3 hours and 10 minutes as a decimal

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This is a simple question on converting time to a decimal. To do this, you need to understand how to express parts of an hour in decimal form. Time is usually given in hours and minutes, but when converting to a decimal, the minutes need to be expressed as a fraction of an hour. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 3 hours and 10 minutes as a decimal?

$3 hours and 10 minutes as a decimal$ Answer

3 hours and 10 minutes can be written as 3.16667. in decimal form. It is a recurring decimal, indicating that the digits repeat infinitely.

Explanation

To convert 3 hours and 10 minutes into a decimal, we first convert the minutes into a fraction of an hour. There are 60 minutes in an hour, so 10 minutes is 10/60 of an hour. Simplifying this fraction gives us 1/6. In decimal form, 1/6 is approximately 0.16667, which is a recurring decimal. Therefore, adding this to the whole hours, the total time in decimal form is 3 + 0.16667 = 3.16667. Let's see the Step-by-step Breakdown:

Step 1: Identify the total hours (3) and the additional minutes (10).

Step 2: Convert the minutes (10) into a fraction of an hour. Since there are 60 minutes in an hour, 10 minutes is 10/60, which simplifies to 1/6.

Step 3: Convert 1/6 to a decimal, which is approximately 0.16667 (recurring).

Step 4: Add the whole hours (3) to the decimal portion (0.16667) to get the total as 3.16667.

The answer for 3 hours and 10 minutes as a decimal is 3.16667.

Important Glossaries for 3 hours and 10 minutes as a decimal

Hour: A unit of time equal to 60 minutes.
Minute: A unit of time equal to 1/60 of an hour.
Decimal: A number 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 represents part of a whole, expressed as a quotient of two numbers (numerator/denominator).