RATIO: 8_x3o3-3iic

What is Ratio?

A ratio is a way of comparing two quantities.

Example: The ratio of apples to oranges is 3:5.

Simplest Form: A ratio can be simplified by dividing both numbers by their greatest common divisor (GCD).

How to Simplify a Ratio

1. Identify the two quantities being compared.
2. Find the GCD of these two quantities.
3. Divide each number by the GCD to get the simplest form.

Example: Simplify the ratio 12:18.

• GCD of 12 and 18 is 6.
• Simplified ratio: 12 ÷ 6 = 2; 18 ÷ 6 = 3 → 2:3.

Practice Problems

Problem 1: Simplify the ratio 15:25.

Problem 2: Simplify the ratio 24:36.

Problem 3: Simplify the ratio 9:12.

Answer Key:

• 15:25 → 3:5
• 24:36 → 2:3
• 9:12 → 3:4

Conclusion

Understanding ratios helps you compare different sets of values more easily. Whether you're learning math, analyzing data, or solving practical problems, knowing how to simplify ratios is essential.

Ratios are an important concept in various fields such as science, finance, and everyday life. By mastering ratios, you'll become better equipped to handle complex situations.