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Samuel made 6 1/3 bags of popcorn for a movie night with some friends. Together they ate 3 1/2 bags of it. How much popcorn was left?Write your answer as a fraction or as a whole or mixed number.

Question

Samuel made 6 1/3 bags of popcorn for a movie night with some friends. Together they ate 3 1/2 bags of it. How much popcorn was left?Write your answer as a fraction or as a whole or mixed number.

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Solution

To solve this problem, we need to subtract the amount of popcorn eaten from the total amount of popcorn made.

First, we need to convert the mixed numbers to improper fractions.

Samuel made 6 1/3 bags of popcorn. To convert this to an improper fraction, we multiply the whole number (6) by the denominator of the fraction (3) and add the numerator of the fraction (1). This gives us 19/3.

They ate 3 1/2 bags of popcorn. To convert this to an improper fraction, we multiply the whole number (3) by the denominator of the fraction (2) and add the numerator of the fraction (1). This gives us 7/2.

Now we subtract the amount eaten from the total amount made:

19/3 - 7/2 = 38/6 - 21/6 = 17/6

To convert this back to a mixed number, we divide the numerator by the denominator. 17 divided by 6 is 2 with a remainder of 5. So, the mixed number is 2 5/6.

Therefore, 2 5/6 bags of popcorn were left.

This problem has been solved

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