Liam combines 5/6 pounds of peanuts, 5/6 pounds of cashews,and 5/6 pounds of almonds to make a batch of mixed nuts. He divides the combined batch equally into 8 bags. How many pounds of nuts are in each bag?
(5/6 + 5/6 + 5/6)/8 = (15/6)/8 = 15/48 = 5/16
i need help
To find out how many pounds of nuts are in each bag, we need to divide the total weight of the batch of mixed nuts by the number of bags.
First, let's determine the total weight of the batch of mixed nuts. Liam combines 5/6 pounds of peanuts, 5/6 pounds of cashews, and 5/6 pounds of almonds. When we add these fractions together, we get:
5/6 + 5/6 + 5/6 = 15/6
Now, we need to divide this total weight by the number of bags, which is 8:
(15/6) ÷ 8
To divide fractions, we multiply the first fraction (15/6) by the reciprocal of the second fraction (8/1):
(15/6) * (1/8) = 15/48
Now, we want to simplify the fraction. Both the numerator and denominator are divisible by 3:
(15/6) * (1/8) = (5/2) * (1/8) = 5/16
Therefore, each bag will contain 5/16 pounds of nuts.