Modeling Fraction Division :
For some real-world problems, we may need to divide a fraction by a fraction.Sometimes, we may need to divide a fraction by a whole number.
Let us see how fraction division can be modeled through some examples.
Example 1 :
David has 3/4 cup of salsa for making burritos. Each burrito requires 1/8 cup of salsa. How many burritos can David make ?
To find the number of burritos that can be made, you need to determine how many 1/8 -cup servings are in 3/4 cup.
In the diagram given below, 3/4 of a whole is divided into quarters and into eighths.
In the whole cup, there are eight 1/8 cups.
But, David has 3/4 cup of salsa.
So, we have to count the number of 1/8 cups in 3/4 cup in the above diagram.
And there are six 1/8 cups in 3/4 cup of salsa.
Hence, David can make 6 burritos from 3/4 cup of salsa.
Example 2 :
Five people share 1/2 pound of cheese equally. How much cheese does each person receive?
To find how much cheese each person receives, you can divide 1/2 pound into 5 equal parts. Use the diagram to determine what fraction of a whole pound each person receives.
In the diagram given below, 1/2 of a whole is divided into halves and into tenths.
In one pound of cheese, there are ten 1/10s.
But, there is 1/2 pound of cheese.
So, we have to count the number of 1/10s in 1/2 pound of cheese.
And there are five 1/10s in 1/2 pound of cheese.
Hence, Each person will receive 1/10 pound of cheese.
After having gone through the stuff given above, we hope that the students would have understood, how to model fraction division.
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