Solve 9/4-9/2+2

$$\frac { 9 } { 4 } - \frac { 9 } { 2 } + 2$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{9}{4}-\frac{18}{4}+2$$

Since \frac{9}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-18}{4}+2$$

Subtract 18 from 9 to get -9.

$$-\frac{9}{4}+2$$

Convert 2 to fraction \frac{8}{4}.

$$-\frac{9}{4}+\frac{8}{4}$$

Since -\frac{9}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{-9+8}{4}$$

Add -9 and 8 to get -1.

$$-\frac{1}{4}$$

Factor

$$-\frac{1}{4} = -0.25$$