Let's check if \( \frac{8}{11} = \frac{34}{44} \) by simplifying or comparing the two fractions.

### Step 1: Simplify \( \frac{34}{44} \)

- Find the greatest common divisor (GCD) of 34 and 44. The GCD is 2.
- Divide both the numerator and denominator of \( \frac{34}{44} \) by 2:

\[
\frac{34}{44} = \frac{34 \div 2}{44 \div 2} = \frac{17}{22}
\]

### Step 2: Compare \( \frac{8}{11} \) with \( \frac{17}{22} \)

- To compare, bring both fractions to a common denominator. The least common denominator (LCD) between 11 and 22 is 22.
- Convert \( \frac{8}{11} \) to have the denominator of 22:

\[
\frac{8}{11} = \frac{8 \times 2}{11 \times 2} = \frac{16}{22}
\]

Now, we compare \( \frac{16}{22} \) with \( \frac{17}{22} \). Clearly:

\[
\frac{16}{22} \neq \frac{17}{22}
\]

### Conclusion:
No, \( \frac{8}{11} \neq \frac{34}{44} \).

Do you want more details or have any questions? 

Here are 5 related questions you can explore:
1. How do you find the greatest common divisor (GCD)?
2. What is the least common denominator, and how is it used?
3. Can fractions be compared without converting them to a common denominator?
4. What is the process for simplifying a fraction?
5. How can you convert an improper fraction to a mixed number?

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

Learn how to compare fractions by simplifying them and finding a common denominator. This step-by-step guide explains whether 8/11 is equal to 34/44, covering essential fraction concepts suitable for Grades 4-6.

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