How to Add Fractions Using the Butterfly Method: A Basic Math Tutorial

Understanding the Butterfly Method for Adding Fractions

• 💡 The butterfly method is a technique for adding two fractions.
• 🎯 It involves multiplying diagonally and horizontally to find the numerator and denominator of the sum.

Step-by-Step Example 1: 5/2 + 3/7

• ⚡ Multiply across: 5 * 3 = 15 and 2 * 7 = 14.
• 🧠 Multiply the denominators: 5 * 7 = 35.
• ✅ Add the results of the diagonal multiplications: 15 + 14 = 29.
• 🚀 The final answer is 29/35.

Step-by-Step Example 2: 2/9 + 3/5

• 🎯 Multiply across: 9 * 3 = 27 and 2 * 5 = 10.
• 🔬 Multiply the denominators: 9 * 5 = 45.
• 🧩 Add the results of the diagonal multiplications: 27 + 10 = 37.
• ✨ The final answer is 37/45.

Conclusion

• 📌 The butterfly method provides a straightforward way to add two fractions.