Solve -21/6div18/9

$$- 2 \frac { 1 } { 6 } \div 1 \frac { 8 } { 9 }$$

Evaluate

$$-\frac{39}{34}\approx -1.147058824$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{-\frac{12+1}{6}}{\frac{1\times 9+8}{9}}$$

Add 12 and 1 to get 13.

$$\frac{-\frac{13}{6}}{\frac{1\times 9+8}{9}}$$

Multiply 1 and 9 to get 9.

$$\frac{-\frac{13}{6}}{\frac{9+8}{9}}$$

Add 9 and 8 to get 17.

$$\frac{-\frac{13}{6}}{\frac{17}{9}}$$

Divide -\frac{13}{6} by \frac{17}{9} by multiplying -\frac{13}{6} by the reciprocal of \frac{17}{9}.

$$-\frac{13}{6}\times \frac{9}{17}$$

Multiply -\frac{13}{6} times \frac{9}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-13\times 9}{6\times 17}$$

Do the multiplications in the fraction \frac{-13\times 9}{6\times 17}.

$$\frac{-117}{102}$$

Reduce the fraction \frac{-117}{102} to lowest terms by extracting and canceling out 3.

$$-\frac{39}{34}$$

Factor

$$-\frac{39}{34} = -1\frac{5}{34} = -1.1470588235294117$$