Gary is weeding his vegetable garden.
It takes him 45 seconds to weed 3 square feet.
The vegetable garden is in the shape of a rectangle that is 4 yards by 6 yards.
How many MINUTES will it take Gary to weed his entire vegetable garden?
First, we need to convert the dimensions of the vegetable garden from yards to feet.
4 yards = 4 * 3 = <<4*3=12>>12 feet
6 yards = 6 * 3 = <<6*3=18>>18 feet
The total area of the vegetable garden is 12 feet * 18 feet = <<12*18=216>>216 square feet.
Gary takes 45 seconds to weed 3 square feet, so he takes 216 square feet / 3 square feet * 45 seconds = <<216/3*45=3240>>3240 seconds to weed the entire garden.
There are 60 seconds in a minute, so Gary will take 3240 seconds / 60 seconds/minute = <<3240/60=54>>54 minutes to weed his entire vegetable garden. Answer: \boxed{54}.