Solve {l}{17/18/718}{(1/18)17/1}

$$\left. \begin{array} { l } { \frac { 17 } { 18 / 718 } } \\ { ( \frac { 1 } { 18 } ) \frac { 17 } { 1 } } \end{array} \right.$$

Sort

$$\frac{17}{18},\frac{6103}{9}$$

Solution Steps

Divide 17 by \frac{18}{718} by multiplying 17 by the reciprocal of \frac{18}{718}.

$$sort(\frac{17\times 718}{18},\frac{1}{18}\times \frac{17}{1})$$

Multiply 17 and 718 to get 12206.

$$sort(\frac{12206}{18},\frac{1}{18}\times \frac{17}{1})$$

Reduce the fraction \frac{12206}{18} to lowest terms by extracting and canceling out 2.

$$sort(\frac{6103}{9},\frac{1}{18}\times \frac{17}{1})$$

Anything divided by one gives itself.

$$sort(\frac{6103}{9},\frac{1}{18}\times 17)$$

Multiply \frac{1}{18} and 17 to get \frac{17}{18}.

$$sort(\frac{6103}{9},\frac{17}{18})$$

Least common denominator of the numbers in the list \frac{6103}{9},\frac{17}{18} is 18. Convert numbers in the list to fractions with denominator 18.

$$\frac{12206}{18},\frac{17}{18}$$

To sort the list, start from a single element \frac{12206}{18}.

$$\frac{12206}{18}$$

Insert \frac{17}{18} to the appropriate location in the new list.

$$\frac{17}{18},\frac{12206}{18}$$

Replace the obtained fractions with the initial values.

$$\frac{17}{18},\frac{6103}{9}$$

Evaluate

$$\frac{6103}{9},\ \frac{17}{18}$$