Solve -12/9div(-51/3)

$$-1 \frac{ 2 }{ 9 } \div (-5 \frac{ 1 }{ 3 } )$$

Evaluate

$$\frac{11}{48}\approx 0.229166667$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{-\frac{9+2}{9}}{-\frac{5\times 3+1}{3}}$$

Add 9 and 2 to get 11.

$$\frac{-\frac{11}{9}}{-\frac{5\times 3+1}{3}}$$

Multiply 5 and 3 to get 15.

$$\frac{-\frac{11}{9}}{-\frac{15+1}{3}}$$

Add 15 and 1 to get 16.

$$\frac{-\frac{11}{9}}{-\frac{16}{3}}$$

Divide -\frac{11}{9} by -\frac{16}{3} by multiplying -\frac{11}{9} by the reciprocal of -\frac{16}{3}.

$$-\frac{11}{9}\left(-\frac{3}{16}\right)$$

Multiply -\frac{11}{9} times -\frac{3}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\left(-3\right)}{9\times 16}$$

Do the multiplications in the fraction \frac{-11\left(-3\right)}{9\times 16}.

$$\frac{33}{144}$$

Reduce the fraction \frac{33}{144} to lowest terms by extracting and canceling out 3.

$$\frac{11}{48}$$

Factor

$$\frac{11}{2 ^ {4} \cdot 3} = 0.22916666666666666$$