To determine how many \(1 \frac{7}{8}\) kilogram books can fit into a box that holds \(28 \frac{1}{8}\) kilograms, you will need to divide the total weight capacity of the box by the weight of each book.
Here's how to set it up mathematically:
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Convert the mixed numbers to improper fractions if needed:
- \(28 \frac{1}{8} = \frac{225}{8}\)
- \(1 \frac{7}{8} = \frac{15}{8}\)
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Now, you need to divide the total weight capacity of the box by the weight of one book: \[ \text{Number of books} = \frac{28 \frac{1}{8}}{1 \frac{7}{8}} = \frac{\frac{225}{8}}{\frac{15}{8}} \]
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When you divide fractions, you multiply by the reciprocal: \[ \frac{225}{8} \times \frac{8}{15} = \frac{225}{15} \]
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Simplifying this gives: \[ \frac{225}{15} = 15 \]
So, the final answer is that the box can hold 15 books.
In summary, to solve this problem, you divide the total weight by the weight of one book.