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12/15/98


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Multiplying Fractions

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There are 3 approaches for modeling fraction multiplication

We will think of multiplying fractions as finding a fraction of another fraction.

Then, we shade of . We can see that it is the same as .

To find the answer to , we will use the model to find of .

Then, we shade of . We can see that it is the same as .

In this example, of has been shaded

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In the second method, we will think of multiplying fractions as multiplying a length times a length to get an area.

In the second method, we will think of multiplying fractions as multiplying a length times a length to get an area.

We think of the rectangle having those sides. Its area is the product of those sides.

We can find another name for that area by seeing what part of the square is shaded.

We have two names for the same area. They must be equal.

Length X Length = Area

What is the answer to X ?

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In the third method, we will represent both fractions on the same square.

The product of the two fractions is the part of the square that is shaded both directions.

We will look at another example using cross shading. We shade one direction.

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The End

Author: Dr. Benny Tucker

Email: btucker@uu.edu

Home Page: http://www.uu.edu/personal/btucker/index.htm

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