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.