Solve 8/9,5/6,7/9,13/18

$$\frac { 8 } { 9 } , \frac { 5 } { 6 } , \frac { 7 } { 9 } , \frac { 13 } { 18 }$$

Sort

$$\frac{13}{18},\frac{7}{9},\frac{5}{6},\frac{8}{9}$$

Solution Steps

Least common denominator of the numbers in the list \frac{8}{9},\frac{5}{6},\frac{7}{9},\frac{13}{18} is 18. Convert numbers in the list to fractions with denominator 18.

$$\frac{16}{18},\frac{15}{18},\frac{14}{18},\frac{13}{18}$$

To sort the list, start from a single element \frac{16}{18}.

$$\frac{16}{18}$$

Insert \frac{15}{18} to the appropriate location in the new list.

$$\frac{15}{18},\frac{16}{18}$$

Insert \frac{14}{18} to the appropriate location in the new list.

$$\frac{14}{18},\frac{15}{18},\frac{16}{18}$$

Insert \frac{13}{18} to the appropriate location in the new list.

$$\frac{13}{18},\frac{14}{18},\frac{15}{18},\frac{16}{18}$$

Replace the obtained fractions with the initial values.

$$\frac{13}{18},\frac{7}{9},\frac{5}{6},\frac{8}{9}$$

Evaluate

$$\frac{8}{9},\frac{5}{6},\frac{7}{9},\frac{13}{18}$$