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Dividing Rational Numbers Pre-Algebra 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.) Example: 5 15 24 36 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) We keep the first fraction in our problem. We change the division to multiplication. We flip the second fraction by taking the reciprocal . 5 15 24 36 5 36 24 15 Now we multiply. 1 5 36 3 3 1 6 2 2 24 15 3 Since 5 and 15 share a factor of 5, we may our problem. factorout 5 from Since 24 and 36 share afactor of 12, we may problem. our factor out 12 from We multiply across horizontally. Finally, we simplify if necessary. 1 4 Example #2: 2 5 3 9 This time we must change our mixed numbers into improper fractions! 1 2 3 4 5 9 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. Our new problem is now: 7 49 3 9 We now use Keep, Change, Flip (KCF) to divide. K 1 7 1 3 We factor. C F 9 3 49 7 Andfinally, we multiply. 3 7