Solve 4/9div-2/3

$$\frac{ 4 }{ 9 } \div - \frac{ 2 }{ 3 }$$

Evaluate

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

Solution Steps

Divide \frac{4}{9} by -\frac{2}{3} by multiplying \frac{4}{9} by the reciprocal of -\frac{2}{3}.

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

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

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

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

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

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

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

Factor

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