Understanding Fraction Multiplication
Multiplying fractions by whole numbers is like repeated addition of fractions!
When you multiply a fraction by a whole number, you're adding that fraction to itself multiple times. For example, 3 × ½ means ½ + ½ + ½ = 1½.
How to Multiply Fractions by Whole Numbers
1️⃣ Write the whole number as a fraction (put it over 1)
2️⃣ Multiply the numerators (top numbers)
3️⃣ Multiply the denominators (bottom numbers)
4️⃣ Simplify your answer if needed
Let's Practice Together!
Example 1: Visual Multiplication
What is 4 × ¾? Let's visualize it:
4 × ¾ = ¾ + ¾ + ¾ + ¾
Count the filled parts: 0/4
Simplified: 0
Example 2: Step-by-Step Calculation
Calculate 5 × ⅔
1. Write 5 as a fraction: 5/1
2. Multiply numerators: 5 × 2 = 10
3. Multiply denominators: 1 × 3 = 3
4. Combine: 10/3
5. Simplify: 3⅓
5 × ⅔ = 10/3 = 3⅓
Parent Tips 🌟
- Use real-world examples: "If you eat ½ a pizza 3 times this week, how much pizza did you eat total?" (3 × ½ = 1½ pizzas)
- Visual aids help: Draw circles divided into fractions and shade the parts to show multiplication visually.
- Relate to division: Show how 4 × ¾ is the same as (4 × 3) ÷ 4 to reinforce different approaches.