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What is the fraction for 0.19 repeating? I suck at math so hopefully someone can help.

 Dec 8, 2016
 #1
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0.1919191919........ =9/99

0.1999999999........ =~1/5

 Dec 8, 2016
 #2
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Let x = 0.1919191919.....

100x = 19.19191919....

 

Subtract x from 100x to get 99x = 19

 

Hence x = 19/99

 

 

If x = 0.199999999.....

10x = 1.999999999...

100x = 19.9999999...

 

Subtract 10x from 100x so 90x = 18 

 

x = 18/90 → 1/5

 Dec 8, 2016

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