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Nigel bought 6 pounds of shredded cheese and divided it into packages that each hold 3/5 of a pound. After dividing, how many packages of shredded cheese does he have? The word problem can be represented by the division expression 3/5 divided by 6 . To model this division problem, draw a fraction bar to represent 3/5 . Then, divide the shaded part of the fraction bar by six. The dividend is 6. The quotient is 10.

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Final answer:

To find out how many packages of shredded cheese Nigel has after dividing, divide the total weight of the cheese by the weight of each package. Nigel has 1/10 of a package of shredded cheese.

Step-by-step explanation:

To find out how many packages of shredded cheese Nigel has after dividing, we need to divide the total weight of the cheese by the weight of each package. To do this, we divide 6 pounds by 3/5 pounds per package. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, 3/5 divided by 6 is calculated as (3/5) x (1/6) = (3/5) x (1/6) = 3/30 = 1/10. Therefore, Nigel has 1/10 of a package of shredded cheese.

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