How long is 1600 minutes?

Understand the Problem

The question is asking for the equivalent duration of 1600 minutes expressed in hours and minutes.

Answer

$26$ hours and $40$ minutes
Answer for screen readers

The equivalent duration of 1600 minutes is $26$ hours and $40$ minutes.

Steps to Solve

  1. Convert minutes to hours

To find the number of hours in 1600 minutes, divide the total minutes by 60 (since there are 60 minutes in an hour).

$$ \text{Hours} = \frac{1600}{60} $$

  1. Calculate the whole hours

Perform the division to find out how many whole hours fit into 1600 minutes.

$$ \text{Whole Hours} = 26 \text{ (the integer part of the division)} $$

  1. Calculate remaining minutes

To find out the remaining minutes after calculating the hours, take the total minutes and subtract the minutes accounted for by the whole hours.

First, calculate the total minutes used in the whole hours:

$$ \text{Minutes Used} = 26 \times 60 = 1560 $$

Now, subtract this from the total minutes:

$$ \text{Remaining Minutes} = 1600 - 1560 = 40 $$

  1. Combine hours and minutes

The final result combines the whole hours and remaining minutes to express the total time in hours and minutes.

The equivalent is $26$ hours and $40$ minutes.

The equivalent duration of 1600 minutes is $26$ hours and $40$ minutes.

More Information

Converting minutes to hours is a common operation, especially when dealing with time. There are 60 minutes in one hour, making it easy to convert by division. It’s useful to know how to express time in different units, as this can help with scheduling and time management.

Tips

  • Not considering the integer part of the division could lead to incorrect hours.
  • Failing to subtract the total used minutes from the original minutes may result in an incorrect count of remaining minutes.

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