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...

• 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.