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113 LearnersLast updated on March 24th, 2025
17 minutes as a decimal
This is a simple question on time conversion. To convert minutes to a decimal form of an hour, we need to understand the relationship between minutes and hours. There are 60 minutes in one hour. A decimal represents fractions of a whole number, using a point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole hours, and those to the right represent the fractional part of an hour.
What is 17 minutes as a decimal?
Answer
17 minutes as a decimal of an hour can be written as 0.2833... This is a recurring decimal, indicating that the digits following the decimal point repeat infinitely.
Explanation
To convert 17 minutes into a decimal, we will use division. Since there are 60 minutes in an hour, 17 minutes is a fraction of an hour. Let's break down the process step by step:
Step 1: Recognize that 17 minutes is the numerator (part) and 60 minutes (whole hour) is the denominator.
Step 2: Divide 17 by 60 to see how much of an hour 17 minutes represents.
Step 3: Perform the division: 17 ÷ 60 = 0.2833...
Step 4: The result shows that 17 minutes is approximately 0.2833 hours, with the decimal repeating.
Step 5: As the division does not result in a remainder of 0, this is a recurring decimal.
The answer for 17 minutes as a decimal is 0.2833...
Important Glossaries for 17 minutes as a decimal
- Minutes: A unit of time equal to 1/60th of an hour.
- Decimal: A numerical representation that uses 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.
- Division: A mathematical operation where the dividend is divided by the divisor to find the quotient.
- Numerator and Denominator: Parts of a fraction where the numerator is the part being considered, and the denominator is the whole.
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