0.010101010010101010101 as a fraction

0.010101010010101010101 as a fraction - solution and the full explanation with calculations.

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What is 0.010101010010101010101 as a fraction?


To write 0.010101010010101010101 as a fraction you have to write 0.010101010010101010101 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.
0.010101010010101010101 = 0.010101010010101010101/1 = 0.10101010010101/10 = 1.0101010010101/100 = 10.101010010101/1000 = 101.01010010101/10000 = 1010.1010010101/100000 = 10101.010010101/1000000 = 101010.10010101/10000000 = 1010101.0010101/100000000 = 10101010.010101/1000000000 = 101010100.10101/10000000000 = 1010101001.0101/100000000000 = 10101010010.101/1000000000000 = 101010100101.01/10000000000000 = 1010101001010.1/100000000000000 = 10101010010101/1000000000000000

And finally we have:
0.010101010010101010101 as a fraction equals 10101010010101/1000000000000000

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