Solve b*7/4+9/4-11/4

$$b \cdot \frac { 7 } { 4 } + \frac { 9 } { 4 } - \frac { 11 } { 4 }$$

Evaluate

$$\frac{7b}{4}-\frac{1}{2}$$

Solution Steps

Since \frac{9}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$b\times \frac{7}{4}+\frac{9-11}{4}$$

Subtract 11 from 9 to get -2.

$$b\times \frac{7}{4}+\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$b\times \frac{7}{4}-\frac{1}{2}$$

Factor

$$\frac{7b-2}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{7b-2}{4}$$

Consider 7b+9-11. Multiply and combine like terms.

$$7b-2$$

Rewrite the complete factored expression.

$$\frac{7b-2}{4}$$