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16. Jesse is making a pitcher of fruit smoothies that contains 3 cups of orange juice. His measuring cup only holds \( \frac{1}{4} \) cup. How many times will Jesse need to fill the measuring cup to get the 3 cups of orange juice? In

Ask by Greene Ryan. in the United States
Jan 23,2025

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Answer

Jesse needs to fill the \( \frac{1}{4} \) cup measuring cup **12 times** to get 3 cups of orange juice.

Solution

To determine how many times Jesse needs to fill his \( \frac{1}{4} \) cup measuring cup to get 3 cups of orange juice, we can set up the problem as follows: 1. **Identify the total amount of orange juice needed**: - Jesse needs 3 cups of orange juice. 2. **Identify the capacity of the measuring cup**: - The measuring cup holds \( \frac{1}{4} \) cup. 3. **Calculate the number of times Jesse needs to fill the measuring cup**: - We can find this by dividing the total amount of orange juice by the capacity of the measuring cup: \[ \text{Number of fills} = \frac{\text{Total orange juice}}{\text{Capacity of measuring cup}} = \frac{3}{\frac{1}{4}} \] 4. **Perform the division**: - Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{3}{\frac{1}{4}} = 3 \times 4 = 12 \] Thus, Jesse will need to fill the measuring cup **12 times** to get 3 cups of orange juice.

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To find out how many times Jesse needs to fill his \( \frac{1}{4} \)-cup measuring cup to get 3 cups of orange juice, we can divide the total amount of juice by the capacity of the measuring cup. So, we do \( 3 \div \frac{1}{4} \), which is the same as multiplying by 4. Hence, Jesse will need to fill his measuring cup 12 times to reach the 3 cups he needs. This math problem showcases the concept of unit conversions and repeated addition, which are often applied in cooking and baking. So, whether you're whipping up a smoothie or baking a cake, knowing how to properly measure your ingredients is key to a delicious outcome!

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