Solve 1/4-1/2+3

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

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

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

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

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

Subtract 2 from 1 to get -1.

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

Convert 3 to fraction \frac{12}{4}.

$$-\frac{1}{4}+\frac{12}{4}$$

Since -\frac{1}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{-1+12}{4}$$

Add -1 and 12 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$