Solve -1-(1-0.5)*1/3*[19-(-5)div(-1/5)]

$$- 1 - ( 1 - 0.5 ) \times \frac { 1 } { 3 } \times [ 19 - ( - 5 ) \div ( - \frac { 1 } { 5 } ) ]$$

Evaluate

$$0$$

Solution Steps

Subtract 0.5 from 1 to get 0.5.

$$-1-0.5\times \frac{1}{3}\left(19-\frac{-5}{-\frac{1}{5}}\right)$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-1-\frac{1}{2}\times \frac{1}{3}\left(19-\frac{-5}{-\frac{1}{5}}\right)$$

Multiply \frac{1}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$-1-\frac{1\times 1}{2\times 3}\left(19-\frac{-5}{-\frac{1}{5}}\right)$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.

$$-1-\frac{1}{6}\left(19-\frac{-5}{-\frac{1}{5}}\right)$$

Divide -5 by -\frac{1}{5} by multiplying -5 by the reciprocal of -\frac{1}{5}.

$$-1-\frac{1}{6}\left(19-\left(-5\left(-5\right)\right)\right)$$

Multiply -5 and -5 to get 25.

$$-1-\frac{1}{6}\left(19-25\right)$$

Subtract 25 from 19 to get -6.

$$-1-\frac{1}{6}\left(-6\right)$$

Multiply \frac{1}{6} and -6 to get \frac{-6}{6}.

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

Divide -6 by 6 to get -1.

$$-1-\left(-1\right)$$

The opposite of -1 is 1.

$$-1+1$$

Add -1 and 1 to get 0.

$$0$$

Factor

$$0$$