Marlisha H.

asked • 08/15/15

How do I find the reciprocal of x+y/2

I need step by step instructions rather than the answer.

1 Expert Answer

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Gaurav W. answered • 08/15/15

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Hi,
 
Step 1: Simplify the expression
= x+y/2
= (2x+y)/2
 
Step 2: Reciprocal is simply inverting the simplified expression or divide 1 by the simplified fraction.
= 2/(2x+y)
 
Best regards,
Gaurav
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Andrew M.

Inverting the equation does not occur by dividing the simplified fraction by 1. 
a/1 = a. That would not invert the fraction.
 
The mathematical equivalent of inverting a fraction is to multiply it
by the inverse square of itself.   (a/b)(b2/a2) = b/a
 
It is, of course, simpler to just say "invert the fraction", meaning turn it over.
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08/16/15

Andrew M.

Actually, what Gaurav W. meant was "divide 1 by the simplified fraction."
 
1/(a/b) = b/a
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08/16/15

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