Solve (6/5-3/10)+3/2-1/5

$$( \frac { 6 } { 5 } - \frac { 3 } { 10 } ) + \frac { 3 } { 2 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{6}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{12}{10}-\frac{3}{10}+\frac{3}{2}-\frac{1}{5}$$

Since \frac{12}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-3}{10}+\frac{3}{2}-\frac{1}{5}$$

Subtract 3 from 12 to get 9.

$$\frac{9}{10}+\frac{3}{2}-\frac{1}{5}$$

Least common multiple of 10 and 2 is 10. Convert \frac{9}{10} and \frac{3}{2} to fractions with denominator 10.

$$\frac{9}{10}+\frac{15}{10}-\frac{1}{5}$$

Since \frac{9}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{9+15}{10}-\frac{1}{5}$$

Add 9 and 15 to get 24.

$$\frac{24}{10}-\frac{1}{5}$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}-\frac{1}{5}$$

Since \frac{12}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-1}{5}$$

Subtract 1 from 12 to get 11.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$