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To evaluate the expression \( \frac{8}{11} - \frac{1}{12} \), we follow these steps:

### Step 1: Find a common denominator.
The denominators are 11 and 12, so the least common denominator (LCD) is the least common multiple (LCM) of 11 and 12. Since 11 and 12 are relatively prime, their LCM is \( 11 \times 12 = 132 \).

### Step 2: Rewrite the fractions with the common denominator.
We convert both fractions to have the denominator 132:

\[
\frac{8}{11} = \frac{8 \times 12}{11 \times 12} = \frac{96}{132}
\]
\[
\frac{1}{12} = \frac{1 \times 11}{12 \times 11} = \frac{11}{132}
\]

### Step 3: Subtract the fractions.
Now that the fractions have the same denominator, subtract the numerators:

\[
\frac{96}{132} - \frac{11}{132} = \frac{96 - 11}{132} = \frac{85}{132}
\]

### Step 4: Simplify the fraction.
The fraction \( \frac{85}{132} \) is already in its simplest form because 85 and 132 have no common factors other than 1.

### Final Answer:
\[
\frac{8}{11} - \frac{1}{12} = \frac{85}{132}
\]

Would you like any additional details or have any questions about this process?

Here are 5 related questions to explore further:
1. How do you find the least common denominator for any two fractions?
2. Can you explain why finding a common denominator is necessary for adding or subtracting fractions?
3. How can you simplify a fraction if the numerator and denominator share common factors?
4. What is the LCM of 15 and 20, and how does it help with fractions?
5.

Evaluate the expression \( \frac{8}{11} - \frac{1}{12} \) and write your answer as a fraction in simplest form.

Learn how to subtract fractions with different denominators using the least common denominator (LCD) method. This problem evaluates \( \frac{8}{11} - \frac{1}{12} \), with a step-by-step solution suitable for Grades 6-8.

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