Diagram Showing Division of FractionsDate: 01/13/2002 at 19:48:27 From: Donna Mann Subject: Diagram showing 2/3 / 3/4 I understand how to divide fractions, but would like to be able to draw this problem in a diagram. 2/3 / 3/4 = 8/9 Please explain what the 8/9 represents. (What part of what?) Thanks so much. Donna Date: 01/14/2002 at 09:26:32 From: Doctor Peterson Subject: Re: Diagram showing 2/3 / 3/4 Hi, Donna. Here is an earlier answer to a similar question: Picturing Dividing Fractions http://mathforum.org/dr.math/problems/katherine.04.02.01.html I'll apply the same approach to your problem. The idea is that division amounts to measuring the dividend using the divisor as a unit. That is, when we divide, we are asking how many 3/4's there are in 2/3. Suppose we try to measure a 2/3-foot bar using a 3/4-foot stick: 0 2/3 3/4 1 foot +---+---+---+---+---+---+---+---+---+---+---+---+ 2/3 ================================= <--- the bar being measured | | <--- the measuring stick +---+---+---+---+---+---+---+---+---+ 0 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 1 You see that if I mark my measuring stick in ninths, each ninth corresponds to 1/12 of a foot (1/9 * 3/4), and the 2/3-foot bar measures 8/9 of the measuring stick. That is, 2/3 = 8/9 times 3/4, and 2/3 / 3/4 = 8/9. In summary, the answer represents 8/9 OF THE 3/4-FOOT MEASURING STICK. Does that help? - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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