Solve 12/4-5/4+3/2=

$$\frac { 12 } { 4 } - 5 / 4 + \frac { 3 } { 2 } =$$

Evaluate

$$\frac{13}{4}=3.25$$

Solution Steps

Since \frac{12}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{4}+\frac{3}{2}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{4}+\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{7}{4}+\frac{6}{4}$$

Since \frac{7}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{4}$$

Add 7 and 6 to get 13.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$