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A clothing store can put 11 pairs of jeans on a shelf. They have 8 shelves for the jeans and 7 pairs that cannot fit on the shelves. Use the drawing below to find the fraction that represents the number of jeans unshelved.

Ask by Barnett Reid. in the United States
Jan 23,2025

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The fraction of unshelved jeans is 7⁄95.

Solución

To find the fraction representing the number of unshelved jeans, follow these steps: 1. **Calculate the total number of jeans on the shelves:** - There are 8 shelves. - Each shelf holds 11 pairs of jeans. - Total jeans on shelves = 8 shelves × 11 pairs/shelf = **88 pairs**. 2. **Determine the total number of jeans in the store:** - Jeans on shelves = 88 pairs. - Unshelved jeans = 7 pairs. - Total jeans = 88 + 7 = **95 pairs**. 3. **Find the fraction of unshelved jeans:** - Unshelved jeans = 7 pairs. - Total jeans = 95 pairs. - Fraction = Unshelved / Total = **7/95**. **Answer:** The fraction of unshelved jeans is 7⁄95.

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The Deep Dive

To find the fraction representing the number of unshelved jeans, we first calculate the total number of pairs of jeans that can fit on the shelves. With 8 shelves and 11 pairs per shelf, that’s 8 x 11 = 88 pairs of jeans. Now, since there are 7 pairs that cannot fit on the shelves, the fraction of unshelved jeans is 7 (unshelved jeans) over 88 (total capacity), which simplifies to 7/88. So, the fraction representing the number of unshelved jeans is 7/88. Now that we have a fraction, how about exploring some fun facts? Did you know that the first pair of jeans was created by Levi Strauss in 1873? He designed them to be durable for miners during the California Gold Rush, and they've become a timeless fashion staple ever since! In real-world applications, understanding fractions can be super useful in retail! For instance, if a clothing store is looking to optimize shelf space, they often evaluate how many items can fit vs. what's available. This way, they can better manage inventory and ensure their products are always displayed effectively for customers.

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