Solve 1/2b+9/4=7/4

$$\frac { 1 } { 2 } b + \frac { 9 } { 4 } = \frac { 7 } { 4 }$$

Solve for b

$$b=-1$$

Steps for Solving Linear Equation

Subtract \frac{9}{4} from both sides.

$$\frac{1}{2}b=\frac{7}{4}-\frac{9}{4}$$

Since \frac{7}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}b=\frac{7-9}{4}$$

Subtract 9 from 7 to get -2.

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

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

$$\frac{1}{2}b=-\frac{1}{2}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$b=-\frac{1}{2}\times 2$$

Cancel out 2 and 2.

$$b=-1$$