Solve -1+(1-0.5)*1/3*[2-(-3)]

$$- 1 + ( 1 - 0.5 ) \times \frac { 1 } { 3 } \times [ 2 - ( - 3 ) ]$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Subtract 0.5 from 1 to get 0.5.

$$-1+0.5\times \frac{1}{3}\left(2-\left(-3\right)\right)$$

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.

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

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

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

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

$$-1+\frac{1}{6}\left(2-\left(-3\right)\right)$$

The opposite of -3 is 3.

$$-1+\frac{1}{6}\left(2+3\right)$$

Add 2 and 3 to get 5.

$$-1+\frac{1}{6}\times 5$$

Multiply \frac{1}{6} and 5 to get \frac{5}{6}.

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

Convert -1 to fraction -\frac{6}{6}.

$$-\frac{6}{6}+\frac{5}{6}$$

Since -\frac{6}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-6+5}{6}$$

Add -6 and 5 to get -1.

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$