4.5 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 9/2. So the answer is 9/2 hours.
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To convert 1 hour 45 minutes to a fraction, you need to first convert the minutes to hours. Since there are 60 minutes in an hour, 45 minutes is equivalent to 45/60 = 3/4 hours. Therefore, 1 hour 45 minutes can be written as 1 + 3/4 = 1 3/4 hours. In fraction form, this is 7/4.
The number 45 is the same as 45/1, therefore you can change 45 to a fraction of 45/1.
Oh honey, it's simple math. 2 hours is the same as 120 minutes, so you add that to the 45 minutes you already have to get 165 minutes total. Now, just slap that over 60 minutes in an hour and simplify it down to 11/4 or 2 3/4. Voila!
45 is an integer, not a fraction.