0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 as a fraction

0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 as a fraction - solution and the full expl

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What is 0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 as a fraction?


To write 0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 as a fraction you have to write 0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 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.
0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 = 0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949/1 = 4.9494949494949/10 = 49.494949494949/100 = 494.94949494949/1000 = 4949.4949494949/10000 = 49494.949494949/100000 = 494949.49494949/1000000 = 4949494.9494949/10000000 = 49494949.494949/100000000 = 494949494.94949/1000000000 = 4949494949.4949/10000000000 = 49494949494.949/100000000000 = 494949494949.49/1000000000000 = 4949494949494.9/10000000000000 = 49494949494949/100000000000000

And finally we have:
0.494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949 as a fraction equals 49494949494949/100000000000000

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