Solve 1+1/10+5/1000

$$1+ \frac{ 1 }{ 10 } + \frac{ 5 }{ 1000 }$$

Evaluate

$$\frac{221}{200}=1.105$$

Solution Steps

Convert 1 to fraction \frac{10}{10}.

$$\frac{10}{10}+\frac{1}{10}+\frac{5}{1000}$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{10}+\frac{5}{1000}$$

Add 10 and 1 to get 11.

$$\frac{11}{10}+\frac{5}{1000}$$

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

$$\frac{11}{10}+\frac{1}{200}$$

Least common multiple of 10 and 200 is 200. Convert \frac{11}{10} and \frac{1}{200} to fractions with denominator 200.

$$\frac{220}{200}+\frac{1}{200}$$

Since \frac{220}{200} and \frac{1}{200} have the same denominator, add them by adding their numerators.

$$\frac{220+1}{200}$$

Add 220 and 1 to get 221.

$$\frac{221}{200}$$

Factor

$$\frac{13 \cdot 17}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{21}{200} = 1.105$$