Solve 1/2+1/5+1/10

$$\frac { 1 } { 2 } + \frac { 1 } { 5 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{2}{10}+\frac{1}{10}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{10}+\frac{1}{10}$$

Add 5 and 2 to get 7.

$$\frac{7}{10}+\frac{1}{10}$$

Since \frac{7}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{7+1}{10}$$

Add 7 and 1 to get 8.

$$\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$