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Last updated on March 24th, 2025
This is a simple question about converting time into a decimal. First, we need to understand how to represent time in hours and minutes. An hour is a standard unit of time, and a minute is a smaller unit of time within an hour. There are 60 minutes in one hour. A decimal representation of time allows us to express a portion of an hour as a decimal number. The whole number part represents the complete hours, and the decimal part represents the fraction of an hour.
5 hours and 40 minutes as a decimal can be written as 5.6666… It is a recurring decimal, indicating that the fraction of hours will repeat the same digit infinitely.
To convert 5 hours and 40 minutes into a decimal, we'll use division. Since there are 60 minutes in an hour, 40 minutes is a fraction of an hour. Let's see the step-by-step breakdown of the process:
Step 1: Identify the total hours and minutes. We have 5 hours and 40 minutes.
Step 2: Convert the minutes to a fraction of an hour. Since there are 60 minutes in an hour, the fraction is 40/60.
Step 3: Simplify the fraction 40/60 to 2/3.
Step 4: Convert the fraction 2/3 into a decimal by dividing 2 by 3, which gives us 0.6666...
Step 5: Add this decimal to the whole hours: 5 + 0.6666... = 5.6666...
This process shows that 5 hours and 40 minutes as a decimal is 5.6666...