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Four students made videos for an art project. The table shows the length of each video.

Art in Nature
Video Time (in hours)
1 4⁵/₈
2 4³/₅
3 2³/₄
4 2¹/₇

for each pair of videos enter the correct difference between their times.
a. video 1 and video 3 have a difference of __ hours between their times
b. video 2 and video 3 have a difference of __ hours between their times
c. video 2 and video 4 have a difference of __ hours between their times

1 Answer

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Final answer:

The calculated time differences between the videos are 1.875 hours for video 1 and 3, 1.85 hours for video 2 and 3, and approximately 2.457 hours for video 2 and 4.

Step-by-step explanation:

The question involves finding the difference in times between pairs of videos as part of an art project. To calculate the difference, we need to subtract the time length of one video from the time length of another. It is important to carefully subtract fractional hours, which may require converting improper fractions to mixed numbers or borrowing from the whole number part.

Let's go through each pair:

  1. Video 1 (45/8 hours) and Video 3 (23/4 hours): The difference is 1 hour and 7/8 of an hour (or 1.875 hours).
  2. Video 2 (43/5 hours) and Video 3 (23/4 hours): The difference is 1 hour and 17/20 of an hour (or 1.85 hours).
  3. Video 2 (43/5 hours) and Video 4 (21/7 hours): The difference is 2 hours and 16/35 of an hour (or approximately 2.457 hours).

Therefore, the correct differences between their times are:

  • a. Video 1 and Video 3 have a difference of 1.875 hours between their times.
  • b. Video 2 and Video 3 have a difference of 1.85 hours between their times.
  • c. Video 2 and Video 4 have a difference of approximately 2.457 hours between their times.

To solve these problems, you subtract the lengths of the videos, making sure to deal with improper fractions and mixed numbers appropriately. When calculations are finished, the results provide the differences in times between each pair of videos.

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