Solve (5/8100)-100

$$( \frac{ 5 }{ 8 } 100)-100$$

Evaluate

$$-\frac{75}{2}=-37.5$$

Solution Steps

Express \frac{5}{8}\times 100 as a single fraction.

$$\frac{5\times 100}{8}-100$$

Multiply 5 and 100 to get 500.

$$\frac{500}{8}-100$$

Reduce the fraction \frac{500}{8} to lowest terms by extracting and canceling out 4.

$$\frac{125}{2}-100$$

Convert 100 to fraction \frac{200}{2}.

$$\frac{125}{2}-\frac{200}{2}$$

Since \frac{125}{2} and \frac{200}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-200}{2}$$

Subtract 200 from 125 to get -75.

$$-\frac{75}{2}$$

Factor

$$-\frac{75}{2} = -37\frac{1}{2} = -37.5$$