Solve (-25)-1/2+(-1/5)

$$( - 25 ) - \frac { 1 } { 2 } + ( - \frac { 1 } { 5 } )$$

Evaluate

$$-\frac{257}{10}=-25.7$$

Solution Steps

Convert -25 to fraction -\frac{50}{2}.

$$-\frac{50}{2}-\frac{1}{2}-\frac{1}{5}$$

Since -\frac{50}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-50-1}{2}-\frac{1}{5}$$

Subtract 1 from -50 to get -51.

$$-\frac{51}{2}-\frac{1}{5}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{51}{2} and \frac{1}{5} to fractions with denominator 10.

$$-\frac{255}{10}-\frac{2}{10}$$

Since -\frac{255}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-255-2}{10}$$

Subtract 2 from -255 to get -257.

$$-\frac{257}{10}$$

Factor

$$-\frac{257}{10} = -25\frac{7}{10} = -25.7$$