First, rewrite 4 over 5 and 5 over 6 so that they have a common denominator.

Then, use <, > , or = to order 4 over 5 and 5 over 6 .

To rewrite 4 over 5 and 5 over 6 with a common denominator, we need to find the least common multiple (LCM) of the denominators 5 and 6, which is 30.

4 over 5 is equivalent to 24 over 30 (since 4 multiplied by 6 equals 24).
5 over 6 is equivalent to 25 over 30 (since 5 multiplied by 5 equals 25).

Now, we can compare the fractions:

24 over 30 < 25 over 30.

Therefore, 4 over 5 is less than 5 over 6.