+0  
 
+2
85
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avatar+344 

What is \(\frac{0.\overline{03}}{0.0\overline3}\)? Express your answer as a mixed number.

 Jul 29, 2020
 #1
avatar+27970 
+1

.030303  =   3/99

 

.033333= 1/30       can you take it from here??cheeky

 Jul 29, 2020
 #2
avatar+1154 
+2

we know that   \(0.\overline{03}=3/99\) and \(0.0\overline{3}=1/30\) so we have the equation \(\dfrac{3/99}{1/30}=\dfrac{30}{99/3}=\dfrac{30}{33}=\dfrac{10}{11}\)so our final answer is \(\Huge{\boxed{\boxed{\boxed{\boxed{\dfrac{10}{11}}}}}}\)

 Jul 29, 2020

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