✖️ Multiply Fractions
➗ How to Multiply Fractions? 🍰
How to multiply fractions?
👉 Multiplying fractions is simple and involves two steps:
- Multiply the numerators (top numbers).
- Multiply the denominators (bottom numbers).
The result will be a new fraction that represents the product of the two original fractions.
📐 Steps to Multiply Fractions:
- Multiply the numerators:
Multiply the top numbers (numerators) of the two fractions. Example:
If you are multiplying 3/4 and 2/5, you would multiply 3 × 2 = 6. - Multiply the denominators:
Multiply the bottom numbers (denominators) of the two fractions. Example:
If you are multiplying 3/4 and 2/5, you would multiply 4 × 5 = 20. - Simplify the fraction (if needed):
If the resulting fraction can be simplified, divide both the numerator and the denominator by their greatest common divisor (GCD). Example:
For 6/20, the greatest common divisor of 6 and 20 is 2, so dividing both by 2 gives 3/10.
🎯 Example:
Let’s multiply the fractions 3/4 and 2/5.
- Step 1: Multiply the numerators:
3 × 2 = 6 - Step 2: Multiply the denominators:
4 × 5 = 20 - Step 3: Simplify the fraction (if possible):
6/20 simplifies to 3/10 (by dividing both numerator and denominator by 2).
So, 3/4 × 2/5 = 3/10.
🧠 Quick Tip:
- No Need to Simplify Before Multiplying: You don’t need to simplify the fractions before multiplying. Simply multiply the numerators and denominators, and simplify the final result.
📊 Quick Reference Table:
| Fraction 1 | Fraction 2 | Product (Simplified) |
|---|---|---|
| 1/2 | 2/3 | 1/3 |
| 3/4 | 5/6 | 15/24 → 5/8 |
| 7/8 | 3/5 | 21/40 |
