To find the ratio of comedy movies to science fiction movies in Jacob's collection, you can simply divide the number of comedy movies by the number of science fiction movies:
Ratio = Number of Comedy Movies / Number of Science Fiction Movies
Ratio = 12 (Comedy) / 20 (Science Fiction)
Now, simplify this ratio to its simplest form by finding the greatest common divisor (GCD) of 12 and 20, and then divide both numbers by the GCD:
GCD of 12 and 20 is 4.
So, divide both numbers by 4:
(12 / 4) / (20 / 4) = 3/5
So, the ratio of comedy movies to science fiction movies in Jacob's collection is 3/5.