Solve {l}{8213*30-12240:30}{11110:12076-20561}

$$\left. \begin{array} { l } { 8213 \cdot 30 - 12240 : 30 } \\ { 11110 : 12076 - 20561 } \end{array} \right.$$

Sort

$$-\frac{124141763}{6038},245982$$

Solution Steps

Multiply 8213 and 30 to get 246390.

$$sort(246390-\frac{12240}{30},\frac{11110}{12076}-20561)$$

Divide 12240 by 30 to get 408.

$$sort(246390-408,\frac{11110}{12076}-20561)$$

Subtract 408 from 246390 to get 245982.

$$sort(245982,\frac{11110}{12076}-20561)$$

Reduce the fraction \frac{11110}{12076} to lowest terms by extracting and canceling out 2.

$$sort(245982,\frac{5555}{6038}-20561)$$

Convert 20561 to fraction \frac{124147318}{6038}.

$$sort(245982,\frac{5555}{6038}-\frac{124147318}{6038})$$

Since \frac{5555}{6038} and \frac{124147318}{6038} have the same denominator, subtract them by subtracting their numerators.

$$sort(245982,\frac{5555-124147318}{6038})$$

Subtract 124147318 from 5555 to get -124141763.

$$sort(245982,-\frac{124141763}{6038})$$

Convert decimal numbers in the list 245982,-\frac{124141763}{6038} to fractions.

$$245982,-\frac{124141763}{6038}$$

To sort the list, start from a single element 245982.

$$245982$$

Insert -\frac{124141763}{6038} to the appropriate location in the new list.

$$-\frac{124141763}{6038},245982$$

Evaluate

$$245982,\ -\frac{124141763}{6038}$$