To solve the problem of how many 1 7/8 kilogram books can fit in a box that holds 28 1/8 kilograms, you will need to divide the total weight capacity of the box by the weight of each book.
Step-by-step Solution:
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Convert the mixed numbers to improper fractions:
- For 28 1/8: \[ 28 \frac{1}{8} = \frac{28 \times 8 + 1}{8} = \frac{224 + 1}{8} = \frac{225}{8} \]
- For 1 7/8: \[ 1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{8 + 7}{8} = \frac{15}{8} \]
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Divide the capacity of the box by the weight of each book: \[ \text{Number of books} = \frac{28 \frac{1}{8}}{1 \frac{7}{8}} = \frac{\frac{225}{8}}{\frac{15}{8}} = \frac{225}{8} \times \frac{8}{15} = \frac{225}{15} = 15 \]
Conclusion:
- To determine how many books will fit, you divide.
- The answer is 15 books.
So, the answer to your first question is "Divide," and the answer to your second question is "15 books."
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