Solve {l}{3456div6}{3455div5}{9356div23}{8563div17}

$$\left. \begin{array} { l } { 3456 \div 6 } \\ { 3455 \div 5 } \\ { 9356 \div 23 } \\ { 8563 \div 17 } \end{array} \right.$$

Sort

$$\frac{9356}{23},\frac{8563}{17},576,691$$

Solution Steps

Divide 3456 by 6 to get 576.

$$sort(576,\frac{3455}{5},\frac{9356}{23},\frac{8563}{17})$$

Divide 3455 by 5 to get 691.

$$sort(576,691,\frac{9356}{23},\frac{8563}{17})$$

Convert decimal numbers in the list 576,691,\frac{9356}{23},\frac{8563}{17} to fractions.

$$576,691,\frac{9356}{23},\frac{8563}{17}$$

Least common denominator of the numbers in the list 576,691,\frac{9356}{23},\frac{8563}{17} is 391. Convert numbers in the list to fractions with denominator 391.

$$\frac{225216}{391},\frac{270181}{391},\frac{159052}{391},\frac{196949}{391}$$

To sort the list, start from a single element \frac{225216}{391}.

$$\frac{225216}{391}$$

Insert \frac{270181}{391} to the appropriate location in the new list.

$$\frac{225216}{391},\frac{270181}{391}$$

Insert \frac{159052}{391} to the appropriate location in the new list.

$$\frac{159052}{391},\frac{225216}{391},\frac{270181}{391}$$

Insert \frac{196949}{391} to the appropriate location in the new list.

$$\frac{159052}{391},\frac{196949}{391},\frac{225216}{391},\frac{270181}{391}$$

Replace the obtained fractions with the initial values.

$$\frac{9356}{23},\frac{8563}{17},576,691$$

Evaluate

$$576,\ 691,\ \frac{9356}{23},\ \frac{8563}{17}$$