Solve 1/2+3/10-2/2=?

$$\frac { 1 } { 2 } + \frac { 3 } { 10 } - \frac { 2 } { 2 } = ?$$

Evaluate

$$-\frac{1}{5}=-0.2$$

Solution Steps

Divide 2 by 2 to get 1.

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

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

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

Since \frac{5}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

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

Add 5 and 3 to get 8.

$$\frac{8}{10}-1$$

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

$$\frac{4}{5}-1$$

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{4}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 4 to get -1.

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

Factor

$$-\frac{1}{5} = -0.2$$