Which expression is equivalent to \( \frac{12}{7} \) ? \( \begin{array}{ll}\text { (A) } 12-7 & \text { (B) } 7-12 \\ \text { (c) } 12 \div 7 & \text { (D) } 7 \div 12\end{array} \) Kamaria lives on a ranch with 4 horses. She feeds the horses a total of 10 pounds of oats. Each horse gets the same amount of oats. How many pounds of oats does each horse get? Use a visual model and an equation to support your answer.
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Mind Expander
To find how many pounds of oats each horse gets, we can use a simple equation: if Kamaria has 4 horses and they share 10 pounds of oats equally, we can express this as \(x = \frac{10}{4}\), where \(x\) is the amount of oats each horse receives. Simplifying \( \frac{10}{4} \) gives us \( \frac{5}{2} \) or 2.5 pounds of oats per horse. A visual model could show a circle divided into four equal parts, each labeled with 2.5 to illustrate that each horse gets the same portion. Now, regarding the first expression question, the correct option equivalent to \( \frac{12}{7} \) is \( 12 \div 7 \), which corresponds to option (C). The choice (A) is a subtraction and not related to the original fraction, while (B) results in a negative number. Choice (D) gives a fraction less than 1, demonstrating how each option carries different meanings mathematically!
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