Solve 3+2/2-3-6/4

$$\frac { 3 + 2 } { 2 } - \frac { 3 - 6 } { 4 }$$

Evaluate

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

Solution Steps

Add 3 and 2 to get 5.

$$\frac{5}{2}-\frac{3-6}{4}$$

Subtract 6 from 3 to get -3.

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

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\frac{5}{2}-\left(-\frac{3}{4}\right)$$

The opposite of -\frac{3}{4} is \frac{3}{4}.

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

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{10}{4}+\frac{3}{4}$$

Since \frac{10}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{4}$$

Add 10 and 3 to get 13.

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

Factor

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