Solve 20/100+6/1000+1/2000+.5/100=

$$\frac{ 20 }{ 100 } + \frac{ 6 }{ 1000 } + \frac{ 1 }{ 2000 } + \frac{ .5 }{ 100 } =$$

Evaluate

$$0.2115$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}+\frac{6}{1000}+\frac{1}{2000}+\frac{0.5}{100}$$

Reduce the fraction \frac{6}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{3}{500}+\frac{1}{2000}+\frac{0.5}{100}$$

Least common multiple of 5 and 500 is 500. Convert \frac{1}{5} and \frac{3}{500} to fractions with denominator 500.

$$\frac{100}{500}+\frac{3}{500}+\frac{1}{2000}+\frac{0.5}{100}$$

Since \frac{100}{500} and \frac{3}{500} have the same denominator, add them by adding their numerators.

$$\frac{100+3}{500}+\frac{1}{2000}+\frac{0.5}{100}$$

Add 100 and 3 to get 103.

$$\frac{103}{500}+\frac{1}{2000}+\frac{0.5}{100}$$

Least common multiple of 500 and 2000 is 2000. Convert \frac{103}{500} and \frac{1}{2000} to fractions with denominator 2000.

$$\frac{412}{2000}+\frac{1}{2000}+\frac{0.5}{100}$$

Since \frac{412}{2000} and \frac{1}{2000} have the same denominator, add them by adding their numerators.

$$\frac{412+1}{2000}+\frac{0.5}{100}$$

Add 412 and 1 to get 413.

$$\frac{413}{2000}+\frac{0.5}{100}$$

Expand \frac{0.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{413}{2000}+\frac{5}{1000}$$

Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{413}{2000}+\frac{1}{200}$$

Least common multiple of 2000 and 200 is 2000. Convert \frac{413}{2000} and \frac{1}{200} to fractions with denominator 2000.

$$\frac{413}{2000}+\frac{10}{2000}$$

Since \frac{413}{2000} and \frac{10}{2000} have the same denominator, add them by adding their numerators.

$$\frac{413+10}{2000}$$

Add 413 and 10 to get 423.

$$\frac{423}{2000}$$

Factor

$$\frac{47 \cdot 3 ^ {2}}{2 ^ {4} \cdot 5 ^ {3}} = 0.2115$$