Sure, let's tackle the problem step by step.
1. Start with the initial length of the pipe:
The initial length of the pipe is given as [tex]\(\frac{4}{7}\)[/tex] inches.
2. Determine the desired length:
The desired length of the pipe is [tex]\(\frac{3}{8}\)[/tex] inches.
3. Calculate the difference between the initial length and the desired length:
To find out how much of the pipe needs to be removed, we need to subtract the desired length from the initial length.
[tex]\[ \text{Initial length} - \text{Desired length} = \frac{4}{7} - \frac{3}{8} \][/tex]
4. Convert these fractions to decimals:
- [tex]\(\frac{4}{7}\)[/tex] approximately equals [tex]\(0.5714285714285714\)[/tex]
- [tex]\(\frac{3}{8}\)[/tex] equals [tex]\(0.375\)[/tex]
5. Perform the subtraction:
[tex]\[ 0.5714285714285714 - 0.375 = 0.1964285714285714 \][/tex]
So, to shorten the pipe from [tex]\(\frac{4}{7}\)[/tex] inch to [tex]\(\frac{3}{8}\)[/tex] inch, you must remove approximately [tex]\(0.1964285714285714\)[/tex] inches.
Therefore, you need to remove approximately 0.196 inches from the pipe.
