TEAS Math Problem Solving Practice Test 2

Pete, Dan, and Carlyle had to dig a 2-foot deep trench to run conduit to their garage so they could wire it for electricity. To share the work, each agreed to dig 1/3 of the way from the house to the garage. Dan went first and dug 1/9 of the total distance early the next morning.
What fraction of the total amount of work did Dan still need to complete?