Solve -0.08+750/20^2

$$- 0.08 + \frac { 750 } { 20 ^ { 2 } }$$

Evaluate

$$1.795$$

Solution Steps

Calculate 20 to the power of 2 and get 400.

$$-0.08+\frac{750}{400}$$

Reduce the fraction \frac{750}{400} to lowest terms by extracting and canceling out 50.

$$-0.08+\frac{15}{8}$$

Convert decimal number -0.08 to fraction -\frac{8}{100}. Reduce the fraction -\frac{8}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{2}{25}+\frac{15}{8}$$

Least common multiple of 25 and 8 is 200. Convert -\frac{2}{25} and \frac{15}{8} to fractions with denominator 200.

$$-\frac{16}{200}+\frac{375}{200}$$

Since -\frac{16}{200} and \frac{375}{200} have the same denominator, add them by adding their numerators.

$$\frac{-16+375}{200}$$

Add -16 and 375 to get 359.

$$\frac{359}{200}$$

Factor

$$\frac{359}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{159}{200} = 1.795$$