Sure, let's break down the problem step-by-step.
1. Understanding the problem: We have a pipe that is initially [tex]\(\frac{4}{7}\)[/tex] inches long, and we want to shorten it to [tex]\(\frac{3}{8}\)[/tex] inches. We need to determine how much length must be removed.
2. Initial length: The initial length of the pipe is [tex]\(\frac{4}{7}\)[/tex] inches. Converting this to a decimal for easier subtraction gives approximately 0.5714285714285714 inches.
3. Final length: The desired length of the pipe is [tex]\(\frac{3}{8}\)[/tex] inches. Converting this to a decimal gives approximately 0.375 inches.
4. Calculating the length to be removed:
[tex]\[
\text{Length to be removed} = \text{Initial length} - \text{Final length}
\][/tex]
Substituting the values in gives:
[tex]\[
0.5714285714285714 - 0.375 = 0.1964285714285714
\][/tex]
5. Conclusion: Therefore, the length that must be removed is approximately 0.1964285714285714 inches.
In summary:
- Initial length of the pipe: 0.5714285714285714 inches.
- Final length of the pipe: 0.375 inches.
- Length to be removed: 0.1964285714285714 inches.
So, to shorten the [tex]\(\frac{4}{7}\)[/tex] inch pipe to [tex]\(\frac{3}{8}\)[/tex] inch, approximately 0.1964285714285714 inches must be removed.
