Solve {l}{text{(1)}126div3-250div125}{text{(1)}126/-4div3-250div125}

$$\left. \begin{array} { l } { \text { (1) } 126 \div 3 - 250 \div 125 } \\ { \text { (1) } \frac { 126 } { - 4 } \div 3 - 250 \div 125 } \end{array} \right.$$

Sort

$$-\frac{25}{2},40$$

Solution Steps

Multiply 1 and 126 to get 126.

$$sort(\frac{126}{3}-\frac{250}{125},\frac{1\times \frac{126}{-4}}{3}-\frac{250}{125})$$

Divide 126 by 3 to get 42.

$$sort(42-\frac{250}{125},\frac{1\times \frac{126}{-4}}{3}-\frac{250}{125})$$

Divide 250 by 125 to get 2.

$$sort(42-2,\frac{1\times \frac{126}{-4}}{3}-\frac{250}{125})$$

Subtract 2 from 42 to get 40.

$$sort(40,\frac{1\times \frac{126}{-4}}{3}-\frac{250}{125})$$

Reduce the fraction \frac{126}{-4} to lowest terms by extracting and canceling out 2.

$$sort(40,\frac{1\left(-\frac{63}{2}\right)}{3}-\frac{250}{125})$$

Multiply 1 and -\frac{63}{2} to get -\frac{63}{2}.

$$sort(40,\frac{-\frac{63}{2}}{3}-\frac{250}{125})$$

Express \frac{-\frac{63}{2}}{3} as a single fraction.

$$sort(40,\frac{-63}{2\times 3}-\frac{250}{125})$$

Multiply 2 and 3 to get 6.

$$sort(40,\frac{-63}{6}-\frac{250}{125})$$

Reduce the fraction \frac{-63}{6} to lowest terms by extracting and canceling out 3.

$$sort(40,-\frac{21}{2}-\frac{250}{125})$$

Divide 250 by 125 to get 2.

$$sort(40,-\frac{21}{2}-2)$$

Convert 2 to fraction \frac{4}{2}.

$$sort(40,-\frac{21}{2}-\frac{4}{2})$$

Since -\frac{21}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$sort(40,\frac{-21-4}{2})$$

Subtract 4 from -21 to get -25.

$$sort(40,-\frac{25}{2})$$

Convert decimal numbers in the list 40,-\frac{25}{2} to fractions.

$$40,-\frac{25}{2}$$

To sort the list, start from a single element 40.

$$40$$

Insert -\frac{25}{2} to the appropriate location in the new list.

$$-\frac{25}{2},40$$

Evaluate

$$40,\ -\frac{25}{2}$$