Practical Applications: Everyday Examples of Simplified Ratios

📚 Quick Study Guide

• ➗ A ratio compares two quantities. It can be written as $a:b$, $\frac{a}{b}$, or $a$ to $b$.
• 💡 Simplifying a ratio means dividing both parts of the ratio by their greatest common factor (GCF). For example, the ratio 6:8 simplifies to 3:4.
• 🍕 Ratios are used in recipes to maintain proportions when scaling up or down.
• 📏 Ratios are used in maps and scale drawings to represent actual distances.
• 🧮 Ratios can help to compare prices and determine the best value for money.

Practice Quiz

1. What is the simplified form of the ratio 12:18?
   1. 6:9
   2. 4:6
   3. 2:3
   4. 1:2
2. A recipe calls for 2 cups of flour and 4 cups of water. What is the simplified ratio of flour to water?
   1. 1:1
   2. 2:1
   3. 1:2
   4. 2:4
3. On a map, 1 inch represents 5 miles. What is the ratio of inches to miles in simplified form?
   1. 1:5
   2. 5:1
   3. 1:10
   4. 2:10
4. A store sells apples at 3 for $1.50 and oranges at 5 for $2.50. What is the simplified ratio of the cost per apple to the cost per orange?
   1. 1:1
   2. 3:5
   3. 5:3
   4. 1.5:2.5
5. In a class, there are 15 boys and 20 girls. What is the simplified ratio of boys to girls?
   1. 3:4
   2. 4:3
   3. 15:20
   4. 1:1
6. You mix 5 ml of blue paint with 10 ml of yellow paint. What's the simplified ratio of blue to yellow paint?
   1. 1:1
   2. 1:2
   3. 2:1
   4. 5:10
7. A cake recipe uses 8 ounces of sugar and 12 ounces of flour. What is the simplified ratio of sugar to flour?
   1. 2:3
   2. 3:2
   3. 4:6
   4. 8:12