Option 1 : \({4 \ \over 7}, {3\ \over 5}, {9\ \over 11}, {7 \ \over 8}\)

Given:

Fractions are 4/7, 9/11, 3/5 and 7/8

Calculation:

L.C.M are 7, 11, 5 and 8 is 3080

So, \( {4 \over 7} = {1760\over 3080} \)

\( {9 \ \over 11} = { 2520\ \over 3080}\)

\( {3 \ \over 5} = {1848\ \over 3080}\)

\( {7\ \over 8} = {2695 \ \over 3080}\)

So, from the above fractions, we conclude that

\( {4 \over 7} = {1760\over 3080} \) > \( {3 \ \over 5} = {1848\ \over 3080}\) > \( {9 \ \over 11} = { 2520\ \over 3080}\) > \( {7\ \over 8} = {2695 \ \over 3080}\)

∴ The given fractions in **ascending** order are 4/7, 3/5, 9/11, 7/8

__Alternate Method__

As. 4/7 = 0.57142, 3/5 = 0.6, 9/11 = 0.8181 and 7/8 = 0.875

∴ The given fractions in **ascending** order are 4/7, 3/5, 9/11, 7/8