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What is $\frac{0.\overline{72}}{0.\overline{33}}$? Express your answer as a common fraction in lowest terms.

 Oct 13, 2022
 #1
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0.33333... is 1/3

 

0.72727272... /(1/3) = 0.727272727.....*3

 

100*0.72727272... = 72.72727272....

1*    0.72727272... =    0.7272727....

subtract

99*0.727272727 = 72

0.72727272....   =  72/99 = 8/11

 

8/11 *3 =  24/11  =  2 and 3/11

 Oct 16, 2022

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