Solve (-025)*(-55)+1/4*(-35)-(-1/4)*2

$$( - 025 ) \times ( - 55 ) + \frac { 1 } { 4 } \times ( - 35 ) - ( - \frac { 1 } { 4 } ) \times 2$$

Evaluate

$$-\frac{33}{4}=-8.25$$

Solution Steps

Multiply 0 and 25 to get 0.

$$0\left(-55\right)+\frac{1}{4}\left(-35\right)-\left(-\frac{1}{4}\times 2\right)$$

Multiply 0 and -55 to get 0.

$$0+\frac{1}{4}\left(-35\right)-\left(-\frac{1}{4}\times 2\right)$$

Multiply \frac{1}{4} and -35 to get \frac{-35}{4}.

$$0+\frac{-35}{4}-\left(-\frac{1}{4}\times 2\right)$$

Fraction \frac{-35}{4} can be rewritten as -\frac{35}{4} by extracting the negative sign.

$$0-\frac{35}{4}-\left(-\frac{1}{4}\times 2\right)$$

Subtract \frac{35}{4} from 0 to get -\frac{35}{4}.

$$-\frac{35}{4}-\left(-\frac{1}{4}\times 2\right)$$

Express -\frac{1}{4}\times 2 as a single fraction.

$$-\frac{35}{4}-\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{35}{4}-\left(-\frac{1}{2}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$-\frac{35}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{35}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{35}{4}+\frac{2}{4}$$

Since -\frac{35}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{-35+2}{4}$$

Add -35 and 2 to get -33.

$$-\frac{33}{4}$$

Factor

$$-\frac{33}{4} = -8\frac{1}{4} = -8.25$$