Notes on Multiplying and Dividing Fractions

Introduction

• Topic: Multiplying and dividing fractions
• Presenter: Mr. J
• Format: Examples with step-by-step explanations

Example 1: Multiplication of Fractions

• Problem: 7/9 × 2/3
• Steps:
  1. Multiply the numerators: 7 × 2 = 14
  2. Multiply the denominators: 9 × 3 = 27
• Result: 14/27
• Simplification:
  • Greatest common factor of 14 and 27 is 1
  • Already in simplest form
• Final Answer: 14/27

Example 2: Division of Fractions

• Problem: 3/8 ÷ 1/4
• Steps (Keep, Change, Flip):
  1. Keep the first fraction: 3/8
  2. Change division to multiplication
  3. Flip the second fraction (reciprocal): 1/4 becomes 4/1
• New Problem: 3/8 × 4/1
• Multiply:
  • Numerators: 3 × 4 = 12
  • Denominators: 8 × 1 = 8
• Result: 12/8

Converting Improper Fraction to Mixed Number

• 12 ÷ 8
  • Whole number: 1
  • Remainder: 4
• Mixed Number: 1 4/8
• Simplification:
  • Greatest common factor of 4 and 8 is 4
  • Divide both by 4: 1/2
• Final Answer: 1 1/2

Conclusion

• Key Takeaways:
  • Multiply fractions straight across
  • Divide fractions by Keep, Change, Flip
  • Always check for simplification
• Thank you for watching!