Solve 9/4+3/2-2

$$\frac { 9 } { 4 } + \frac { 3 } { 2 } - 2$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{9}{4}+\frac{6}{4}-2$$

Since \frac{9}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{4}-2$$

Add 9 and 6 to get 15.

$$\frac{15}{4}-2$$

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

$$\frac{15}{4}-\frac{8}{4}$$

Since \frac{15}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{4}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$