We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
2304
2
avatar

what is 0.266 reoccurring as a fraction?

 May 13, 2015

Best Answer 

 #2
avatar+28125 
+10

If you mean 0.26666666.... with the 6's recurring, then do the following:

 

Let  x = 0.266666....

Mutiply x by 100:

100x = 26.666666.....

Multiply x by 10:

10x = 2.666666.....

 

Subtract 10x from 100x:

100x - 10x = 26.66666.... - 2.66666..... so

90x = 24

 

Divide by 90

x = 24/90

or x = 4/15

.

 

On the other hand, if you mean 0.266266266... then

Let x = 0.266266266...

 

Multiply by 1000

1000x = 266.266266266....

 

Subtract x from 1000x

1000x - x = 266.266266266... - 0.266266266...

999x = 266

x = 266/999

.

 May 13, 2015
 #1
avatar+297 
+3

 266/1000 is 0.266 reoccurring as a fraction?

    

 May 13, 2015
 #2
avatar+28125 
+10
Best Answer

If you mean 0.26666666.... with the 6's recurring, then do the following:

 

Let  x = 0.266666....

Mutiply x by 100:

100x = 26.666666.....

Multiply x by 10:

10x = 2.666666.....

 

Subtract 10x from 100x:

100x - 10x = 26.66666.... - 2.66666..... so

90x = 24

 

Divide by 90

x = 24/90

or x = 4/15

.

 

On the other hand, if you mean 0.266266266... then

Let x = 0.266266266...

 

Multiply by 1000

1000x = 266.266266266....

 

Subtract x from 1000x

1000x - x = 266.266266266... - 0.266266266...

999x = 266

x = 266/999

.

Alan May 13, 2015

25 Online Users

avatar