Dora buys one package each of 1-pound, 2-pound, and 4-pound packages of ground beef to make hamburgers. How many \( \frac{1}{4} \)-pound hamburgers can she make? Show your work using words, pictures, or numbers.

To determine how many \( \frac{1}{4} \)-pound hamburgers Dora can make with the ground beef she purchased, we need to follow these steps: 1. **Identify the total weight of ground beef**: Dora buys three packages of ground beef: - 1-pound package - 2-pound package - 4-pound package We can calculate the total weight by adding these amounts together: \[ \text{Total weight} = 1 + 2 + 4 \] 2. **Calculate the total weight**: \[ \text{Total weight} = 1 + 2 + 4 = 7 \text{ pounds} \] 3. **Determine the weight of each hamburger**: Each hamburger weighs \( \frac{1}{4} \) pound. 4. **Calculate the number of hamburgers**: To find out how many \( \frac{1}{4} \)-pound hamburgers can be made from 7 pounds of beef, we divide the total weight by the weight of each hamburger: \[ \text{Number of hamburgers} = \frac{\text{Total weight}}{\text{Weight of each hamburger}} = \frac{7}{\frac{1}{4}} \] 5. **Perform the division**: Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{7}{\frac{1}{4}} = 7 \times 4 = 28 \] Thus, Dora can make a total of **28 hamburgers** that weigh \( \frac{1}{4} \) pound each.