The way you simplifly 3/9 is by looking at the fact that 9 can be divided by 3.
One way to do this is to write 3/3x3 and then cancel out the 3's in the numerator and denominator so you have 1/3.
The other is so say 3 goes into itself once,and into 9 three times so 3/9 is 1/3.
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6 over 9 or 2 over 3. (if you simplify)
Your question is susceptible to differing interpretations. 8 and 58/9ths is not properly expressed at all, but is simplified to 14 and 4/9ths. On the other hand 66/9ths (which is 8 and 58) is simplified to 7 and 1/3rd.
87 9ths in a mixed number = 92/3
3/9 of 1.80 is 0.6
17/51 or 111/333