How to Divide a Fraction by a Whole Number: Step-by-Step Guide
The Organic Chemistry TutorDecember 21, 20251 min5,859 views
4 connectionsΒ·6 entities in this videoβDividing Fractions by Whole Numbers
- π― 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.
- π For example, the whole number 5 can be written as the fraction 5/1.
The Keep, Change, Flip Method
- π Once the whole number is a fraction, you are essentially dividing two fractions.
- π‘ The method to use is Keep, Change, Flip.
- β‘οΈ Keep the first fraction as it is.
- β Change the division sign to a multiplication sign.
- β©οΈ Flip the second fraction (the one representing the whole number) upside down.
Multiplying Fractions
- βοΈ After applying Keep, Change, Flip, you multiply the numerators together and the denominators together.
- 1οΈβ£ 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.
- 2οΈβ£ 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.
- π« If the resulting fraction cannot be simplified, that is your final answer.
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Whatβs Discussed
Fraction DivisionWhole NumbersKeep Change FlipFraction MultiplicationNumeratorDenominatorSimplifying Fractions
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