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.