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### Grade 6 - Mathematics3.21 Arranging Rational Numbers in Ascending Order

 Rational numbers with same denominator: Compare the numerators and arrange the rational numbers in ascending order from lowest to highest. Rational numbers with different denominators: Find the LCM of the denominators Write the equivalent fractions Compare the numerators and arrange the rational numbers in ascending order from the lowest to highest. Example: Arrange 1/2, 7/8, and 2/3 in ascending order. The LCM of 2, 3, and 8 is 24. 1/2 = 12/24 2/3 = 16/24 7/8 = 21/24 Therefore, 1/2 < 2/3 < 7/8. Directions: Arrange the given rational numbers in ascending order. Also write at least 10 examples of your own.
 Q 1: 3/9, 2/7, 1/112/7 < 3/9 < 1/113/9 < 2/7 < 1/111/11 < 2/7 < 3/9 Q 2: 5/8, 9/11, 2/112/11 < 5/8 < 9/115/8 < 9/11 < 2/115/8 < 2/11 < 9/11 Q 3: 1/3, 1/2, 1/41/2 < 1/3 < 1/41/3 < 1/2 < 1/41/4 < 1/3 < 1/2 Q 4: 3/5, 2/3, 4/74/7 < 3/5 < 2/33/5 < 2/3 < 4/72/3 < 3/5 < 4/7 Q 5: 4/5, 10/15, 7/94/5 < 10/15 < 7/94/5 < 7/9 < 10/1510/15 < 7/9 < 4/5 Q 6: 3/8, 2/6, 1/101/10 < 2/6 < 3/82/6 < 3/8 < 1/103/8 < 2/6 < 1/10 Q 7: 4/11, 3/9, 2/133/9 < 4/11 < 2/134/11 < 3/9 < 2/132/13 < 3/9 < 4/11 Q 8: 7/13, 2/7, 5/112/7 < 7/13 < 5/117/13 < 2/7 < 5/112/7 < 5/11 < 7/13 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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