Solve {l}{-0.25*0.1}{+1/2*(-0.2)}

$$\left. \begin{array} { l } { - 0.25 \times 0.1 } \\ { + \frac { 1 } { 2 } \times ( - 0.2 ) } \end{array} \right.$$

Evaluate

$$-0.125$$

Solution Steps

Multiply -0.25 and 0.1 to get -0.025.

$$-0.025+\frac{1}{2}\left(-0.2\right)$$

Convert decimal number -0.2 to fraction -\frac{2}{10}. Reduce the fraction -\frac{2}{10} to lowest terms by extracting and canceling out 2.

$$-0.025+\frac{1}{2}\left(-\frac{1}{5}\right)$$

Multiply \frac{1}{2} times -\frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$-0.025+\frac{1\left(-1\right)}{2\times 5}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 5}.

$$-0.025+\frac{-1}{10}$$

Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$-0.025-\frac{1}{10}$$

Convert decimal number -0.025 to fraction -\frac{25}{1000}. Reduce the fraction -\frac{25}{1000} to lowest terms by extracting and canceling out 25.

$$-\frac{1}{40}-\frac{1}{10}$$

Least common multiple of 40 and 10 is 40. Convert -\frac{1}{40} and \frac{1}{10} to fractions with denominator 40.

$$-\frac{1}{40}-\frac{4}{40}$$

Since -\frac{1}{40} and \frac{4}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-4}{40}$$

Subtract 4 from -1 to get -5.

$$\frac{-5}{40}$$

Reduce the fraction \frac{-5}{40} to lowest terms by extracting and canceling out 5.

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

Factor

$$-0.125$$