+0  
 
0
147
2
avatar

what is 0.4 recurring as a fraction

Guest Feb 28, 2017
 #1
avatar+87303 
0

I assume you mean  →  0.44.......

 

If so....we have      44/99 =  4/9

 

 

cool cool cool

CPhill  Feb 28, 2017
 #2
avatar+19652 
+5

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

5 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.