Solve 11/2-3/10+1/5

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

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

$$\frac{15}{10}-\frac{3}{10}+\frac{1}{5}$$

Since \frac{15}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-3}{10}+\frac{1}{5}$$

Subtract 3 from 15 to get 12.

$$\frac{12}{10}+\frac{1}{5}$$

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

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

Since \frac{6}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

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

Add 6 and 1 to get 7.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$