Solve -1/3a-1/2b-3/4+1/2b-frac{2}{3}b+frac{5}{6}a

$$- \frac { 1 } { 3 } a - \frac { 1 } { 2 } b - \frac { 3 } { 4 } + \frac { 1 } { 2 } b - \frac { 2 } { 3 } b + \frac { 5 } { 6 } a$$

Evaluate

$$\frac{a}{2}-\frac{2b}{3}-\frac{3}{4}$$

Solution Steps

Combine -\frac{1}{2}b and \frac{1}{2}b to get 0.

$$-\frac{1}{3}a-\frac{3}{4}-\frac{2}{3}b+\frac{5}{6}a$$

Combine -\frac{1}{3}a and \frac{5}{6}a to get \frac{1}{2}a.

$$\frac{1}{2}a-\frac{3}{4}-\frac{2}{3}b$$

Factor

$$\frac{6a-8b-9}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{-4a-6b-9+6b-8b+10a}{12}$$

Consider -4a-6b-9+6b-8b+10a. Multiply and combine like terms.

$$6a-8b-9$$

Rewrite the complete factored expression.

$$\frac{6a-8b-9}{12}$$