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21 December, 03:57

What is 0.21212121 ... as a fraction

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Answers (2)
  1. 21 December, 04:55
    0
    If numbers repeat, it's problby divided by 9 or some multipule of 9

    if 2 numbers repeat, it's probbalby divided by 99

    like 0. abababababab=ab/99

    so

    0.21212121

    21 repeats

    so it is 21/99 or 7/33
  2. 21 December, 05:22
    0
    If we make the number equal to x ...

    0.21212121 ... = x

    multiply each side by 100

    21.212121 ... = 100x

    remember that x is 0.21212121? we can subtract that now from 21.21212121, as well as x from 100.

    21.212121 ... - 0.212121 ... = 100x - x

    we are left with 21 = 99x

    21 = 99x

    simplify ...

    7 = 33x

    and divide!

    7/33 = x

    Your answer is: 0.2121212121 ... = 7/33
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