Solve 5div(-10/3)(-4/9)

$$5 \div ( - \frac { 10 } { 3 } ) ( - \frac { 4 } { 9 } )$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Divide 5 by -\frac{10}{3} by multiplying 5 by the reciprocal of -\frac{10}{3}.

$$5\left(-\frac{3}{10}\right)\left(-\frac{4}{9}\right)$$

Express 5\left(-\frac{3}{10}\right) as a single fraction.

$$\frac{5\left(-3\right)}{10}\left(-\frac{4}{9}\right)$$

Multiply 5 and -3 to get -15.

$$\frac{-15}{10}\left(-\frac{4}{9}\right)$$

Reduce the fraction \frac{-15}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{2}\left(-\frac{4}{9}\right)$$

Multiply -\frac{3}{2} times -\frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-4\right)}{2\times 9}$$

Do the multiplications in the fraction \frac{-3\left(-4\right)}{2\times 9}.

$$\frac{12}{18}$$

Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$