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

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

Evaluate

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

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{6}{2}+\frac{1}{2}-1+\frac{1}{4}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{2}-1+\frac{1}{4}$$

Add 6 and 1 to get 7.

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

Convert 1 to fraction \frac{2}{2}.

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

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

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

Subtract 2 from 7 to get 5.

$$\frac{5}{2}+\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{10}{4}+\frac{1}{4}$$

Since \frac{10}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{4}$$

Add 10 and 1 to get 11.

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

Factor

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