Solve 05+(-1/4)-(-275)+1/2

$$05 + ( - \frac { 1 } { 4 } ) - ( - 275 ) + \frac { 1 } { 2 }$$

Evaluate

$$\frac{1101}{4}=275.25$$

Solution Steps

Multiply 0 and 5 to get 0.

$$0-\frac{1}{4}-\left(-275\right)+\frac{1}{2}$$

Subtract \frac{1}{4} from 0 to get -\frac{1}{4}.

$$-\frac{1}{4}-\left(-275\right)+\frac{1}{2}$$

The opposite of -275 is 275.

$$-\frac{1}{4}+275+\frac{1}{2}$$

Convert 275 to fraction \frac{1100}{4}.

$$-\frac{1}{4}+\frac{1100}{4}+\frac{1}{2}$$

Since -\frac{1}{4} and \frac{1100}{4} have the same denominator, add them by adding their numerators.

$$\frac{-1+1100}{4}+\frac{1}{2}$$

Add -1 and 1100 to get 1099.

$$\frac{1099}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{1099}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{1099}{4}+\frac{2}{4}$$

Since \frac{1099}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{1099+2}{4}$$

Add 1099 and 2 to get 1101.

$$\frac{1101}{4}$$

Factor

$$\frac{3 \cdot 367}{2 ^ {2}} = 275\frac{1}{4} = 275.25$$