If u did that ...........term by term...........with the fractions.........a pattern emerges..................taking geo series..........................non overlapping ones.........................1/5 is next................1/4 is part of the halving series................2 to the 2 is four..........2 squared is 4.....................they are the fractions exponentiated............maybe how Euler came up with his product.............the primes always would form their geo series.............................b/c they would never be apart of another's fraction's geo series.....................................so..........like this...................1/2, 1/3, 1/5, 1/6, 1/7, 1/ 10............are the 6 fractions..............that are not part.......of another fraction's geo series.........................but 6 is not prime u say..........it isn't....................but 6 is not another term below it exponentiated...........3 squared is nine.............so 1/9 is part of 1/3 geo series.....................................any prime in a denominator is obviously eliminated...........but so are many other terms.......................exponents are different than multiplication.............multiplication is multiple addition...........exponents.............are multiple multiplication...........there is a difference........1/4, 1/8 and 1/9............are a part of the geo series of fractions before it...............they are contained in them.........like in set theory.........and therefore would not form their own.........hence my convoluted...........original geo series.......3 exceptions................6 fractions......forming geo series..................................6/3........or 3/6.....................like the beg of the degrees in a circle.............and spin............like full circle...........like the p.f.....itself.........2 - 11.........2 is like 11, and 11 is like two......1 + 1 = 2...............11 split in half...........like 1/2.........its famous line.........




“Nonsense, you gullible old toad!” you are perhaps shouting to your screen. “Why should throwing out the numbers with 9’s make such a difference? We’ve still got all the other numbers!”
Again, I say: not so fast. You’re making a classic mistake. When you think of “numbers,” you’re only picturing little numbers.
“No I’m not!” you may say. “I’m thinking of big numbers. Huge numbers. Like 9 million, or 47 billion, or 228 trillion.”
Exactly my point: small numbers.
You see, the longer a number gets, the harder it is to avoid a 9. Every time you add a digit, you add a new opportunity for a 9. That might not feel like a big danger—after all, those 9’s will pop up only 10% of the time. But look what happens: