mialyn3nmily1y
mialyn3nmily1y mialyn3nmily1y
  • 07-08-2016
  • Mathematics
contestada

Use a series to express the following number as a ratio of integers: 0.73737373

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dalendrk
dalendrk dalendrk
  • 08-08-2016
[tex]x=0.73737373...\ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=73.737373...\\\\100x-x=73.737373...-0.737373...\\\\99x=73\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=\dfrac{73}{99}\\\\Answer:\boxed{0.737373...=\frac{73}{99}}[/tex]
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Hussain514 Hussain514
  • 10-08-2016
let x=0.73737373 name it as eq 1
multiply 100 on both sides of 1 
we get
100x=73.7373....................eq 2
subtract equation 1 from 2
99x=73
x=73/99
hope this helps
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