Question

josh has 6 pounds of almonds. he is going to put \\(\frac{1}{2}\\) pound of almonds in each bag. he wants to know how many bags he needs. show how many bags josh needs for 6 pounds of almonds.

Explanation:

Step1: Define the division problem

To find the number of bags, divide total almonds by almonds per bag:
$$\text{Number of bags} = 6 \div \frac{1}{2}$$

Step2: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$$6 \times \frac{2}{1}$$

Step3: Calculate the result

Multiply the whole number by the numerator:
$$6 \times 2 = 12$$

Step4: Number line interpretation

Each unit on the line (1 pound) can be split into 2 parts of $\frac{1}{2}$ pound. For 6 units, total parts = $6 \times 2 = 12$, representing 12 bags.

Answer:

12 bags