10
—– = 0.123456790123456790123456790…
81
Repeating decimal: 0.123456790 (period 9)
The digit 8 is missing.
The easiest way to remedy this is to subtract 1/10^9,
(10/81) – 1/1000000000 = 9999999919/81000000000 = 0.123456789123456790123456790123456790
Notice that the first 9 is not followed by a 0 or a 10.
We can turn 10/81 into a very cool number:
10/81 – [(3340/3267) * (1/10^9)] = 0.12345678910111213141516171819202122232425262728293031323334353637
38394041424344454647484950515253545556…
The natural numbers 1, 2, 3, 4, …, 99 appear in this result.
Fun With Num3ers 