https://file.aiquickdraw.com/mathbot/file/17260050470283vj9x56q.jpg

The problem in the image asks: "Find the number that makes the ratio equivalent to 9:45" with the format \(\frac{x}{5}\).

To solve this, we want to find the value of \( x \) so that the ratio \( \frac{x}{5} \) is equivalent to \( \frac{9}{45} \).

### Step-by-step solution:
1. The ratio \( 9:45 \) simplifies by dividing both 9 and 45 by their greatest common divisor, which is 9:
   \[
   \frac{9}{45} = \frac{1}{5}
   \]
2. Now, we want \( \frac{x}{5} \) to also equal \( \frac{1}{5} \). Therefore:
   \[
   \frac{x}{5} = \frac{1}{5}
   \]
3. This means that \( x = 1 \).

### Conclusion:
The number that makes the ratio equivalent to \( 9:45 \) is \( x = 1 \).

Do you want further clarification or more details on ratios? Here are five related questions you might want to explore:

1. How do you simplify ratios in general?
2. What are other examples of equivalent ratios?
3. How do ratios relate to proportions?
4. How can you find a missing term in a ratio when given two equivalent ratios?
5. How do you apply ratios in real-world problems?

**Tip:** When simplifying ratios, always check for the greatest common divisor to reduce the ratio to its simplest form.

Find the number that makes the ratio equivalent to 9:45 (in the form x:5).

Learn how to find the missing number that makes the ratio equivalent to 9:45, using simplifying ratios and proportions. This problem is suitable for students in Grades 5-7.

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