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How to Divide a Fraction by a Whole Number: Step-by-Step Guide

The Organic Chemistry TutorDecember 21, 20251 min5,859 views
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Dividing Fractions by Whole Numbers

  • 🎯 To divide a fraction by a whole number, the first step is to turn the whole number into a fraction by placing it over one.
  • πŸ”‘ For example, the whole number 5 can be written as the fraction 5/1.

The Keep, Change, Flip Method

  • πŸ”„ Once the whole number is a fraction, you are essentially dividing two fractions.
  • πŸ’‘ The method to use is Keep, Change, Flip.
  • ➑️ Keep the first fraction as it is.
  • βž• Change the division sign to a multiplication sign.
  • ↩️ Flip the second fraction (the one representing the whole number) upside down.

Multiplying Fractions

  • βœ–οΈ After applying Keep, Change, Flip, you multiply the numerators together and the denominators together.
  • 1️⃣ For the example 1/4 divided by 5 (or 5/1), after Keep, Change, Flip, you get 1/4 * 1/5. Multiplying across gives (11) / (45) = 1/20.
  • 2️⃣ For the example 3/5 divided by 4 (or 4/1), after Keep, Change, Flip, you get 3/5 * 1/4. Multiplying across gives (31) / (54) = 3/20.
  • 🚫 If the resulting fraction cannot be simplified, that is your final answer.
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Fraction DivisionWhole NumbersKeep Change FlipFraction MultiplicationNumeratorDenominatorSimplifying Fractions
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