Solve {l}{243/32}{12/12}{12/21}{250/343}

$$\left. \begin{array} { l } { \frac { 243 } { 32 } } \\ { \frac { 12 } { 12 } } \\ { \frac { 12 } { 21 } } \\ { \frac { 250 } { 343 } } \end{array} \right.$$

Sort

$$\frac{4}{7},\frac{250}{343},1,\frac{243}{32}$$

Solution Steps

Divide 12 by 12 to get 1.

$$sort(\frac{243}{32},1,\frac{12}{21},\frac{250}{343})$$

Reduce the fraction \frac{12}{21} to lowest terms by extracting and canceling out 3.

$$sort(\frac{243}{32},1,\frac{4}{7},\frac{250}{343})$$

Convert decimal numbers in the list \frac{243}{32},1,\frac{4}{7},\frac{250}{343} to fractions.

$$\frac{243}{32},1,\frac{4}{7},\frac{250}{343}$$

Least common denominator of the numbers in the list \frac{243}{32},1,\frac{4}{7},\frac{250}{343} is 10976. Convert numbers in the list to fractions with denominator 10976.

$$\frac{83349}{10976},\frac{10976}{10976},\frac{6272}{10976},\frac{8000}{10976}$$

To sort the list, start from a single element \frac{83349}{10976}.

$$\frac{83349}{10976}$$

Insert \frac{10976}{10976} to the appropriate location in the new list.

$$\frac{10976}{10976},\frac{83349}{10976}$$

Insert \frac{6272}{10976} to the appropriate location in the new list.

$$\frac{6272}{10976},\frac{10976}{10976},\frac{83349}{10976}$$

Insert \frac{8000}{10976} to the appropriate location in the new list.

$$\frac{6272}{10976},\frac{8000}{10976},\frac{10976}{10976},\frac{83349}{10976}$$

Replace the obtained fractions with the initial values.

$$\frac{4}{7},\frac{250}{343},1,\frac{243}{32}$$

Evaluate

$$\frac{243}{32},\ 1,\ \frac{4}{7},\ \frac{250}{343}$$