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### Grade 6 - Mathematics3.15 Division in Rational Numbers - I

 Method: To divide by a fraction, multiply by its reciprocal. Example: 2 ÷ 2/3 = 2 x 3/2 = 3 Definition: For any two rational numbers a/b and c/d, to divide a/b by c/d we multiply a/b with the multiplication inverse of c/d. Therefore, a/b ¸ c/d = a/b ´ d/c. Example: 4/5 ¸ 16/5 = ? The multiplicative inverse of 16/5 is 5/16. Therefore, the division of 4/5 ¸ 16/5 = 4/5 ´ 5/16 = (4x5)/(5x16) = 20/80 Directions: Solve the following division problems and write the answers without simplifying. Also write at least 10 examples of your own.
 Q 1: 80/3 ÷ 10/3 = _____?Answer: Q 2: 26/7 ÷ 20/7 =_____?Answer: Q 3: 7/8 ÷ 5/8 = _____?Answer: Q 4: 28/3 ÷ 25/3 =______?Answer: Q 5: 8/10 ÷ 9/10 = _____?Answer: Q 6: 70/6 ÷ 80/6 = ______?Answer: Q 7: 45/6 ÷ 20/6 = ______?Answer: Q 8: 21/8 ÷ 28/8 = ______?Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!