Find an equivalent ratio in simplest terms:
36, colon, 99
36:99

To simplify the ratio \(36:99\), we need to find the greatest common divisor (GCD) of 36 and 99, and divide both numbers by this GCD.

1. **Find the GCD of 36 and 99**:
   - The factors of 36 are: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)
   - The factors of 99 are: \(1, 3, 9, 11, 33, 99\)
   - The greatest common divisor is \(9\).

2. **Divide both numbers by 9**:
   \[
   \frac{36}{9} = 4, \quad \frac{99}{9} = 11
   \]

Thus, the simplified ratio is:
\[
4:11
\]

Would you like further details on how to find the GCD or any other clarifications?

Here are 5 related questions:
1. What is the process for finding the GCD of two numbers?
2. Can you simplify the ratio \(48:64\)?
3. How do you express a ratio as a fraction?
4. What are some real-life applications of ratios?
5. How do you convert a ratio into a percentage?

**Tip:** Always divide a ratio by the GCD to ensure it is in its simplest form.

Find an equivalent ratio in simplest terms: 36:99

Learn how to simplify the ratio 36:99 by finding the greatest common divisor (GCD) of 36 and 99. This step-by-step solution covers key concepts such as ratio simplification and the GCD, making it suitable for students in Grades 6-8.

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