Solve -85/9div42/3

$$- 8 \frac { 5 } { 9 } \div 4 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{-\frac{72+5}{9}}{\frac{4\times 3+2}{3}}$$

Add 72 and 5 to get 77.

$$\frac{-\frac{77}{9}}{\frac{4\times 3+2}{3}}$$

Multiply 4 and 3 to get 12.

$$\frac{-\frac{77}{9}}{\frac{12+2}{3}}$$

Add 12 and 2 to get 14.

$$\frac{-\frac{77}{9}}{\frac{14}{3}}$$

Divide -\frac{77}{9} by \frac{14}{3} by multiplying -\frac{77}{9} by the reciprocal of \frac{14}{3}.

$$-\frac{77}{9}\times \frac{3}{14}$$

Multiply -\frac{77}{9} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-77\times 3}{9\times 14}$$

Do the multiplications in the fraction \frac{-77\times 3}{9\times 14}.

$$\frac{-231}{126}$$

Reduce the fraction \frac{-231}{126} to lowest terms by extracting and canceling out 21.

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

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$