Solve {l}{5*7/6}{894*77}{+8/9}{(7934)}

$$\left. \begin{array} { l } { 5 \times 7 / 6 } \\ { 894 \times 77 } \\ { + 8 / 9 } \\ { ( 7934 ) } \end{array} \right.$$

Sort

$$\frac{8}{9},\frac{35}{6},7934,68838$$

Solution Steps

Express 5\times \frac{7}{6} as a single fraction.

$$sort(\frac{5\times 7}{6},894\times 77,\frac{8}{9},7934)$$

Multiply 5 and 7 to get 35.

$$sort(\frac{35}{6},894\times 77,\frac{8}{9},7934)$$

Multiply 894 and 77 to get 68838.

$$sort(\frac{35}{6},68838,\frac{8}{9},7934)$$

Convert decimal numbers in the list \frac{35}{6},68838,\frac{8}{9},7934 to fractions.

$$\frac{35}{6},68838,\frac{8}{9},7934$$

Least common denominator of the numbers in the list \frac{35}{6},68838,\frac{8}{9},7934 is 18. Convert numbers in the list to fractions with denominator 18.

$$\frac{105}{18},\frac{1239084}{18},\frac{16}{18},\frac{142812}{18}$$

To sort the list, start from a single element \frac{105}{18}.

$$\frac{105}{18}$$

Insert \frac{1239084}{18} to the appropriate location in the new list.

$$\frac{105}{18},\frac{1239084}{18}$$

Insert \frac{16}{18} to the appropriate location in the new list.

$$\frac{16}{18},\frac{105}{18},\frac{1239084}{18}$$

Insert \frac{142812}{18} to the appropriate location in the new list.

$$\frac{16}{18},\frac{105}{18},\frac{142812}{18},\frac{1239084}{18}$$

Replace the obtained fractions with the initial values.

$$\frac{8}{9},\frac{35}{6},7934,68838$$

Evaluate

$$\frac{35}{6},\ 68838,\ \frac{8}{9},\ 7934$$