how do you convert repeating decimals to fractions? ?

how would you convert a repeating decimal like... 1.27 or 0.6!?

please list all steps to this process.... i really need your help!

its for a grade tomorrow and i dont get it at all!!

PLEASE PLEASE PLEASE PLEASE!!! HELP ME!

3 Answers

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  • 1 decade ago
    Favorite Answer

    1.27 is 1 and 27/100, written 1 27/100

    This one was easy to do because it was a number that terminated

    Had it been 1.2753, it's still easy.

    It terminates, so it's 1 2753/10000

    0.61 is equally easy. Its 61/100

    0.61 is understood to have a denominator of 1

    Thus , 0.61=0.61/1

    Multiply top and bottom to get 61/100

    It has just occurred to me that your question asked

    how to convert REPEATING decimals. That is

    handled as follows.

    I presume 1.27 was meant to represent

    1.27272727.......

    If this is correct, then

    Let x=1.27272727.......

    Then 100x=127,27272727.......

    Subtract x=.....1.27272727...

    .......... 99x=126.0

    x=126/99

    126/99=1.27272727....

    For 0.61

    Assuming it's 0.616161......

    Let x=0.616161...

    .........100x=61.616161...

    Subtract x=..0. 616161

    ...........99x= 61

    x=61/99

    61/99=0.61616161...

  • 4 years ago

    List Of Repeating Decimals

  • 1 decade ago

    ok, you round it off at the hundredth. then just put it over 100 like 67/100 or go here: http://mathforum.org/dr.math/faq/faq.fractions.htm...

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