Solve 1/4+1/5+1/10=

$$\frac { 1 } { 4 } + \frac { 1 } { 5 } + \frac { 1 } { 10 } =$$

Evaluate

$$\frac{11}{20}=0.55$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{5}{20}+\frac{4}{20}+\frac{1}{10}$$

Since \frac{5}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{20}+\frac{1}{10}$$

Add 5 and 4 to get 9.

$$\frac{9}{20}+\frac{1}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{9}{20} and \frac{1}{10} to fractions with denominator 20.

$$\frac{9}{20}+\frac{2}{20}$$

Since \frac{9}{20} and \frac{2}{20} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{20}$$

Add 9 and 2 to get 11.

$$\frac{11}{20}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 5} = 0.55$$