This doesn’t *exactly* answer the question, but I discovered this pattern as a kid playing with a calculator:
1/9 = 0.1111…
2/9 = 0.2222…
3/9 = 0.3333…
4/9 = 0.4444…
5/9 = 0.5555…
6/9 = 0.6666…
7/9 = 0.7777…
8/9 = 0.8888…
Cool, right? So, by that pattern, you’d expect that 9/9 would equal 0.9999… But remember your math: any number divided by itself is 1, so 9/9 = 1. So if the pattern holds true, then 0.9999… = 1
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