1 1/9 , 1 1/6 , 1 3/12 , 0.01, 0.062

To compare the given numbers, we can convert them into decimal form.

1 1/9 = 1 + 1/9 = 9/9 + 1/9 = 10/9 = 1.11...
1 1/6 = 1 + 1/6 = 6/6 + 1/6 = 7/6 = 1.1666...
1 3/12 = 1 + 3/12 = 12/12 + 3/12 = 15/12 = 1.25
0.01 = 0.01
0.062 = 0.062

Now, let's compare them in ascending order:

0.01 < 0.062 < 1.11... < 1.1666... < 1.25

So, the numbers in ascending order are:

0.01, 0.062, 1 1/9, 1 1/6, 1 3/12