Solve 2+-1/2+-3/4

$$2 + \frac { - 1 } { 2 } + \frac { - 3 } { 4 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$2-\frac{1}{2}+\frac{-3}{4}$$

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

$$\frac{4}{2}-\frac{1}{2}+\frac{-3}{4}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{2}+\frac{-3}{4}$$

Subtract 1 from 4 to get 3.

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

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

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

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

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

Since \frac{6}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 6 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$