Solve -11/2div-2/9

$$- 1 \frac { 1 } { 2 } \div - \frac{ 2 }{ 9 }$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{-\frac{2+1}{2}}{-\frac{2}{9}}$$

Add 2 and 1 to get 3.

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

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

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

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

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

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

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$