Solve 8/25,7/23,11/23,14/53

$$\frac { 8 } { 25 } , \frac { 7 } { 23 } , \frac { 11 } { 23 } , \frac { 14 } { 53 }$$

Sort

$$\frac{14}{53},\frac{7}{23},\frac{8}{25},\frac{11}{23}$$

Solution Steps

Least common denominator of the numbers in the list \frac{8}{25},\frac{7}{23},\frac{11}{23},\frac{14}{53} is 30475. Convert numbers in the list to fractions with denominator 30475.

$$\frac{9752}{30475},\frac{9275}{30475},\frac{14575}{30475},\frac{8050}{30475}$$

To sort the list, start from a single element \frac{9752}{30475}.

$$\frac{9752}{30475}$$

Insert \frac{9275}{30475} to the appropriate location in the new list.

$$\frac{9275}{30475},\frac{9752}{30475}$$

Insert \frac{14575}{30475} to the appropriate location in the new list.

$$\frac{9275}{30475},\frac{9752}{30475},\frac{14575}{30475}$$

Insert \frac{8050}{30475} to the appropriate location in the new list.

$$\frac{8050}{30475},\frac{9275}{30475},\frac{9752}{30475},\frac{14575}{30475}$$

Replace the obtained fractions with the initial values.

$$\frac{14}{53},\frac{7}{23},\frac{8}{25},\frac{11}{23}$$

Evaluate

$$\frac{8}{25},\frac{7}{23},\frac{11}{23},\frac{14}{53}$$