Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given

Answers and Step-by-step explanations:

A. We have a total of 4 4/5 feet of rope, but we want lots of little 2/5 feet pieces of rope. In order to find how many we can get, we need to divide 4 4/5 by 2/5.

To do so, first convert 4 4/5 into an improper fraction, as that makes it easier: 4 4/5 = 24/5.

Now divide the two fractions. Remember that when you divide fractions, it is equivalent to multiplying by the reciprocal of the divisor:

(24/5) / (2/5) = (24/5) * (5/2) = 12 pieces

B. The quotient from Part A is 12, and its meaning is that there are 12 pieces of the 2/5 feet of rope that Tara can cut the original long rope into.

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