Question 52 - Mathematics Practice Test for the TEAS

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 \(\frac{1}{3}\) of the way from the house to the garage. Dan went first and dug \(\frac{1}{9}\) of the total distance early the next morning. What fraction of the total amount of work did Dan still need to complete?