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Standard movie projectors project 2424 still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly 129600129600 total frames, then, to the nearest whole minute, how long is the movie?

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Full solution

Q. Standard movie projectors project 2424 still images, known as frames, each second. If a certain movie uses the standard frame rate and has exactly 129600129600 total frames, then, to the nearest whole minute, how long is the movie?
  1. Identify Given Information: Identify the given information and what needs to be calculated.\newlineWe know:\newline- The standard frame rate for movie projectors is 2424 frames per second.\newline- The total number of frames in the movie is 129600129600.\newlineWe need to calculate the total duration of the movie in minutes.
  2. Calculate Duration in Seconds: Calculate the total duration of the movie in seconds.\newlineTo find the duration in seconds, we divide the total number of frames by the frame rate per second.\newlineTotal duration in seconds = Total number of frames ÷\div Frame rate per second\newlineTotal duration in seconds = 129600÷24129600 \div 24
  3. Perform Division for Seconds: Perform the division to find the total duration in seconds.\newlineTotal duration in seconds = 129600÷24129600 \div 24\newlineTotal duration in seconds = 54005400
  4. Convert to Minutes: Convert the total duration from seconds to minutes.\newlineSince there are 6060 seconds in a minute, we divide the total duration in seconds by 6060 to find the duration in minutes.\newlineTotal duration in minutes == Total duration in seconds ÷60\div 60\newlineTotal duration in minutes =5400÷60= 5400 \div 60
  5. Perform Division for Minutes: Perform the division to find the total duration in minutes.\newlineTotal duration in minutes = 5400÷605400 \div 60\newlineTotal duration in minutes = 9090

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