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Convert 150 hours, 12 minutes, and 9 seconds into a different base.

Mathematics

ScanSolve AI Answer

Answer

21 घंटा 27 मिनट 27 सेकंड\text{21 घंटा 27 मिनट 27 सेकंड}

Step-by-step solution

5 steps
  1. Divide the hours by 7.

    150 hours÷7150 \text{ hours} \div 7 150=7×21+3150 = 7 \times 21 + 3

    This gives 21 hours21 \text{ hours} with a remainder of 3 hours3 \text{ hours}.

  2. Convert the remaining hours to minutes and add to the given minutes.

    3 hours=3×60 minutes=180 minutes3 \text{ hours} = 3 \times 60 \text{ minutes} = 180 \text{ minutes}

    Total minutes = 180 minutes+12 minutes=192 minutes180 \text{ minutes} + 12 \text{ minutes} = 192 \text{ minutes}.

  3. Divide the total minutes by 7.

    192 minutes÷7192 \text{ minutes} \div 7 192=7×27+3192 = 7 \times 27 + 3

    This gives 27 minutes27 \text{ minutes} with a remainder of 3 minutes3 \text{ minutes}.

  4. Convert the remaining minutes to seconds and add to the given seconds.

    3 minutes=3×60 seconds=180 seconds3 \text{ minutes} = 3 \times 60 \text{ seconds} = 180 \text{ seconds}

    Total seconds = 180 seconds+9 seconds=189 seconds180 \text{ seconds} + 9 \text{ seconds} = 189 \text{ seconds}.

  5. Divide the total seconds by 7.

    189 seconds÷7189 \text{ seconds} \div 7 189=7×27189 = 7 \times 27

    This gives 27 seconds27 \text{ seconds} with no remainder.

    Combining the results:
    The final answer is 21 घंटा 27 मिनट 27 सेकंड\text{21 घंटा 27 मिनट 27 सेकंड}.

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