Simplify the following fraction: start fraction, 6, divided by, 33, 
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To simplify the fraction \(\frac{6}{33}\), we need to find the greatest common divisor (GCD) of 6 and 33 and then divide both the numerator and the denominator by this GCD.

The GCD of 6 and 33 is 3.

Now, divide both the numerator and the denominator by 3:

\[
\frac{6 \div 3}{33 \div 3} = \frac{2}{11}
\]

So, the simplified fraction is \(\frac{2}{11}\).

Would you like more details or have any questions?

Here are some related questions to explore:
1. How do you find the GCD of two numbers?
2. What is the significance of simplifying fractions in algebra?
3. How can you verify if a fraction is already in its simplest form?
4. What are prime numbers, and how do they relate to simplifying fractions?
5. How would you simplify the fraction \(\frac{15}{45}\)?

**Tip:** Simplifying fractions is a key step in many algebraic operations and helps make calculations easier and more accurate.

Learn how to simplify the fraction 6/33 with a step-by-step solution. Understand the concept of fractions, find the greatest common divisor (GCD), and apply simplification techniques. Suitable for students in Grades 6-8.

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