Solve (-21/2)+13/8

$$( - 2 \frac { 1 } { 2 } ) + 1 \frac { 3 } { 8 }$$

Evaluate

$$-\frac{9}{8}=-1.125$$

Solution Steps

Multiply 2 and 2 to get 4.

$$-\frac{4+1}{2}+\frac{1\times 8+3}{8}$$

Add 4 and 1 to get 5.

$$-\frac{5}{2}+\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$-\frac{5}{2}+\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$-\frac{5}{2}+\frac{11}{8}$$

Least common multiple of 2 and 8 is 8. Convert -\frac{5}{2} and \frac{11}{8} to fractions with denominator 8.

$$-\frac{20}{8}+\frac{11}{8}$$

Since -\frac{20}{8} and \frac{11}{8} have the same denominator, add them by adding their numerators.

$$\frac{-20+11}{8}$$

Add -20 and 11 to get -9.

$$-\frac{9}{8}$$

Factor

$$-\frac{9}{8} = -1\frac{1}{8} = -1.125$$