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23 March, 17:12

What is 2.161616 as a fraction?

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  1. 23 March, 20:19
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    repeating fraction, nice

    2.16161616 ... = 2+0.16161616 ...

    solve the repeating part

    let's say x=0.16161616

    2 places repeat, multiply x by 10^2 or 100

    100x=16.161616

    now subtract x from taht

    100x-x=16.161616-0.16161616

    the repeats cancel and we get

    99x=16

    divide both sides b 99

    x=16/99

    so

    16/99=0.16161616 ...

    2+16/99 is the fraction

    if ya wanted 1 fraction then

    2+16/99=

    198/99+16/99=

    214/99

    2.161616=214/99
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