To identify the ascending numerical order of the decimals and fractions, we need to compare their values.
First, let's convert all the mixed numbers to improper fractions:
1 1/9 = (9 * 1 + 1) / 9 = 10/9
1 ⅙ = (6 * 1 + 1) / 6 = 7/6
1 3/12 = (12 * 1 + 3) / 12 = 15/12 = 5/4
Now let's compare the values:
0.062 < 1/9 < 1/6 < 0.01 < 5/4
Converting the fractions to decimals:
1/9 = 0.111 recurring
1/6 = 0.166 recurring
5/4 = 1.25
Based on the comparisons, the ascending numerical order of the decimals and fractions is:
0.062 , 1/9 , 1/6 , 0.01 , 5/4