What is the next fraction in this sequence? Simplify your answer.

3
11
 ,  
3
22
 ,  
3
44
 ,  
3
88
 ,  ...

The given sequence of fractions is:

\[
\frac{3}{11}, \frac{3}{22}, \frac{3}{44}, \frac{3}{88}, \ldots
\]

To find the next fraction, observe the pattern in the denominators:  
11, 22, 44, 88, ...

Each denominator is doubling from the previous term:
- \( 11 \times 2 = 22 \)
- \( 22 \times 2 = 44 \)
- \( 44 \times 2 = 88 \)

Thus, the next denominator will be:
\[
88 \times 2 = 176
\]

Therefore, the next fraction in the sequence is:
\[
\frac{3}{176}
\]

This fraction is already in its simplest form.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How do you recognize patterns in fraction sequences?
2. What are common techniques for simplifying fractions?
3. Can you describe the process of determining the next term in an arithmetic sequence?
4. What other types of sequences exist besides arithmetic sequences?
5. How do you find the nth term in a sequence?

**Tip:** In a sequence of fractions, carefully analyzing the numerators and denominators separately can reveal important patterns.

What is the next fraction in this sequence? Simplify your answer. 3/11, 3/22, 3/44, 3/88, ...

Discover how to find the next fraction in the sequence 3/11, 3/22, 3/44, 3/88 by identifying a pattern in the denominators. The solution involves multiplying the previous denominator by 2, making this a perfect problem for students in Grades 5-7 who are learning about fractions and sequences.

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