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As a terminating decimal, 0.99999999999999 = 99999999999999/100000000000000

If that is a repeating decimal 0.999..., then:

let x = 0.999...

Multiplying both sides by 10 gives:

10x = 9.999...

Subtracting the original gives:

10x - x = 9.999... - 0.999...

→ 9x = 9

→ x = 1

So 0.999... repeating is the same as 1.

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Q: What is 0.99999999999999 as a fraction?
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