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How to Divide Fractions Using the Cancellation Method

The Organic Chemistry TutorApril 7, 20253 min12,778 views
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Understanding Fraction Division

  • πŸ’‘ The video introduces a method for dividing fractions, building upon the Keep Change Flip (or Keep, Change, Reciprocal) strategy.
  • 🎯 This strategy involves keeping the first fraction the same, changing the division operation to multiplication, and flipping the second fraction to its reciprocal.

Applying the Cancellation Method

  • πŸ”‘ Once the division is converted to multiplication, the cancellation method is used to simplify the fractions before multiplying.
  • 🧩 This involves breaking down larger numbers into their smaller factors to identify common factors that can be canceled out.
  • πŸš€ For example, in 16/15 divided by 8/5, we keep 16/15, change to multiplication, and flip to 5/8. Then, 16 is broken into 82 and 15 into 53. Canceling 8 and 5 leaves 2/3.

Practice Examples and Further Resources

  • πŸ“ˆ The tutorial walks through additional examples, such as 5/9 divided by 25/36, where 36 is factored as 94 and 25 as 55, resulting in 4/5.
  • πŸ“Š Another example, 15/16 divided by 35/48, involves factoring 15 (53), 16 (82), 48 (86), and 35 (75). After canceling common factors (8, 5, and 2), the result is 9/7.
  • 🌐 For more math video lessons on various topics including chemistry and physics, viewers are directed to the website video-tutor.net.
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Transcript14 segments

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What’s Discussed

Fraction DivisionCancellation MethodKeep Change FlipKeep Change ReciprocalFraction MultiplicationSimplifying FractionsFactoring NumbersImproper FractionsMath TutorialAlgebra
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