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112 LearnersLast updated on March 24th, 2025
5 hours and 40 minutes as a decimal
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.
What is 5 hours and 40 minutes as a decimal?
Answer
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.
Explanation
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...
Important Glossaries for 5 hours and 40 minutes as a decimal
- Hour: A unit of time equal to 60 minutes.
- Minute: A unit of time equal to 1/60th of an hour.
- Decimal: A numerical representation that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
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