0.101010101010101010101 as a fraction

0.101010101010101010101 as a fraction - solution and the full explanation with calculations.

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What is 0.101010101010101010101 as a fraction?


To write 0.101010101010101010101 as a fraction you have to write 0.101010101010101010101 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.
0.101010101010101010101 = 0.101010101010101010101/1 = 1.010101010101/10 = 10.10101010101/100 = 101.0101010101/1000 = 1010.101010101/10000 = 10101.01010101/100000 = 101010.1010101/1000000 = 1010101.010101/10000000 = 10101010.10101/100000000 = 101010101.0101/1000000000 = 1010101010.101/10000000000 = 10101010101.01/100000000000 = 101010101010.1/1000000000000 = 1010101010101/10000000000000

And finally we have:
0.101010101010101010101 as a fraction equals 1010101010101/10000000000000

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