+0  
 
0
57
2
avatar

what is equivalent to 0.51 when the 1 is being repeated

 Nov 30, 2018
 #1
avatar+15350 
+2

Let x = .51111111....

 

10x = 5.11111111

100x= 51.1111111

 

100x - 10x = 90x   = 51.1111111...-5.11111111.....

                     90x = 46

                         x = 46/90 = 23/45

..

 Nov 30, 2018
 #2
avatar+94545 
+1

Thanks, EP....here's another method

 

Write the non-repeating part and repeating part without a decimal  =  51      (1) 

 

Subtract the non-repeating part  from (1).....51 - 5  =  46

 

Write this over a digit that has the same number of 9's as the repeating part and append to this the same number of 0's as the non-repeating part  =  90

 

So....we have  46 / 90   = 23 / 45

 

 

cool cool cool

 Dec 1, 2018

11 Online Users

avatar
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.