.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998899999999999999999899999999999999999989999999999999999998

.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998899999999999999999899999999999999999989999999999999999998

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What is .9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999889999999999999999989999999999999999998999999999999999999899999999999999999999992 as a fraction?


To write .9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999889999999999999999989999999999999999998999999999999999999899999999999999999999992 as a fraction you have to write .9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999889999999999999999989999999999999999998999999999999999999899999999999999999999992 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999889999999999999999989999999999999999998999999999999999999899999999999999999999992 = .9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999889999999999999999989999999999999999998999999999999999999899999999999999999999992/1 = 10/10

And finally we have:
.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999889999999999999999989999999999999999998999999999999999999899999999999999999999992 as a fraction equals 10/10

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