}{5c}-\frac{5\times 6v}{5c}+\frac{d_{3}}{5}$$

Since \frac{13w}{5c} and \frac{5\times 6v}{5c} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13w-5\times 6v}{5c}+\frac{d_{3}}{5}$$

Do the multiplications in 13w-5\times 6v.

$$\frac{13w-30v}{5c}+\frac{d_{3}}{5}$$

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

$$\frac{13w-30v}{5c}+\frac{d_{3}c}{5c}$$

Since \frac{13w-30v}{5c} and \frac{d_{3}c}{5c} have the same denominator, add them by adding their numerators.

$$\frac{13w-30v+d_{3}c}{5c}$$

Factor

$$\frac{cd_{3}+13w-30v}{5c}$$