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Dividing Rational Numbers Pre-Algebra

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Vocabulary Rational Number: Any number that can be written as a fraction. Reciprocal/Multiplicative Inverse: Two numbers whose product is 1. (Switch the numerator and the denominator.)

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Example: In order to divide fractions, just remember Kentucky Chicken Fried. K – Keep the first fraction the same C – Change the division to multiplication F – Flip the second fraction (take the reciprocal)

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We keep the first fraction in our problem. We change the division to multiplication. We flip the second fraction by taking the reciprocal.

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Now we multiply. Since 5 and 15 share a factor of 5, we may factor out 5 from our problem. Since 24 and 36 share a factor of 12, we may factor out 12 from our problem. We multiply across horizontally. Finally, we simplify if necessary.

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Example #2: This time we must change our mixed numbers into improper fractions! First we multiply 3 and 2 which yields 6. Then we add 1 to 6 and get 7. First we multiply 9 and 5 which yields 45. Then we add 4 to 45 and get 49.

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Our new problem is now: We now use Keep, Change, Flip (KCF) to divide. K CF We factor. And finally, we multiply.

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