Step 1 :Given the problem, we need to subtract the fractions \(\frac{5}{6}\) and \(\frac{3}{5}\).
Step 2 :To subtract fractions, we need to have a common denominator. The common denominator of 6 and 5 is 30.
Step 3 :So, we need to convert both fractions to have this common denominator. We get \(\frac{25}{30}\) and \(\frac{18}{30}\).
Step 4 :Then, we can subtract the numerators. We get \(\frac{25}{30} - \frac{18}{30} = \frac{7}{30}\).
Step 5 :After that, we simplify the fraction if possible. In this case, the fraction is already in its simplest form.
Step 6 :Final Answer: The result of the subtraction is \(\boxed{\frac{7}{30}}\).