Solve 2/10+1/1000+4/10000=

$$\frac { 2 } { 10 } + \frac { 1 } { 1000 } + \frac { 4 } { 10000 } =$$

Evaluate

$$\frac{1007}{5000}=0.2014$$

Solution Steps

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{1}{1000}+\frac{4}{10000}$$

Least common multiple of 5 and 1000 is 1000. Convert \frac{1}{5} and \frac{1}{1000} to fractions with denominator 1000.

$$\frac{200}{1000}+\frac{1}{1000}+\frac{4}{10000}$$

Since \frac{200}{1000} and \frac{1}{1000} have the same denominator, add them by adding their numerators.

$$\frac{200+1}{1000}+\frac{4}{10000}$$

Add 200 and 1 to get 201.

$$\frac{201}{1000}+\frac{4}{10000}$$

Reduce the fraction \frac{4}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{201}{1000}+\frac{1}{2500}$$

Least common multiple of 1000 and 2500 is 5000. Convert \frac{201}{1000} and \frac{1}{2500} to fractions with denominator 5000.

$$\frac{1005}{5000}+\frac{2}{5000}$$

Since \frac{1005}{5000} and \frac{2}{5000} have the same denominator, add them by adding their numerators.

$$\frac{1005+2}{5000}$$

Add 1005 and 2 to get 1007.

$$\frac{1007}{5000}$$

Factor

$$\frac{19 \cdot 53}{2 ^ {3} \cdot 5 ^ {4}} = 0.2014$$