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The problem is asking how many bags can be filled if 33 pounds of candy are distributed into bags that each hold \( \frac{3}{4} \) pounds of candy.

To find out how many bags can be filled, we need to divide the total amount of candy (33 pounds) by the size of each bag, which is \( \frac{3}{4} \) pounds:

\[
\text{Number of bags} = \frac{33}{\frac{3}{4}}
\]

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \), so:

\[
\text{Number of bags} = 33 \times \frac{4}{3} = \frac{33 \times 4}{3} = \frac{132}{3} = 44
\]

Therefore, **44 bags** can be filled.

Would you like more details or have any further questions?

Here are 5 related questions to consider:
1. What happens if the weight of each bag is increased to 1 pound?
2. How would the answer change if only 20 pounds of candy were available?
3. What if the bag size was a different fraction, like \( \frac{1}{2} \) pound?
4. How can we represent the process of dividing by a fraction graphically?
5. How would you calculate the total number of bags if you had 100 pounds of candy?

**Tip**: When dividing by a fraction, remember to multiply by its reciprocal for faster calculation.

Thirty-three pounds of candy is distributed in 3/4 lb bags. How many bags can be filled?

Learn how to calculate the number of bags that can be filled with 33 pounds of candy divided into 3/4 pound bags. This problem covers key concepts like division and multiplication of fractions, suitable for students in Grades 5-6.

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