How to Multiply Fractions Using Cancellation Method

Understanding Fraction Multiplication with Cancellation

• 💡 The core concept is simplifying fractions before or during multiplication by canceling out identical numbers that appear on opposite sides of the multiplication.
• 🎯 This method streamlines the calculation process, making it easier to find the final product.

Step-by-Step Cancellation Examples

• ⚡ Example 1: Multiplying 3/5 by 5/7. The '5' in the numerator of the second fraction and the '5' in the denominator of the first fraction can be canceled, leaving 3/7.
• 🧩 Example 2: For 3/8 * 4/5, break down 8 into 42. Canceling the '4' leaves 3 on top and 25 (which is 10) on the bottom, resulting in 3/10.
• 🔍 Example 3: In 5/8 * 4/7, break down 8 into 42. Canceling the '4' leaves 5 on top and 27 (which is 14) on the bottom, resulting in 5/14.

Advanced Cancellation Techniques

• 🛠️ For more complex problems like 9/16 * 8/15, it's recommended to break down larger numbers into their prime factors or smaller composite numbers.
• 🚀 Breaking down 9 (33), 16 (44 or 2222), 8 (42), and 15 (5*3) allows for multiple cancellations.
• ✅ After canceling a '4', a '2', and a '3', the remaining numbers are 3 on top and 2*5 (which is 10) on the bottom, yielding the final answer of 3/10.