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Homework Help: Express the number as a ratio of integers.

  1. Nov 13, 2006 #1
    hi im having trouble with this question:
    Q:Express the number as a ratio of integers. 9.4(78)bar so 9.4787878787878787878

    what is confusing me is the 9.4, and where i should start the series at 78/10^(?)

    please if someone could help me.

    ty
     
  2. jcsd
  3. Nov 13, 2006 #2

    StatusX

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    Try multiplying it by 99. Specifically, multiply it by 100 and then subtract the original number. The repeating part should go away.
     
  4. Nov 13, 2006 #3
    yea i think i got it
    9.4+(78/10^3)+(78/10^5)
    so according to the geo series a=(78/10^3) and r=(1/10^2)
    it should be (94/10)+(13/165)
     
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