Solve (-6+3)*[(-1)-(1-0.5*1/3)]

$$( - 6 + 3 ) \times [ ( - 1 ) - ( 1 - 0.5 \times \frac { 1 } { 3 } ) ]$$

Evaluate

$$5.5$$

Solution Steps

Add -6 and 3 to get -3.

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

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.

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

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

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

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

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

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

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

Since \frac{6}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 6 to get 5.

$$-3\left(-1-\frac{5}{6}\right)$$

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

$$-3\left(-\frac{6}{6}-\frac{5}{6}\right)$$

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

$$-3\times \frac{-6-5}{6}$$

Subtract 5 from -6 to get -11.

$$-3\left(-\frac{11}{6}\right)$$

Express -3\left(-\frac{11}{6}\right) as a single fraction.

$$\frac{-3\left(-11\right)}{6}$$

Multiply -3 and -11 to get 33.

$$\frac{33}{6}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$