Understanding Fraction Multiplication
Multiplying fractions by whole numbers is like adding the same fraction multiple times!
When you multiply a fraction by a whole number, you're actually adding that fraction to itself the number of times the whole number tells you. 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!
Pizza Party Example
You have 4 friends coming over and each will eat ¾ of a pizza. How much pizza do you need total?
Calculation: 4 × ¾ = ?
4 × ¾ = (4/1) × (3/4) = (4×3)/(1×4) = 12/4 = 3 whole pizzas!
That's like adding ¾ + ¾ + ¾ + ¾ = 3 whole pizzas.
Cookie Recipe Example
A recipe calls for ⅔ cup of sugar per batch. You're making 5 batches. How much sugar do you need?
Calculation: 5 × ⅔ = ?
Parent Tips 🌟
- Use real objects: Cut apples, pizzas, or cookies into fractions to show the multiplication visually.
- Relate to repeated addition: Help your child see that 4 × ½ is the same as ½ + ½ + ½ + ½.
- Cooking practice: Double or triple recipes together to practice fraction multiplication in real life.