arrange 3/4, 1 1/6, 10/13, 1 1/3, 67/100 from smallest to largest

I would use 4*3*14*100 as a common denominator (there may be a smaller one) and convert all of the fractions to that. For example

3/4 is 3*15,600/4 = 11,700/15600.
1 1/6 = 7/6 is
3*15,600/6 = 18200/15600
etc.