Solve 0.5+(-1/4)-(-2.75)+1/2

$$0.5 + ( - \frac { 1 } { 4 } ) - ( - 2.75 ) + \frac { 1 } { 2 }$$

Evaluate

$$3.5$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-\frac{1}{4}-\left(-2.75\right)+\frac{1}{2}$$

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

$$\frac{2}{4}-\frac{1}{4}-\left(-2.75\right)+\frac{1}{2}$$

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

$$\frac{2-1}{4}-\left(-2.75\right)+\frac{1}{2}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{4}-\left(-2.75\right)+\frac{1}{2}$$

The opposite of -2.75 is 2.75.

$$\frac{1}{4}+2.75+\frac{1}{2}$$

Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}+\frac{11}{4}+\frac{1}{2}$$

Since \frac{1}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+11}{4}+\frac{1}{2}$$

Add 1 and 11 to get 12.

$$\frac{12}{4}+\frac{1}{2}$$

Divide 12 by 4 to get 3.

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

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

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

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

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

Add 6 and 1 to get 7.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$