what fraction of an hour is 900 seconds?
The correct answer and explanation is:
To find what fraction of an hour 900 seconds represents, you first need to know how many seconds there are in one hour.
1 hour is equal to 60 minutes, and each minute has 60 seconds. So, the total number of seconds in one hour is: 60×60=3600 seconds60 \times 60 = 3600 \text{ seconds}
Now, to express 900 seconds as a fraction of an hour, divide the number of seconds (900) by the total number of seconds in an hour (3600): 9003600\frac{900}{3600}
Simplifying this fraction, divide both the numerator and the denominator by 900: 900÷9003600÷900=14\frac{900 \div 900}{3600 \div 900} = \frac{1}{4}
So, 900 seconds is equal to 14\frac{1}{4} of an hour.
Explanation:
This problem is a simple example of converting between different units of time, in this case, from seconds to a fraction of an hour. It is important to understand how time units relate to each other. Since there are 60 minutes in an hour and 60 seconds in a minute, the total number of seconds in an hour is 3600. By dividing the number of seconds you have (900) by the total seconds in an hour (3600), you calculate what fraction of an hour those seconds represent.
This type of calculation is useful in many fields such as time management, physics, and even work scenarios where you need to calculate work done in specific time frames. The simplified fraction of 14\frac{1}{4} indicates that 900 seconds is exactly one-quarter of an hour.