Calculate the decimal number for each fraction and identify the ascending numerical order of the decimal numbers:

5/8, 1/4, 3/8, 2/3, 6/7

To calculate the decimal number for each fraction, you need to divide the numerator by the denominator.

For 5/8:
5 ÷ 8 = 0.625

For 1/4:
1 ÷ 4 = 0.25

For 3/8:
3 ÷ 8 = 0.375

For 2/3:
2 ÷ 3 = 0.666...

For 6/7:
6 ÷ 7 = 0.8571428571428571

Now, let's identify the ascending numerical order of these decimal numbers:

0.25, 0.375, 0.625, 0.666..., 0.8571428571428571