0.101101101101101101101101101 as a fraction

0.101101101101101101101101101 as a fraction - solution and the full explanation with calculations.

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What is 0.101101101101101101101101101 as a fraction?


To write 0.101101101101101101101101101 as a fraction you have to write 0.101101101101101101101101101 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.
0.101101101101101101101101101 = 0.101101101101101101101101101/1 = 1.011011011011/10 = 10.11011011011/100 = 101.1011011011/1000 = 1011.011011011/10000 = 10110.11011011/100000 = 101101.1011011/1000000 = 1011011.011011/10000000 = 10110110.11011/100000000 = 101101101.1011/1000000000 = 1011011011.011/10000000000 = 10110110110.11/100000000000 = 101101101101.1/1000000000000 = 1011011011011/10000000000000

And finally we have:
0.101101101101101101101101101 as a fraction equals 1011011011011/10000000000000

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