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Barney shared 5 2/3 pounds of mush with 8 friends. How much mush did each friend receive? Type your answer as a fraction.

User Kulbi
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1 Answer

2 votes

Answer:

17/24 pounds of mush

Explanation:

To find out how much mush each friend received, we need to divide the total amount of mush shared (5 2/3 pounds) by the number of friends (8).

First, let's convert 5 2/3 pounds to an improper fraction. We can do this by multiplying the whole number (5) by the denominator of the fraction (3) and adding the numerator (2). Then, we put the result over the original denominator (3) to get the improper fraction.

5 * 3 + 2 = 15 + 2 = 17

So, 5 2/3 is equivalent to the improper fraction 17/3.

Now, let's divide the amount of mush (17/3 pounds) by the number of friends (8).

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

(17/3 pounds) ÷ 8 friends = (17/3 pounds) * (1/8) friends

When multiplying fractions, we multiply the numerators together and the denominators together.

(17/3 pounds) * (1/8 friends) = (17 * 1) / (3 * 8) pounds/friends

= 17/24 pounds/friends

Therefore, each friend received 17/24 pounds of mush.

User Pushp Raj Saurabh
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