Solve 1/2+3/5+1/10

$$\frac { 1 } { 2 } + \frac { 3 } { 5 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{6}{10}+\frac{1}{10}$$

Since \frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{10}+\frac{1}{10}$$

Add 5 and 6 to get 11.

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

Since \frac{11}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

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

Add 11 and 1 to get 12.

$$\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$