Solve 1/10+3/5-6/20

$$\frac { 1 } { 10 } + \frac { 3 } { 5 } - \frac { 6 } { 20 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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

$$\frac{1}{10}+\frac{6}{10}-\frac{6}{20}$$

Since \frac{1}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{10}-\frac{6}{20}$$

Add 1 and 6 to get 7.

$$\frac{7}{10}-\frac{6}{20}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{7}{10}-\frac{3}{10}$$

Since \frac{7}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{10}$$

Subtract 3 from 7 to get 4.

$$\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$