identify the numerical order of these fractions and mixed numbers from smallest to largest: 1 3/6, 2 3/5, 7/9, 1 7/8

To identify the numerical order of these fractions and mixed numbers from smallest to largest, we need to convert them all to either improper fractions or decimals. Let's convert them all to improper fractions:

1 3/6 = (1 * 6 + 3)/6 = 9/6
2 3/5 = (2 * 5 + 3)/5 = 13/5
1 7/8 = (1 * 8 + 7)/8 = 15/8

Now, we can compare them:

7/9, 9/6, 13/5, 15/8

To compare fractions, we find a common denominator and compare the numerators.

7/9 = 56/72
9/6 = 54/72
13/5 = 93/72
15/8 = 135/72

Therefore, in numerical order from smallest to largest:

54/72 = 9/6 = 1 3/6
56/72 = 7/9
93/72 = 2 3/5
135/72 = 1 7/8

So, the numerical order is:

1 3/6, 7/9, 2 3/5, 1 7/8