Solve -(-1/2)(+4)(-2/3)(-12)=

$$- ( - \frac { 1 } { 2 } ) ( + 4 ) ( - \frac { 2 } { 3 } ) ( - 12 ) =$$

Evaluate

$$16$$

Solution Steps

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

$$\frac{1}{2}\times 4\left(-\frac{2}{3}\right)\left(-12\right)$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{4}{2}\left(-\frac{2}{3}\right)\left(-12\right)$$

Divide 4 by 2 to get 2.

$$2\left(-\frac{2}{3}\right)\left(-12\right)$$

Express 2\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{2\left(-2\right)}{3}\left(-12\right)$$

Multiply 2 and -2 to get -4.

$$\frac{-4}{3}\left(-12\right)$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-\frac{4}{3}\left(-12\right)$$

Express -\frac{4}{3}\left(-12\right) as a single fraction.

$$\frac{-4\left(-12\right)}{3}$$

Multiply -4 and -12 to get 48.

$$\frac{48}{3}$$

Divide 48 by 3 to get 16.

$$16$$

Factor

$$2^{4}$$