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what is $0.00\overline{02}$ 02 repeated as a fraction?

 Aug 18, 2018
 #1
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0

Sorry, can't read your question as written. Write it in "plaintext". Thanks.

 Aug 18, 2018
 #2
avatar+27795 
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Looks like this is meant to be: 0.0002020202....

 

So let        x = 0.0002020202...

 Then  100x = 0.0202020202...

 

Subtract the first from the second: 99x = 0.02, so x = 0.02/99

 

Multiply numerator and denominator by 100:   x = 2/9900

 

Simplify:  x = 1/4950

 Aug 18, 2018
 #3
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Thanks Alan. Just take the reciprocal of the decimal as: 1/0.0002020202020....=4,950. Or, the reciprocal of 4,950 as: 1/4,950 =0.00020202020..........etc.

 Aug 18, 2018
edited by Guest  Aug 18, 2018
 #4
avatar+16 
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Thanks

 Aug 22, 2018

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