To determine the correct answer, let's carefully read the question and understand the requirement. The problem is asking for the specific amount to which the pipe cutter should be tightened with each revolution of the tube cutter until the pipe is fully cut.
The correct answer for how much to tighten the cutter with each revolution is [tex]\(\frac{1}{4}\)[/tex].
Let's evaluate the options provided:
A) [tex]\(1 / 4,1 / 2\)[/tex]
B) [tex]\(1 / 2,3 / 4\)[/tex]
C) [tex]\(1 / 2,7 / 8\)[/tex]
D) [tex]\(1 / 4,3 / 4\)[/tex]
From the choices, we need to find the option that contains the fraction [tex]\(\frac{1}{4}\)[/tex]. The options A and D both include [tex]\(\frac{1}{4}\)[/tex]. Now, recall that according to the requirement only [tex]\(\frac{1}{4}\)[/tex] turn with each revolution is correct and no additional information changes this.
Thus, the only option that pairs [tex]\(\frac{1}{4}\)[/tex] with another logical choice given the context of the problem is:
A) [tex]\(\frac{1}{4}, \frac{1}{2}\)[/tex]
However, since the context involves tightening the cutter to precisely [tex]\(\frac{1}{4}\)[/tex] turn and no additional turning fraction is stated for each completion, it leaves option D:
D) [tex]\( \frac{1}{4}, \frac{3/4} \)[/tex] as the most distractor which we eliminate since it provides misleading turning fraction together.
Therefore, the correct answer remains purely pointing:
A) [tex]\(\frac{1}{4}\)[/tex].
But eliminating other alongside, the selection directly places answer rooted towards:
A) [tex]\(\frac{1/4}\)[/tex] as prescribed turning fraction amongst positional errors of the other larger distinct answers.
Thus, answering correctly aligns:
Answer: A) [tex]\(\frac{1}{4}\)[/tex]
