To subtract the fractions $\frac{3}{5} - \frac{5}{6}$, we first need to find a common denominator.

Step 1: Find the least common denominator (LCD)

The denominators are 5 and 6, and their least common denominator is 30.

Step 2: Convert both fractions

We rewrite each fraction so that they have the common denominator of 30.

$\frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30}$ $\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}$

Step 3: Subtract the fractions

Now, subtract the numerators while keeping the denominator:

$\frac{18}{30} - \frac{25}{30} = \frac{18 - 25}{30} = \frac{-7}{30}$

So, the result is:

$\frac{3}{5} - \frac{5}{6} = \frac{-7}{30}$

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you add fractions with different denominators?
2. What happens if the result of a fraction subtraction is negative?
3. How do you simplify fractions after performing operations on them?
4. Can you multiply two fractions with different denominators without finding a common one?
5. What is the greatest common divisor, and how is it used in fraction simplification?

Tip: Always simplify your final answer if possible by dividing both the numerator and the denominator by their greatest common divisor.