Solve -(-2)(-2/3)(-1/2)(-5/6)(-3)=

$$- ( - 2 ) ( - \frac { 2 } { 3 } ) ( - \frac { 1 } { 2 } ) ( - \frac { 5 } { 6 } ) ( - 3 ) =$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

The opposite of -2 is 2.

$$2\left(-\frac{2}{3}\right)\left(-\frac{1}{2}\right)\left(-\frac{5}{6}\right)\left(-3\right)$$

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

$$\frac{2\left(-2\right)}{3}\left(-\frac{1}{2}\right)\left(-\frac{5}{6}\right)\left(-3\right)$$

Multiply 2 and -2 to get -4.

$$\frac{-4}{3}\left(-\frac{1}{2}\right)\left(-\frac{5}{6}\right)\left(-3\right)$$

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

$$-\frac{4}{3}\left(-\frac{1}{2}\right)\left(-\frac{5}{6}\right)\left(-3\right)$$

Multiply -\frac{4}{3} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-1\right)}{3\times 2}\left(-\frac{5}{6}\right)\left(-3\right)$$

Do the multiplications in the fraction \frac{-4\left(-1\right)}{3\times 2}.

$$\frac{4}{6}\left(-\frac{5}{6}\right)\left(-3\right)$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\left(-\frac{5}{6}\right)\left(-3\right)$$

Multiply \frac{2}{3} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-5\right)}{3\times 6}\left(-3\right)$$

Do the multiplications in the fraction \frac{2\left(-5\right)}{3\times 6}.

$$\frac{-10}{18}\left(-3\right)$$

Reduce the fraction \frac{-10}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{9}\left(-3\right)$$

Express -\frac{5}{9}\left(-3\right) as a single fraction.

$$\frac{-5\left(-3\right)}{9}$$

Multiply -5 and -3 to get 15.

$$\frac{15}{9}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$