Solve -1/8--98.5=

$$\frac { - 1 } { 8 } - - 98.5 =$$

Evaluate

$$98.375$$

Solution Steps

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$-\frac{1}{8}-\left(-98.5\right)$$

The opposite of -98.5 is 98.5.

$$-\frac{1}{8}+98.5$$

Convert decimal number 98.5 to fraction \frac{985}{10}. Reduce the fraction \frac{985}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{8}+\frac{197}{2}$$

Least common multiple of 8 and 2 is 8. Convert -\frac{1}{8} and \frac{197}{2} to fractions with denominator 8.

$$-\frac{1}{8}+\frac{788}{8}$$

Since -\frac{1}{8} and \frac{788}{8} have the same denominator, add them by adding their numerators.

$$\frac{-1+788}{8}$$

Add -1 and 788 to get 787.

$$\frac{787}{8}$$

Factor

$$\frac{787}{2 ^ {3}} = 98\frac{3}{8} = 98.375$$