Step 1 :Convert the fractions to have a common denominator: \(\frac{1}{5} = \frac{3}{15}\) and \(\frac{1}{3} = \frac{5}{15}\)
Step 2 :Add the two fractions together: \(\frac{3}{15} + \frac{5}{15} = \frac{8}{15}\)
Step 3 :So, Ali has cut off \(\frac{8}{15}\) of the pipe in total.
Step 4 :Final Answer: \(\boxed{\frac{8}{15}}\)