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What is .72 repeating as a fraction?

 Oct 2, 2014

Best Answer 

 #3
avatar+118723 
+13

Do you meant

0.72727272.....

let x=0.727272.....

100x=72.727272

so

100x-x=72   The rest cancels out

99x=72

x=72/99

 Oct 3, 2014
 #1
avatar+130511 
+3

.72 is a non-repeating decimal whose fractional equivalent is just 72/100

 

 Oct 3, 2014
 #2
avatar
+3

Neither the decimal ".727272..." nor the decimal ".722222..." can be turned into a fraction.
Also to respond to CPhill's comment I'm pretty sure that he was saying that he needed the answer based on ".72 repeating" not what you assumed he meant. Also the answer you gave can be simplified to $${\frac{{\mathtt{18}}}{{\mathtt{25}}}}$$.

 Oct 3, 2014
 #3
avatar+118723 
+13
Best Answer

Do you meant

0.72727272.....

let x=0.727272.....

100x=72.727272

so

100x-x=72   The rest cancels out

99x=72

x=72/99

Melody Oct 3, 2014
 #4
avatar+130511 
+3

Thanks, Melody.......I see now what the questioner meant !!!!......disregard my answer !!!

BTW.....I liked the way you did that one....very clever......I haven't seen that technique before, but I intend to add it to my "tool chest".....!!!!!

 

 Oct 3, 2014
 #5
avatar+118723 
0

Thanks Chris,

It is the easiest way of doing it.

Just multiply by 10^n  where n is the number of digits that are repeating.  do the subtraction and simplify.   

 Oct 3, 2014
 #6
avatar
0

8/11 Bam

 Mar 26, 2016

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