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i would like to know if a/b/c is equal to ac/b

 Dec 2, 2015

Best Answer 

 #1
avatar+495 
+10

Try it out!

 

if a= 5, b = 7, and c = 13,  then

 

a/b/c = 5/7/13 = 5/91

 

ac/b = 5*13/7 = 65/7

 

5/91 does not equal 65/7

 

Since one case proves the identity wrong, the whole thing must be wrong. So you can conclude:

 

a/b/c does not equal ac/b

 

Hope this helps!

 Dec 2, 2015
 #1
avatar+495 
+10
Best Answer

Try it out!

 

if a= 5, b = 7, and c = 13,  then

 

a/b/c = 5/7/13 = 5/91

 

ac/b = 5*13/7 = 65/7

 

5/91 does not equal 65/7

 

Since one case proves the identity wrong, the whole thing must be wrong. So you can conclude:

 

a/b/c does not equal ac/b

 

Hope this helps!

LambLamb Dec 2, 2015
 #2
avatar+128579 
+5

All we need is one counter-example to show that this is not generally true......consider

 

a/b/c =  a*c/b   ???

 

24/3/2  =  24*2/3       ???

 

8/2 = 48/3  ???

 

4  = 16  ???   .......nope

 

 

 

cool cool cool

 Dec 2, 2015
 #3
avatar
0

ok, thanks :) 

 Dec 2, 2015
 #4
avatar+128579 
0

Heck....you beat me to it, LambLamb.....!!!!!

 

 

 

cool cool cool

 Dec 2, 2015
 #5
avatar
0

They could be made equal ......... sort of.

a/(b/c)  does equal  a*c/b

 Dec 2, 2015

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