Solve {r}{78/9}{26/5}

$$\left. \begin{array} { r } { 7 \frac { 8 } { 9 } } \\ { 2 \frac { 6 } { 5 } } \end{array} \right.$$

Sort

$$\frac{16}{5},\frac{71}{9}$$

Solution Steps

Multiply 7 and 9 to get 63.

$$sort(\frac{63+8}{9},\frac{2\times 5+6}{5})$$

Add 63 and 8 to get 71.

$$sort(\frac{71}{9},\frac{2\times 5+6}{5})$$

Multiply 2 and 5 to get 10.

$$sort(\frac{71}{9},\frac{10+6}{5})$$

Add 10 and 6 to get 16.

$$sort(\frac{71}{9},\frac{16}{5})$$

Least common denominator of the numbers in the list \frac{71}{9},\frac{16}{5} is 45. Convert numbers in the list to fractions with denominator 45.

$$\frac{355}{45},\frac{144}{45}$$

To sort the list, start from a single element \frac{355}{45}.

$$\frac{355}{45}$$

Insert \frac{144}{45} to the appropriate location in the new list.

$$\frac{144}{45},\frac{355}{45}$$

Replace the obtained fractions with the initial values.

$$\frac{16}{5},\frac{71}{9}$$

Evaluate

$$\frac{71}{9},\ \frac{16}{5}$$