How to Multiply Fractions: GED Math Explained

Multiplying Fractions: The Basics

• 💡 To multiply fractions, you need to multiply across the numerators and denominators.
• For example, 3/5 multiplied by 2/7 is calculated by multiplying 3 by 2 (giving 6) and 5 by 7 (giving 35), resulting in 6/35.
• 📌 If the resulting fraction cannot be simplified further (i.e., has no common factors other than 1), it is the final answer.

Simplifying Fractions After Multiplication

• 🎯 When multiplying 8/9 by 3/4, first multiply across: 8 * 3 = 24 and 9 * 4 = 36, yielding 24/36.
• 🔍 This fraction can be simplified by identifying common factors. Both 24 and 36 are divisible by 4, reducing the fraction to 6/9.
• 🧩 The fraction 6/9 can be further simplified by dividing both numbers by 3, resulting in the final answer of 2/3.

Simplifying Fractions Before Multiplication

• 🚀 An alternative strategy is to simplify before multiplying.
• For the example 8/9 * 3/4, you can identify common factors between numerators and denominators before multiplying.
• ⚡ Notice that 8 and 4 share a common factor of 4, and 9 and 3 share a common factor of 3.
• ✅ By canceling these common factors (4 from 8 and 4, and 3 from 3 and 9), you are left with 2/3 directly, which is often easier.