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what is 0.4 recurring as a fraction

Guest Feb 28, 2017
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 #1
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I assume you mean  →  0.44.......

 

If so....we have      44/99 =  4/9

 

 

cool cool cool

CPhill  Feb 28, 2017
 #2
avatar+18767 
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what is 0.4 recurring as a fraction

 

\(\begin{array}{|rcll|} \hline 10\cdot 0.\bar{4} &=& 4.\bar{4} \\ 1\cdot 0.\bar{4} &=& 0.\bar{4} \\\\ 10\cdot 0.\bar{4} - 1\cdot 0.\bar{4} &=& 4.\bar{4}-0.\bar{4} \\ 9\cdot 0.\bar{4} &=& 4 \\ 0.\bar{4} &=& \frac{4}{9} \\ \mathbf{ 0.4\ recurring } &\mathbf{=}& \mathbf{ \frac{4}{9} }\\ \hline \end{array} \)

 

laugh

heureka  Feb 28, 2017

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