Problem

26. Be Precise A large bag contains $\frac{12}{15}$ pound of granola. How many $\frac{1}{3}$-pound bags can be filled with this amount of granola? How much granola is left over?

Answer

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Answer

Final Answer: The number of \(\frac{1}{3}\)-pound bags that can be filled is \(\boxed{2}\) and the amount of granola left over is approximately \(\boxed{0.133}\) pounds.

Steps

Step 1 :First, we need to determine how many \(\frac{1}{3}\)-pound bags can be filled with \(\frac{12}{15}\) pounds of granola. This can be done by dividing the total amount of granola by the size of each bag.

Step 2 :The calculation is \(\frac{12}{15} ÷ \frac{1}{3} = 2.4\). This means that 2 full bags can be filled and there will be some granola left over.

Step 3 :To find out how much granola is left over, we subtract the amount of granola used to fill the full bags from the total amount of granola. The calculation is \(\frac{12}{15} - 2*\frac{1}{3} = 0.133\) pounds.

Step 4 :Final Answer: The number of \(\frac{1}{3}\)-pound bags that can be filled is \(\boxed{2}\) and the amount of granola left over is approximately \(\boxed{0.133}\) pounds.

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