Solve -42/9div17/12

$$- 4 \frac { 2 } { 9 } \div 1 \frac { 7 } { 12 }$$

Evaluate

$$-\frac{8}{3}\approx -2.666666667$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{-\frac{36+2}{9}}{\frac{1\times 12+7}{12}}$$

Add 36 and 2 to get 38.

$$\frac{-\frac{38}{9}}{\frac{1\times 12+7}{12}}$$

Multiply 1 and 12 to get 12.

$$\frac{-\frac{38}{9}}{\frac{12+7}{12}}$$

Add 12 and 7 to get 19.

$$\frac{-\frac{38}{9}}{\frac{19}{12}}$$

Divide -\frac{38}{9} by \frac{19}{12} by multiplying -\frac{38}{9} by the reciprocal of \frac{19}{12}.

$$-\frac{38}{9}\times \frac{12}{19}$$

Multiply -\frac{38}{9} times \frac{12}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-38\times 12}{9\times 19}$$

Do the multiplications in the fraction \frac{-38\times 12}{9\times 19}.

$$\frac{-456}{171}$$

Reduce the fraction \frac{-456}{171} to lowest terms by extracting and canceling out 57.

$$-\frac{8}{3}$$

Factor

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$