Solve -32/3div(-11/6)

$$- 3 \frac { 2 } { 3 } \div ( - 1 \frac { 1 } { 6 } )$$

Evaluate

$$\frac{22}{7}\approx 3.142857143$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{-\frac{9+2}{3}}{-\frac{1\times 6+1}{6}}$$

Add 9 and 2 to get 11.

$$\frac{-\frac{11}{3}}{-\frac{1\times 6+1}{6}}$$

Multiply 1 and 6 to get 6.

$$\frac{-\frac{11}{3}}{-\frac{6+1}{6}}$$

Add 6 and 1 to get 7.

$$\frac{-\frac{11}{3}}{-\frac{7}{6}}$$

Divide -\frac{11}{3} by -\frac{7}{6} by multiplying -\frac{11}{3} by the reciprocal of -\frac{7}{6}.

$$-\frac{11}{3}\left(-\frac{6}{7}\right)$$

Multiply -\frac{11}{3} times -\frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\left(-6\right)}{3\times 7}$$

Do the multiplications in the fraction \frac{-11\left(-6\right)}{3\times 7}.

$$\frac{66}{21}$$

Reduce the fraction \frac{66}{21} to lowest terms by extracting and canceling out 3.

$$\frac{22}{7}$$

Factor

$$\frac{2 \cdot 11}{7} = 3\frac{1}{7} = 3.142857142857143$$