How to Multiply Three Fractions: Step-by-Step Guide

Multiplying Three Fractions

• 💡 To multiply fractions, you can multiply across the numerators and denominators.
• 🔑 Before multiplying, it's crucial to cancel identical numbers that appear in the top and bottom of any of the fractions.

Simplifying Fractions Before Multiplication

• 🎯 When dealing with large numbers, break them down into smaller factors to simplify cancellation.
• 🧩 For example, 8 can be broken into 42, 6 into 32, 12 into 43, and 15 into 53.
• ⚠️ If all numbers on the top are cancelled, the numerator becomes 1.

Example 1: Cancellation Method

• 🚀 We are given 4/7 * 14/15 * 25/32.
• 🔍 Break down numbers: 14 as 72, 15 as 53, 25 as 55, and 32 as 48 (or 442).
• ✅ After cancelling 7, 5, 4, and 2, we are left with 5 in the numerator and 3*4=12 in the denominator, resulting in 5/12.

Example 2: Further Simplification

• 🌟 For 8/9 * 3/4 * 15/16, break down numbers: 8 into 42, 9 into 33, 15 into 53, and 16 into 82.
• ⚡ After cancelling 4, 3, 3, and 2, we are left with 5 in the numerator and 8 in the denominator, resulting in 5/8.

Additional Resources

• 🌐 For more example problems and math videos on different topics, visit video-tutor.net.
• 🔍 You can find specific videos by typing the topic and "organic chemistry tutor" into YouTube's search bar.