Solve 7/4-1/2+3

$$\frac { 7 } { 4 } - \frac { 1 } { 2 } + 3$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{7}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 7 to get 5.

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

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

$$\frac{5}{4}+\frac{12}{4}$$

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

$$\frac{5+12}{4}$$

Add 5 and 12 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$