0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction

0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction - solution and the full explanation with calculations.

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What is 0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction?


To write 0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction you have to write 0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 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.
0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 = 0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111/1 = 1.1111111111111/10 = 11.111111111111/100 = 111.11111111111/1000 = 1111.1111111111/10000 = 11111.111111111/100000 = 111111.11111111/1000000 = 1111111.1111111/10000000 = 11111111.111111/100000000 = 111111111.11111/1000000000 = 1111111111.1111/10000000000 = 11111111111.111/100000000000 = 111111111111.11/1000000000000 = 1111111111111.1/10000000000000 = 11111111111111/100000000000000

And finally we have:
0.111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 as a fraction equals 11111111111111/100000000000000

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