Final answer:
To simplify the ratio of 36 minutes to 1 hour 20 minutes, convert hours to minutes to get 80 minutes. Then divide both 36 and 80 by their GCD, which is 4, resulting in a simplest form of 9:20.
Step-by-step explanation:
To write the ratio of 36 minutes to 1 hour 20 minutes in its simplest form, we first need to convert all the time to the same units. Since we are comparing with minutes, let's convert hours into minutes.
1 hour = 60 minutes
So, 1 hour 20 minutes = 60 minutes + 20 minutes = 80 minutes.
Now we have the ratio as 36 minutes to 80 minutes.
The simplest form of this ratio can be found by dividing both numbers by the greatest common divisor (GCD). The GCD of 36 and 80 is 4.
Dividing both by 4:
36 ÷ 4 = 9
80 ÷ 4 = 20
So, the simplest form of the ratio is 9:20.