Laceys cat eats 3/4 of a cup of cat food per day she has 2 1/2 cups left how many more days can she feed her cat

You want to convert cups to days

You can always multiply by 1 without changing things.
Since 3/4 c = 1 day, that means that
(3/4 c)/(1 day) = (1 day)/(3/4 c) = 1
Now multiply by the fraction that changes to the units you want.
(5/2 c) * 1day/(3/4 c) = 5/2 * 4/3 = 20/6 = 5 1/3 days