Let's solve the expression step by step:

\[
\frac{3}{4} \times \frac{2}{4} \times \frac{6}{9}
\]

### Step 1: Multiply the numerators:
\[
3 \times 2 \times 6 = 36
\]

### Step 2: Multiply the denominators:
\[
4 \times 4 \times 9 = 144
\]

### Step 3: Simplify the fraction:
\[
\frac{36}{144}
\]

To simplify, divide both the numerator and denominator by their greatest common divisor (GCD), which is 36:
\[
\frac{36}{144} = \frac{1}{4}
\]

So, the value of the expression is:

\[
\boxed{\frac{1}{4}}
\]

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. What is the process for multiplying and simplifying fractions?
2. How can we find the greatest common divisor (GCD) of two numbers?
3. Can we apply the same steps to division of fractions?
4. What happens when we multiply fractions with different signs (positive and negative)?
5. How do we convert improper fractions to mixed numbers?

**Tip:** Always simplify fractions to their lowest terms for easier interpretation and comparison.

Learn how to multiply and simplify the fractions 3/4, 2/4, and 6/9 step by step. This problem covers key concepts like multiplying numerators and denominators, and simplifying fractions using the greatest common divisor (GCD). Suitable for students in Grades 5-7.

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