Solve 1/10+1/10011

$$\frac { 1 } { 10 } + \frac { 1 } { 100 } 11$$

Evaluate

$$\frac{21}{100}=0.21$$

Solution Steps

Multiply \frac{1}{100} and 11 to get \frac{11}{100}.

$$\frac{1}{10}+\frac{11}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{1}{10} and \frac{11}{100} to fractions with denominator 100.

$$\frac{10}{100}+\frac{11}{100}$$

Since \frac{10}{100} and \frac{11}{100} have the same denominator, add them by adding their numerators.

$$\frac{10+11}{100}$$

Add 10 and 11 to get 21.

$$\frac{21}{100}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5 ^ {2}} = 0.21$$