Final answer:
We divide the total amount of almonds (2/3 pounds) by 4 to find the amount per bag. We express this as (2/3) ÷ 4, and by applying the rules of fraction division, it rewrites to (2/3) x (1/4), which equals to 1/6. Therefore, each bag will carry 1/6 pound of almonds.
Step-by-step explanation:
The subject of this problem is division of fractions. Brett has 2/3 of a pound of almonds and wants to divide them equally among 4 bags. To find out how many almonds will be in each bag, Brett would need to divide the total amount of almonds, which is 2/3, by 4. The operation needed here is division.
You write the expression as: (2/3) ÷ 4. However, instead of normal division, in mathematics, when dividing fractions, we apply a rule called 'keep, change, flip'. That is, we keep the first fraction the same, change the operation from division to multiplication, and flip the second number, which is 4 in this case, to its reciprocal which is 1/4.
The problem then becomes: (2/3) x (1/4). When multiplying fractions, simply multiply straight across. This yields 2/12 or 1/6. So, each bag will contain 1/6 of a pound of almonds.
Learn more about Fraction Division