+0  
 
0
588
2
avatar

0.6464... (repeating) as a Fraction?

 Oct 14, 2016
 #1
avatar+26387 
0

0.6464... (repeating) as a Fraction?

 

\(\begin{array}{|rcll|} \hline 1\cdot a &=& 0.6464... \text{ (repeating)} \\ 100\cdot a &=& 64.6464... \text{ (repeating)}) \\\\ 100\cdot a - 1\cdot a &=& 64.6464... \text{ (repeating)} - 0.6464... \text{ (repeating)}\\ 99\cdot a &=& 64 \\ a &=& \frac{64}{99} \\ \mathbf{ 0.6464... \text{ (repeating)} } &\mathbf{=}& \mathbf{ \frac{64}{99} }\\ \hline \end{array}\)

 

laugh

 Oct 14, 2016
 #2
avatar+26387 
0
 Oct 14, 2016
edited by heureka  Oct 14, 2016

3 Online Users

avatar
avatar