Solve -u/3+v/2-4

$$- \frac { u } { 3 } + \frac { v } { 2 } - 4$$

Evaluate

$$\frac{v}{2}-\frac{u}{3}-4$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 2 is 6. Multiply -\frac{u}{3} times \frac{2}{2}. Multiply \frac{v}{2} times \frac{3}{3}.

$$-\frac{2u}{6}+\frac{3v}{6}-4$$

Since -\frac{2u}{6} and \frac{3v}{6} have the same denominator, add them by adding their numerators.

$$\frac{-2u+3v}{6}-4$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{6}{6}.

$$\frac{-2u+3v}{6}-\frac{4\times 6}{6}$$

Since \frac{-2u+3v}{6} and \frac{4\times 6}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2u+3v-4\times 6}{6}$$

Do the multiplications in -2u+3v-4\times 6.

$$\frac{-2u+3v-24}{6}$$

Factor

$$\frac{-2u+3v-24}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{-2u+3v-24}{6}$$