Turning an Equation Upside-DownDate: 07/09/2001 at 21:31:17 From: Judy Fontenot Subject: Turning an equation upside down I am trying to help a neighbor. There is an example in the book that I do not understand. After this step: 2/h = (a + b)/ab, the book shows this: h/2 = (ab)/(a + b). Can you simply invert the fractions and maintain the equivalency? Or is there something you do to both sides to accomplish this? Thanks for your help. Date: 07/09/2001 at 23:30:16 From: Doctor Peterson Subject: Re: Turning an equation upside down Hi, Judy. Yes, as long as you know that the values are non-zero, you can take the reciprocal of both sides of an equation to get an equivalent equation. This is just a shortcut for the following: A = B given A / (AB) = B / (AB) dividing by AB 1/B = 1/A simplifying As long as A and B are non-zero, this is all legal. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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