the width of a vegetable garden is 1/3 its length. If the length of the garden is 7 3/4 feet ,what is the width in simplest form

To find the width, multiply the length (7 3/4 ft) by 1/3:
1 31
--- * ------- = 31/12 ft; this comes out to 2 ft 7/12 inches, or 2 7/12 ft.
3 4
The width of the garden is 2 7/12 ft.