Solve 1+1/10+3/200

$$1 + \frac { 1 } { 10 } + \frac { 3 } { 200 }$$

Evaluate

$$\frac{223}{200}=1.115$$

Solution Steps

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

$$\frac{10}{10}+\frac{1}{10}+\frac{3}{200}$$

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

$$\frac{10+1}{10}+\frac{3}{200}$$

Add 10 and 1 to get 11.

$$\frac{11}{10}+\frac{3}{200}$$

Least common multiple of 10 and 200 is 200. Convert \frac{11}{10} and \frac{3}{200} to fractions with denominator 200.

$$\frac{220}{200}+\frac{3}{200}$$

Since \frac{220}{200} and \frac{3}{200} have the same denominator, add them by adding their numerators.

$$\frac{220+3}{200}$$

Add 220 and 3 to get 223.

$$\frac{223}{200}$$

Factor

$$\frac{223}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{23}{200} = 1.115$$