Solve {l}{339}{81/7+31/9}

$$\left. \begin{array} { l } { 339 } \\ { 8 \frac { 1 } { 7 } + 3 \frac { 1 } { 9 } } \end{array} \right.$$

Sort

$$\frac{709}{63},339$$

Solution Steps

Multiply 8 and 7 to get 56.

$$sort(339,\frac{56+1}{7}+\frac{3\times 9+1}{9})$$

Add 56 and 1 to get 57.

$$sort(339,\frac{57}{7}+\frac{3\times 9+1}{9})$$

Multiply 3 and 9 to get 27.

$$sort(339,\frac{57}{7}+\frac{27+1}{9})$$

Add 27 and 1 to get 28.

$$sort(339,\frac{57}{7}+\frac{28}{9})$$

Least common multiple of 7 and 9 is 63. Convert \frac{57}{7} and \frac{28}{9} to fractions with denominator 63.

$$sort(339,\frac{513}{63}+\frac{196}{63})$$

Since \frac{513}{63} and \frac{196}{63} have the same denominator, add them by adding their numerators.

$$sort(339,\frac{513+196}{63})$$

Add 513 and 196 to get 709.

$$sort(339,\frac{709}{63})$$

Convert decimal numbers in the list 339,\frac{709}{63} to fractions.

$$339,\frac{709}{63}$$

To sort the list, start from a single element 339.

$$339$$

Insert \frac{709}{63} to the appropriate location in the new list.

$$\frac{709}{63},339$$

Evaluate

$$339,\ \frac{709}{63}$$