Step 1 :Given the problem: \(\frac{5}{3}-\frac{7}{3}\)
Step 2 :Since the denominators are the same, we can subtract the numerators: \(\frac{5-7}{3}\)
Step 3 :Simplify the numerator: \(\frac{-2}{3}\)
Step 4 :\(\boxed{-\frac{2}{3}}\) is the final answer.