Solve -111/8-(-75/2)

$$- 11 \frac { 1 } { 8 } - ( - 7 \frac { 5 } { 2 } )$$

Evaluate

$$-\frac{13}{8}=-1.625$$

Solution Steps

Multiply 11 and 8 to get 88.

$$-\frac{88+1}{8}-\left(-\frac{7\times 2+5}{2}\right)$$

Add 88 and 1 to get 89.

$$-\frac{89}{8}-\left(-\frac{7\times 2+5}{2}\right)$$

Multiply 7 and 2 to get 14.

$$-\frac{89}{8}-\left(-\frac{14+5}{2}\right)$$

Add 14 and 5 to get 19.

$$-\frac{89}{8}-\left(-\frac{19}{2}\right)$$

The opposite of -\frac{19}{2} is \frac{19}{2}.

$$-\frac{89}{8}+\frac{19}{2}$$

Least common multiple of 8 and 2 is 8. Convert -\frac{89}{8} and \frac{19}{2} to fractions with denominator 8.

$$-\frac{89}{8}+\frac{76}{8}$$

Since -\frac{89}{8} and \frac{76}{8} have the same denominator, add them by adding their numerators.

$$\frac{-89+76}{8}$$

Add -89 and 76 to get -13.

$$-\frac{13}{8}$$

Factor

$$-\frac{13}{8} = -1\frac{5}{8} = -1.625$$