Solve -80/81/-frac{2{3}}

$$\frac{ - \frac{ 80 }{ 81 } }{ - \frac{ 2 }{ 3 } }$$

Evaluate

$$\frac{40}{27}\approx 1.481481481$$

Solution Steps

Divide -\frac{80}{81} by -\frac{2}{3} by multiplying -\frac{80}{81} by the reciprocal of -\frac{2}{3}.

$$-\frac{80}{81}\left(-\frac{3}{2}\right)$$

Multiply -\frac{80}{81} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-80\left(-3\right)}{81\times 2}$$

Do the multiplications in the fraction \frac{-80\left(-3\right)}{81\times 2}.

$$\frac{240}{162}$$

Reduce the fraction \frac{240}{162} to lowest terms by extracting and canceling out 6.

$$\frac{40}{27}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {3}} = 1\frac{13}{27} = 1.4814814814814814$$