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.

• 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).