Personally i like 1/7 = 0,142857(142857)...
We see that that the the two first decimals are 14 (7*2) followed by 28 (14*2) followed by 57 (28*2+1). Closely related are 22/7, used to approximate pi. 22/7 = 3,142857(142857)...
Other well known fractions are: 1/3 =0,33(3)...; 1/9=0,11(1)...; 1/11 = 0,0909(09)...; 1/6 = 0,166(6)...; and 1/14 = 0,07142857(714285)...
$${\frac{{\mathtt{1}}}{{\mathtt{81}}}} = {\mathtt{0.012\: \!345\: \!679\: \!012\: \!345\: \!7}}$$
Oh ok. I see.
This pattern works with $${\frac{{\mathtt{1}}}{{{\mathtt{99}}}^{{\mathtt{2}}}}}$$ which gives all the 2 digit numbers - 1 of them.
RADIO......I love this kind of stuff .....note another couple of neat ones you might find interesting.........
10000/993 = .0103061015212836 ........each pair of digits, starting from the left, is the sum of the first n digits (it fails after awhile!!)
1/9899 = .0001010203050813 ........each pair of digits, starting from the left, begins the Fibonacci series [00 being Fib(0) ]
Personally i like 1/7 = 0,142857(142857)...
We see that that the the two first decimals are 14 (7*2) followed by 28 (14*2) followed by 57 (28*2+1). Closely related are 22/7, used to approximate pi. 22/7 = 3,142857(142857)...
Other well known fractions are: 1/3 =0,33(3)...; 1/9=0,11(1)...; 1/11 = 0,0909(09)...; 1/6 = 0,166(6)...; and 1/14 = 0,07142857(714285)...