Solve (+1/2)*(-2/3)*(-6/3)*(+2/3)*5

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

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

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

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

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

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

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

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

Divide 6 by 3 to get 2.

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

Express -\frac{1}{3}\left(-2\right) as a single fraction.

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

Multiply -1 and -2 to get 2.

$$\frac{2}{3}\times \frac{2}{3}\times 5$$

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

$$\frac{2\times 2}{3\times 3}\times 5$$

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

$$\frac{4}{9}\times 5$$

Express \frac{4}{9}\times 5 as a single fraction.

$$\frac{4\times 5}{9}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$