0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 as a fraction

0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 as a fraction - solution and the full explanation with calculations.

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What is 0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 as a fraction?


To write 0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 as a fraction you have to write 0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 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.
0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 = 0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555/1 = 0.55555555555556/10 = 5.5555555555556/100 = 55.555555555556/1000 = 555.55555555556/10000 = 5555.5555555556/100000 = 55555.555555556/1000000 = 555555.55555556/10000000 = 5555555.5555556/100000000 = 55555555.555556/1000000000 = 555555555.55556/10000000000 = 5555555555.5556/100000000000 = 55555555555.556/1000000000000 = 555555555555.56/10000000000000 = 5555555555555.6/100000000000000 = 55555555555556/1000000000000000

And finally we have:
0.05555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555 as a fraction equals 55555555555556/1000000000000000

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