https://file.aiquickdraw.com/mathbot/file/1726663603625k3o3xqik.jpg

Let's examine the sequence of fractions provided:

\[
\frac{7}{22}, \frac{7}{44}, \frac{7}{88}, \frac{7}{176}, \dots
\]

We can observe a pattern in the denominators:
- 22, 44, 88, 176

Each denominator doubles the previous one:  
\[ 22 \times 2 = 44, \quad 44 \times 2 = 88, \quad 88 \times 2 = 176 \]

Therefore, the next denominator should be:
\[ 176 \times 2 = 352 \]

The numerator remains 7 in all terms, so the next fraction is:
\[
\frac{7}{352}
\]

This fraction is already in its simplest form.

Would you like a detailed explanation on how I derived the pattern?

Here are 5 related questions you can consider:
1. How can you identify patterns in a sequence of numbers?
2. What would happen if the numerators also changed in the sequence?
3. Can sequences with different rules (e.g., geometric sequences) appear similar at first glance?
4. How could you describe this sequence algebraically?
5. How does this method apply to non-fraction sequences?

**Tip:** When working with sequences, it's helpful to observe how each term changes relative to the previous one (either through multiplication, division, addition, or subtraction).

What is the next fraction in this sequence? Simplify your answer: 7/22, 7/44, 7/88, 7/176...

Find out how to determine the next fraction in the sequence 7/22, 7/44, 7/88, and 7/176. Learn the step-by-step method of identifying patterns and simplifying fractions. This problem is ideal for students in Grades 5-7.

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