Solve {l}{-21/6div18/9}{1quad8}

$$\left. \begin{array} { l } { - 2 \frac { 1 } { 6 } \div 1 \frac { 8 } { 9 } } \\ { 1 \quad 8 } \end{array} \right.$$

Sort

$$-\frac{39}{34},\ 18$$

Solution Steps

Multiply 2 and 6 to get 12.

$$sort(\frac{-\frac{12+1}{6}}{\frac{1\times 9+8}{9}},18)$$

Add 12 and 1 to get 13.

$$sort(\frac{-\frac{13}{6}}{\frac{1\times 9+8}{9}},18)$$

Multiply 1 and 9 to get 9.

$$sort(\frac{-\frac{13}{6}}{\frac{9+8}{9}},18)$$

Add 9 and 8 to get 17.

$$sort(\frac{-\frac{13}{6}}{\frac{17}{9}},18)$$

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

$$sort(-\frac{13}{6}\times \frac{9}{17},18)$$

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

$$sort(\frac{-13\times 9}{6\times 17},18)$$

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

$$sort(\frac{-117}{102},18)$$

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

$$sort(-\frac{39}{34},18)$$

Convert decimal numbers in the list -\frac{39}{34},18 to fractions.

$$-\frac{39}{34},18$$

Evaluate

$$-\frac{39}{34},\ 18$$