Chad buys peanuts in 2 pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6 pound bags without having any peanuts left over?

1 4/6

To answer this question, we need to find the least common multiple (LCM) of the two weights: 2 pounds and 5/6 pound.

First, we need to convert 5/6 pound into a decimal. We can do this by dividing 5 by 6:
5 ÷ 6 = 0.83 (rounded to two decimal places)

Now we need to find the LCM of 2 and 0.83. To do this, we can use the method of prime factorization.

The prime factors of 2 are 2, and the prime factors of 0.83 are 83.

The LCM is calculated by multiplying the highest power of each prime factor. Therefore, the LCM of 2 and 0.83 is 2 * 83 = 166.

This means Chad needs to package the peanuts in bags that hold 166 pounds. Since Chad buys peanuts in 2-pound bags, we can calculate the number of 2-pound bags needed by dividing 166 by 2:

166 ÷ 2 = 83

Therefore, Chad should buy 83 bags of peanuts weighing 2 pounds each in order to fill the 5/6 pound bags without having any peanuts left over.