What is the simplest form of 55 mins as a fraction of two and quarter hour
2 1/4 hr = 135 min
55/135 = 11/27
To find the simplest form of 55 minutes as a fraction of two and a quarter hours, we need to convert both the minutes and the hours to a common unit.
There are 60 minutes in one hour. So, two and a quarter hour can be written as 2 hours + 0.25 hours (15 minutes).
Now, we need to convert the 55 minutes to hours. We can divide 55 minutes by 60 minutes per hour:
55 minutes ÷ 60 minutes/hour = 0.9167 hours (rounded to four decimal places)
Adding the 0.9167 hours to the 2.25 hours, we have:
2.25 hours + 0.9167 hours = 3.1667 hours (rounded to four decimal places)
Therefore, 55 minutes is equal to 3.1667 hours.
To express this as a fraction, the denominator needs to be a power of 10. Multiply both the numerator and denominator by 10,000 to eliminate the decimal.
3.1667 hours * 10,000 = 31,667
So, 55 minutes is equivalent to the fraction:
31,667/10,000
However, we can simplify this fraction further by finding the greatest common divisor (GCD) of the numerator and denominator, which is 1.
Therefore, the simplest form of 55 minutes as a fraction of two and a quarter hours is:
31,667/10,000 (or alternatively, 31667:10000)
To find the simplest form of 55 minutes as a fraction of two and a quarter hours, you need to convert both quantities to a common unit of measurement, such as minutes.
First, convert two and a quarter hours to minutes. Since there are 60 minutes in an hour, we can multiply 2 by 60 and add the additional 15 minutes for the quarter hour.
2 hours = 2 * 60 = 120 minutes
Quarter hour = 15 minutes
So, two and a quarter hours can be written as 120 + 15 = 135 minutes.
Now, we can compare this to the 55 minutes.
55 minutes / 135 minutes
To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD is 5.
So, dividing both the numerator and denominator by 5 gives us:
55 minutes / 135 minutes = 11/27
Therefore, the simplest form of 55 minutes as a fraction of two and a quarter hours is 11/27.