Solve 1/50+1/100+1/500

$$\frac { 1 } { 50 } + \frac { 1 } { 100 } + \frac { 1 } { 500 }$$

Evaluate

$$\frac{4}{125}=0.032$$

Solution Steps

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

$$\frac{2}{100}+\frac{1}{100}+\frac{1}{500}$$

Since \frac{2}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{100}+\frac{1}{500}$$

Add 2 and 1 to get 3.

$$\frac{3}{100}+\frac{1}{500}$$

Least common multiple of 100 and 500 is 500. Convert \frac{3}{100} and \frac{1}{500} to fractions with denominator 500.

$$\frac{15}{500}+\frac{1}{500}$$

Since \frac{15}{500} and \frac{1}{500} have the same denominator, add them by adding their numerators.

$$\frac{15+1}{500}$$

Add 15 and 1 to get 16.

$$\frac{16}{500}$$

Reduce the fraction \frac{16}{500} to lowest terms by extracting and canceling out 4.

$$\frac{4}{125}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {3}} = 0.032$$