Three ropes are 120 inches long, 90 inches long and 150 inches long. They are cut into sections with no remaining parts. If each section has the same length, what is the largest possible length for each section? How many sections can we get altogether?

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Answer to the question:

Since each section has the same length, that means we need to find the common factors of 120, 90 and 150. Since we need to find the largest possible length of each section, we need to find the greatest common factor. That is 30. So the largest possible length of each section is 30 inches.

The rope that is 120 inches long is cut into 4 sections. The rope that is 90 inches long is cut into 3 sections. The rope that is 150 inches long is cut into 5 sections. Therefore, all the ropes are cut into a total of 12 sections.

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