Answered

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Tim is dividing up a 2 ½ pound bag of nuts into smaller portions.
a. How many ¼ pound bags of nuts can be made from a
2 ½ pound bag of nuts?
b. How many ½ pound bags of nuts can be made from a
2 ½ pound bag of nuts?
c. How many ¾ pound bags of nuts can be made from a
2 ½ pound bag of nuts?

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Answer:

  a.  10

  b.  5

  c.  3 with 1/4 pound left over

Step-by-step explanation:

You can find the number of 1/4 pound bags by dividing 2 1/2 pounds by 1/4 pound. In decimal, this is obvious:

  2.5/0.25 = 10

Using fractions, it is ...

  (2 1/2)/(1/4) = (5/2)/(1/4) = (10/4)/(1/4) = 10/1 = 10

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a) Tim can make 10 1/4-pound bags from 2 1/2 pounds.

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b) It is worthwhile to note that a 1/2-pound bag is equivalent to two 1/4-pound bags. So, the number of 1/2-pound bags will be 10/2 = 5.

Tim can make 5 1/2-pound bags from 2 1/2 pounds.

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c) It is worthwhile to note that a 3/4-pound bag is equivalent to three 1/4-pound bags. So, the number of 3/4-pound bags will be 10/3 = 3 1/3.

Tim can make 3 3/4-pound bags from 2 1/2 pounds, with 1/4 pound left over.

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