Question
*
1 point
if a box can hold 28 1/8 kilograms, how many 1 7/8 kilogram books will it hold?
Answers
GPT-4o mini
To determine how many books weighing 1 7/8 kilograms each can fit into a box that can hold 28 1/8 kilograms, we need to divide the total weight capacity of the box by the weight of each book.
First, we convert the mixed numbers to improper fractions:
1. Convert 28 1/8 to an improper fraction:
\[
28 \frac{1}{8} = \frac{28 \times 8 + 1}{8} = \frac{224 + 1}{8} = \frac{225}{8}
\]
2. Convert 1 7/8 to an improper fraction:
\[
1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{8 + 7}{8} = \frac{15}{8}
\]
Now, we divide the total weight capacity of the box by the weight of one book:
\[
\text{Number of books} = \frac{\frac{225}{8}}{\frac{15}{8}} = \frac{225}{8} \times \frac{8}{15} = \frac{225}{15} = 15
\]
Thus, the box can hold **15 books** that each weigh 1 7/8 kilograms.
First, we convert the mixed numbers to improper fractions:
1. Convert 28 1/8 to an improper fraction:
\[
28 \frac{1}{8} = \frac{28 \times 8 + 1}{8} = \frac{224 + 1}{8} = \frac{225}{8}
\]
2. Convert 1 7/8 to an improper fraction:
\[
1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{8 + 7}{8} = \frac{15}{8}
\]
Now, we divide the total weight capacity of the box by the weight of one book:
\[
\text{Number of books} = \frac{\frac{225}{8}}{\frac{15}{8}} = \frac{225}{8} \times \frac{8}{15} = \frac{225}{15} = 15
\]
Thus, the box can hold **15 books** that each weigh 1 7/8 kilograms.