How do you convert 0.27 (27 repeating) to a fraction?

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59
Apr 9, 2016

Answer:

#3/11#

Explanation:

You can do this with a bit of algebra, let #x = 0.27272727...#

Now times by #100# to get #100x = 27.27272727...#

But we can get rid of that tail part now by taking off #x = 0.272727...#, so

#100x-x = 99x = 27#

Now just divide by #99# to get that #x=27/99 = 3/11#

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Write your answer here...
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Then teach the underlying concepts
Don't copy without citing sources
preview
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Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

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17
May 19, 2017

Answer:

#x = 3/11#

Explanation:

let #x=0.272727272727.....#

multiply #x# by #100" "# because there are #2# recurring digits

#100x=27.2727272727....[1]#
#x" "=0.2727272727....[2]#

#[1]-[2]#

#99x=27#

#x=27/99 = 3/11#

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