Solve (9/2ab-3a+5/2b)+(4/2a-ab-11/5b)

$$( \frac { 9 } { 2 } a b - 3 a + \frac { 5 } { 2 } b ) + ( \frac { 4 } { 2 } a - a b - \frac { 11 } { 5 } b )$$

Evaluate

$$\frac{7ab}{2}+\frac{3b}{10}-a$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{9}{2}ab-3a+\frac{5}{2}b+2a-ab-\frac{11}{5}b$$

Combine -3a and 2a to get -a.

$$\frac{9}{2}ab-a+\frac{5}{2}b-ab-\frac{11}{5}b$$

Combine \frac{9}{2}ab and -ab to get \frac{7}{2}ab.

$$\frac{7}{2}ab-a+\frac{5}{2}b-\frac{11}{5}b$$

Combine \frac{5}{2}b and -\frac{11}{5}b to get \frac{3}{10}b.

$$\frac{7}{2}ab-a+\frac{3}{10}b$$

Factor

$$\frac{35ab-10a+3b}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{45ab-30a+25b+20a-10ab-22b}{10}$$