Solve -0.01+450/(50)^2

$$- 0.01 + \frac { 450 } { ( 50 ) ^ { 2 } }$$

Evaluate

$$0.17$$

Solution Steps

Calculate 50 to the power of 2 and get 2500.

$$-0.01+\frac{450}{2500}$$

Reduce the fraction \frac{450}{2500} to lowest terms by extracting and canceling out 50.

$$-0.01+\frac{9}{50}$$

Convert decimal number -0.01 to fraction -\frac{1}{100}.

$$-\frac{1}{100}+\frac{9}{50}$$

Least common multiple of 100 and 50 is 100. Convert -\frac{1}{100} and \frac{9}{50} to fractions with denominator 100.

$$-\frac{1}{100}+\frac{18}{100}$$

Since -\frac{1}{100} and \frac{18}{100} have the same denominator, add them by adding their numerators.

$$\frac{-1+18}{100}$$

Add -1 and 18 to get 17.

$$\frac{17}{100}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 5 ^ {2}} = 0.17$$