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The problem asks how many \( \frac{1}{4} \)-pound burgers Hannah can make from 9 \( \frac{1}{6} \) pounds of ground beef.

To solve this, we need to divide the total pounds of beef by the weight of each burger:

\[
\text{Number of burgers} = \frac{9 \frac{1}{6}}{\frac{1}{4}} = \frac{\frac{55}{6}}{\frac{1}{4}} = \frac{55}{6} \times \frac{4}{1} = \frac{220}{6} = 36 \frac{2}{3}
\]

Thus, Hannah can make 36 \( \frac{2}{3} \) burgers, which is the correct answer. The final answer corresponds to the last option in the list.

Would you like further details on this? 

Here are 5 questions that relate to this concept:
1. How do you convert a mixed number into an improper fraction?
2. What is the process for dividing fractions?
3. How many burgers could Hannah make if each weighed \( \frac{1}{3} \) pounds?
4. If Hannah only had 8 pounds of beef, how many \( \frac{1}{4} \)-pound burgers could she make?
5. How would the answer change if each burger weighed \( \frac{1}{6} \) pounds instead?

**Tip:** When dividing by a fraction, it's equivalent to multiplying by the reciprocal of that fraction.

Hannah bought 9 1/6 pounds of ground beef to make hamburgers for a party. How many 1/4-pound burgers can she make?

Find out how many 1/4-pound burgers Hannah can make from 9 1/6 pounds of ground beef. This problem teaches division of mixed numbers and multiplication by reciprocals. Suitable for students in Grades 6-8.

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