5. Select all equations that can represent the question: "How many groups of \( \frac{4}{5} \) are in 1?" A.? \( 1=\frac{4}{5} \) B. \( 1 \cdot \frac{4}{5}= \) ? C. \( \frac{4}{5} \div 1= \) ? D. \( ? \cdot \frac{4}{5}=1 \) E. \( 1 \div \frac{4}{5}= \) ?
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Let's dive into some mathematical fun! The problem is asking how many groups of \( \frac{4}{5} \) fit into 1. To visualize this clearly, think of it like filling a cup (which represents 1) using portions of \( \frac{4}{5} \) liters of water. Now, finding the right equations becomes as delightful as solving a mystery! The equations that fit the bill are D. \( ? \cdot \frac{4}{5} = 1 \) and E. \( 1 \div \frac{4}{5} = ? \). D shows that if we figure out how many groups of \( \frac{4}{5} \) make up 1, we can find our answer. E translates that directly into division, uncovering how many times \( \frac{4}{5} \) fits into 1. Happy calculating!
