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what is 0.5787037037 as a simplest fraction?

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 Feb 21, 2017
 #1
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0

= 125 / 216 =0.578703703703703......etc.

 Feb 22, 2017
 #2
avatar+9477 
0

what is 0.5787037037 as a simplest fraction?

 

\(\Large0.5787037037 =\frac{5787037037 }{10^{10}}=\frac{12107\times477991}{10^{10}}\)

 

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Thank you Guest!
How did you do that? crying

 Feb 22, 2017
edited by asinus  Feb 22, 2017
 #3
avatar+23646 
+5

Let x =.5787037037.....

1000x = 578.703703......

1000000x = 578703.703703

 

1000000x - 1000x = 578703.703703...  - 578.703703....  =  578125 =999,000x

divide by 999000 

578,125/999,000 =x = 125/216   (from the web2.0 calculator)

 Feb 22, 2017
edited by ElectricPavlov  Feb 22, 2017
 #4
avatar+9477 
0

Thank you, ElectricPavlov smiley !

asinus  Feb 22, 2017

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