The expression you've provided is:

\[
(12 - \frac{2}{2})(6 \times 4 - \frac{2}{7})
\]

Let's break it down step by step.

1. **Simplify the first part**:  
   \[
   12 - \frac{2}{2} = 12 - 1 = 11
   \]

2. **Simplify the second part**:  
   \[
   6 \times 4 - \frac{2}{7} = 24 - \frac{2}{7}
   \]

So, the expression now is:

\[
11 \times \left(24 - \frac{2}{7}\right)
\]

3. **Distribute the 11**:  
   \[
   11 \times 24 - 11 \times \frac{2}{7}
   \]

4. **Multiply**:  
   \[
   11 \times 24 = 264
   \]
   \[
   11 \times \frac{2}{7} = \frac{22}{7}
   \]

So, the final expression is:

\[
264 - \frac{22}{7}
\]

Which can be left in this form or converted to a mixed number:

\[
264 - 3 \frac{1}{7} = 260 \frac{6}{7}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify expressions with fractions?
2. What is the distributive property in algebra?
3. How do you convert improper fractions to mixed numbers?
4. Can you add or subtract fractions with different denominators?
5. How do you multiply fractions?

**Tip:** Always simplify fractions and expressions step by step to avoid mistakes in complex problems.

(12 - $$ \frac22 $$)(6x4 - $$ \frac27 $$)

Explore how to simplify the algebraic expression (12 - 2/2)(6x4 - 2/7) using the distributive property and fraction simplification. Learn step-by-step how to handle fractions and multiplication. Suitable for students in Grades 6-8.

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