In West Virginia, 100 days of the year (365)have temperatures less than32 degrees Fahrenheir. What (reduced) fraction of the days is that?
I'm not sure how to go about finding the answer. Can you please help?
well, just write
100/365
obviously 5 divides both top and bottom, so divide it out to get
20/73
Since 73 is prime, it has no factors in common with 20, so that's as far as you can go.
100 out of 368 days =
100/365 = 20/73
20.73
Certainly! To find the reduced fraction representing the number of days with temperatures below 32 degrees Fahrenheit, we first need to determine the numerator and denominator of the fraction.
The numerator represents the number of days with temperatures below 32 degrees Fahrenheit, which in this case is 100 days.
The denominator represents the total number of days in a year, which is 365 days.
To get the reduced fraction, we can simplify the numerator and denominator by finding their greatest common divisor (GCD) and dividing both the numerator and the denominator by it.
To find the GCD of 100 and 365, we can use the Euclidean algorithm, which involves dividing the larger number (365) by the smaller number (100) and then finding the remainder. We repeat this process with the previous divisor (100) and the remainder, until we reach a remainder of 0.
Here's how the calculation looks:
365 ÷ 100 = 3 remainder 65
100 ÷ 65 = 1 remainder 35
65 ÷ 35 = 1 remainder 30
35 ÷ 30 = 1 remainder 5
30 ÷ 5 = 6 remainder 0
The GCD of 100 and 365 is 5.
Now, we can divide both the numerator and the denominator by the GCD:
Numerator (100 ÷ 5) = 20
Denominator (365 ÷ 5) = 73
Therefore, the reduced fraction representing the number of days with temperatures below 32 degrees Fahrenheit in West Virginia is 20/73.
I hope this helps! Let me know if you have any more questions.