Solve {r}{400}{200}hline600{-314/286}hline286

$$\left. \begin{array} { r } { 400 } \\ { 200 } \\ \hline 600 \\ { - \frac { 314 } { 286 } } \\ \hline 286 \end{array} \right.$$

Sort

$$-\frac{157}{143},200,286,400,600$$

Solution Steps

Reduce the fraction \frac{314}{286} to lowest terms by extracting and canceling out 2.

$$sort(400,200,600,-\frac{157}{143},286)$$

Convert decimal numbers in the list 400,200,600,-\frac{157}{143},286 to fractions.

$$400,200,600,-\frac{157}{143},286$$

To sort the list, start from a single element 400.

$$400$$

Insert 200 to the appropriate location in the new list.

$$200,400$$

Insert 600 to the appropriate location in the new list.

$$200,400,600$$

Insert -\frac{157}{143} to the appropriate location in the new list.

$$-\frac{157}{143},200,400,600$$

Insert 286 to the appropriate location in the new list.

$$-\frac{157}{143},200,286,400,600$$

Evaluate

$$400,\ 200,\ 600,\ -\frac{157}{143},\ 286$$