Yes, the ratios **18:12** and **3:2** are equivalent.

To check if two ratios are equivalent, you can simplify the first ratio and see if it matches the second one. Let's simplify the ratio **18:12**:

1. Find the greatest common divisor (GCD) of 18 and 12, which is 6.
2. Divide both terms of the ratio by 6:
   \[
   \frac{18}{12} = \frac{18 \div 6}{12 \div 6} = \frac{3}{2}
   \]

Since **18:12** simplifies to **3:2**, the two ratios are indeed equivalent.

Would you like more details or have any further questions?

Here are 5 related questions to explore:
1. How do you find the GCD of two numbers?
2. Can you explain how to simplify a fraction?
3. What are some real-life examples where equivalent ratios are used?
4. Are all equivalent ratios also equivalent fractions?
5. What is the relationship between proportions and ratios?

**Tip:** Always reduce ratios to their simplest form to compare them easily!

Discover how to check if the ratios 18:12 and 3:2 are equivalent by simplifying the first ratio using the greatest common divisor (GCD). This problem teaches ratio simplification and comparison, ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation