Date: 04/03/97 at 18:29:44 From: Clara Rowe Subject: Congruent Fractions My teacher gave me an assignment to find out what congruent fractions are. I can't find out anywhere. Can you tell me what congruent fractions are? Clara
Date: 04/04/97 at 19:48:16 From: Doctor Mike Subject: Re: Congruent Fractions Dear Clara, I think congruent fractions also sometimes go by the name of equivalent fractions, meaning they look different but are really equal. Here is an example. If you cut a pie straight down the middle, from one edge to the other, then you have 2 big pieces that are the same shape. If you take one of those 2 pieces you have half of the pie, or the fraction 1/2. Now think about cutting the pie 2 more times so that you have 6 wedge- shaped pieces of the same shape. This is the standard way of cutting a round pie for serving. But now to get half of the pie you have to take 3 of the 6 pieces. When you put this situation in the form of a fraction you get 3/6. This fraction means "3 of the total of 6 equal pieces", but you and I both know that what you really have is half of a pie. Some fancy restaurants try to make more money by cutting a pie into 8 equal-size and equal-shape wedge shaped pieces. In this kind of a restaurant, half a pie would be the fraction 4/8 or four eighths. Anyway, the fractions 1/2, 3/6, and 4/8 all mean half of a pie, and they are equivalent fractions. They look different, but they amount to the same thing. This is making me hungry! How about you? I hope this helps. -Doctor Mike, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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