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August 12th, 2018, 04:13 PM  #1 
Newbie Joined: Aug 2018 From: Singapore Posts: 1 Thanks: 0  Reciprocal of x/y  1
Which of the following equals the reciprocal of x/y  1, where x/y  1 does not equal zero? (A) 1/x  y (B) y/x (C) y/(x  1) (D) x/(xy  1) (E) y/(xy  1) My answer is x/y  1 = (x  y)/y and its reciprocal is y/(x  y) but I am not able to get the right answer from the choices. Please help. 
August 12th, 2018, 05:15 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,852 Thanks: 750 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
August 13th, 2018, 03:56 PM  #3 
Senior Member Joined: Feb 2010 Posts: 683 Thanks: 129  If you view this as the fraction $\displaystyle x/y$ multiplied by $\displaystyle 1$ then B could be correct. On the other hand, who would interpret it this way?

August 13th, 2018, 04:06 PM  #4 
Senior Member Joined: Aug 2012 Posts: 1,971 Thanks: 550  I tried it as if it were intended to be x/(y  1) since this is a very common mistake. But that doesn't help, none of the answers work.


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linear algebra, reciprocal, x or y 
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