To determine how long the wood blocks would be if eight blocks, each with a length of [tex]\(2 \frac{3}{8}\)[/tex] feet, were laid end-to-end, we follow these steps:
1. Convert the mixed number to an improper fraction:
- The mixed number [tex]\(2 \frac{3}{8}\)[/tex] consists of a whole number part and a fractional part.
- Here's how we convert this to an improper fraction:
[tex]\[
2 \frac{3}{8} = 2 + \frac{3}{8}
\][/tex]
- Converting the whole number part (2) to a fraction with the same denominator as the fractional part (8):
[tex]\[
2 = \frac{16}{8}
\][/tex]
- Adding the fractions together:
[tex]\[
\frac{16}{8} + \frac{3}{8} = \frac{19}{8}
\][/tex]
2. Determine the total length when 8 blocks are laid end-to-end:
- Each block is [tex]\(\frac{19}{8}\)[/tex] feet long.
- So for eight blocks, multiply the length of one block by 8:
[tex]\[
\text{Total length} = 8 \times \frac{19}{8}
\][/tex]
- Simplifying the multiplication:
[tex]\[
\text{Total length} = \frac{19}{8} \times 8 = \frac{19 \times 8}{8} = 19
\][/tex]
- The result is 19 feet.
3. Convert the total length back to a mixed number if necessary:
- In this case, the total length is already a whole number, so no further conversion is needed.
4. Verify the result:
- If we consider the total length computed, it's clear:
[tex]\[
8 \times 2 \frac{3}{8} = 19 \text{ feet}
\][/tex]
Thus, when eight blocks are laid end-to-end, the total length of the wood blocks is:
19 feet.
Among the given options, the correct choice is:
- 19 feet.
