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A bookshelf is 42 inches long.

b.) A bookcase has 5 of these bookshelves. How many feet of shelf space is there?

There is _____ ft of shelf space. (Write your answer as a mixed number.)

Answer :

To solve the problem, we need to calculate the total length of shelf space in feet for a bookcase that has 5 bookshelves.

1. Length of One Bookshelf:
- Each bookshelf is 42 inches long.

2. Total Length in Inches:
- Since the bookcase has 5 shelves, we multiply the length of one shelf by the number of shelves:
[tex]\(42 \text{ inches} \times 5 = 210 \text{ inches}\)[/tex].

3. Convert Inches to Feet:
- There are 12 inches in a foot. To convert the total length from inches to feet, divide by 12:
[tex]\[210 \text{ inches} \div 12 = 17.5 \text{ feet}\][/tex].

4. Express as a Mixed Number:
- The result is 17.5 feet. This can be written as a mixed number:
- 17 feet is the whole number part.
- 0.5 feet equals 6 inches (since 0.5 times 12 equals 6).
- So, the total shelf space in feet can be expressed as [tex]\(17 \frac{6}{12} \text{ feet}\)[/tex].
- Simplified, [tex]\(17 \frac{6}{12}\)[/tex] is the same as [tex]\(17 \frac{1}{2}\)[/tex].

Therefore, there is [tex]\(17 \frac{1}{2}\)[/tex] feet of shelf space in the bookcase.

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