Solve 4/5-2+1/10+1

$$\frac { 4 } { 5 } - 2 + \frac { 1 } { 10 } + 1$$

Evaluate

$$-\frac{1}{10}=-0.1$$

Solution Steps

Convert 2 to fraction \frac{10}{5}.

$$\frac{4}{5}-\frac{10}{5}+\frac{1}{10}+1$$

Since \frac{4}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-10}{5}+\frac{1}{10}+1$$

Subtract 10 from 4 to get -6.

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

Least common multiple of 5 and 10 is 10. Convert -\frac{6}{5} and \frac{1}{10} to fractions with denominator 10.

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

Since -\frac{12}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

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

Add -12 and 1 to get -11.

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

Convert 1 to fraction \frac{10}{10}.

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

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

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

Add -11 and 10 to get -1.

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

Factor

$$-\frac{1}{10} = -0.1$$