Solve (-0.5)+31/4+2.75+(-51/2)

$$( - 0.5 ) + 3 \frac { 1 } { 4 } + 2.75 + ( - 5 \frac { 1 } { 2 } )$$

Evaluate

$$0$$

Solution Steps

Multiply 3 and 4 to get 12.

$$-0.5+\frac{12+1}{4}+2.75-\frac{5\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$-0.5+\frac{13}{4}+2.75-\frac{5\times 2+1}{2}$$

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.

$$-\frac{1}{2}+\frac{13}{4}+2.75-\frac{5\times 2+1}{2}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{13}{4} to fractions with denominator 4.

$$-\frac{2}{4}+\frac{13}{4}+2.75-\frac{5\times 2+1}{2}$$

Since -\frac{2}{4} and \frac{13}{4} have the same denominator, add them by adding their numerators.

$$\frac{-2+13}{4}+2.75-\frac{5\times 2+1}{2}$$

Add -2 and 13 to get 11.

$$\frac{11}{4}+2.75-\frac{5\times 2+1}{2}$$

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.

$$\frac{11}{4}+\frac{11}{4}-\frac{5\times 2+1}{2}$$

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

$$\frac{11+11}{4}-\frac{5\times 2+1}{2}$$

Add 11 and 11 to get 22.

$$\frac{22}{4}-\frac{5\times 2+1}{2}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{11}{2}-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{11}{2}$$

Subtract \frac{11}{2} from \frac{11}{2} to get 0.

$$0$$

Factor

$$0$$