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.

Learn how to subtract the fractions 3/5 - 5/6 using the least common denominator (LCD). This problem demonstrates key fraction subtraction techniques and offers a detailed solution suitable for students in Grades 5-7.

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