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12 January, 09:30

How do you c

onvert the decimal expansion 0.1777 ... into a rational number. (simplify)

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  1. 12 January, 09:59
    0
    Step-by-step explanation:

    converting a repeating decimal to ratio of integers

    Hi,

    This is 0.1+0.077777=110+7100+71000 + ... where you have a GP to sum.

    Or Let x=0.0777 ... so that 10x=0.777 ...

    Subtracting gives 9x=0.7 and so x=790. Now just add 110+790 and simplify.
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