Solve -2/3v^2-5/4v

$$\frac { - 2 } { 3 v ^ { 2 } } - \frac { 5 } { 4 v }$$

Evaluate

$$-\frac{5}{4v}-\frac{2}{3v^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3v^{2} and 4v is 12v^{2}. Multiply \frac{-2}{3v^{2}} times \frac{4}{4}. Multiply \frac{5}{4v} times \frac{3v}{3v}.

$$\frac{-2\times 4}{12v^{2}}-\frac{5\times 3v}{12v^{2}}$$

Since \frac{-2\times 4}{12v^{2}} and \frac{5\times 3v}{12v^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2\times 4-5\times 3v}{12v^{2}}$$

Do the multiplications in -2\times 4-5\times 3v.

$$\frac{-8-15v}{12v^{2}}$$

Factor

$$-\frac{\frac{1}{12}\left(15v+8\right)}{v^{2}}$$