Solve (-2.5)-1/2+(-1/5)

$$( - 2.5 ) - \frac { 1 } { 2 } + ( - \frac { 1 } { 5 } )$$

Evaluate

$$-3.2$$

Solution Steps

Convert decimal number -2.5 to fraction -\frac{25}{10}. Reduce the fraction -\frac{25}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{5}{2}-\frac{1}{2}-\frac{1}{5}$$

Since -\frac{5}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-1}{2}-\frac{1}{5}$$

Subtract 1 from -5 to get -6.

$$\frac{-6}{2}-\frac{1}{5}$$

Divide -6 by 2 to get -3.

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

Convert -3 to fraction -\frac{15}{5}.

$$-\frac{15}{5}-\frac{1}{5}$$

Since -\frac{15}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-1}{5}$$

Subtract 1 from -15 to get -16.

$$-\frac{16}{5}$$

Factor

$$-3.2$$