Pregunta
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D. 24 pounds There are 7 children in Uriah's swim class. They have 9 cups of grapes to divide equally among them. Which fraction shows ho many cups of grapes each child receives? \( \begin{array}{ll}\text { A. } \frac{2}{9} \text { cup } & \text { B. } \frac{7}{9} \text { cup } \\ \text { C. } \frac{9}{2} \text { cups } & \text { (D. } \frac{9}{7} \text { cups }\end{array} \)

Ask by Lee Higgins. in the United States
Mar 12,2025

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Each child receives \(\frac{9}{7}\) cups of grapes.

Solución

To determine how many cups of grapes each child receives, we need to divide the total number of cups of grapes by the number of children. 1. **Identify the known values:** - Total cups of grapes = 9 - Number of children = 7 2. **Set up the division:** Each child receives: \[ \text{Cups per child} = \frac{\text{Total cups of grapes}}{\text{Number of children}} = \frac{9}{7} \] 3. **Interpret the result:** The fraction \(\frac{9}{7}\) means that each child receives 1 whole cup and \(\frac{2}{7}\) of another cup. 4. **Select the correct answer:** From the options provided, the correct fraction that shows how many cups of grapes each child receives is: \[ \text{(D) } \frac{9}{7} \text{ cups} \] Thus, the answer is **(D) \(\frac{9}{7}\) cups**.

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The Deep Dive

To share 9 cups of grapes equally among 7 children, you would divide the total number of cups by the number of children. This gives you \( \frac{9}{7} \) cups per child, which means each child receives a little over a cup of grapes (specifically, 1 and 2/7 cups)! When dividing, it’s essential to remember that for equal sharing you should keep the numerator (the number of items to share) and the denominator (the number of people) in mind. A common mistake in these problems is either to add or neglect to divide the total number by the number of recipients.

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