1. Copyright © Ed2Net Learning, Inc.1 Comparing and Ordering Fractions Grade 6

2. Copyright © Ed2Net Learning, Inc. 2 Warm up Write the fractions in the simplest form 1)54/18 2)66/8 3)248/64 4)Are 5/6 and 4/3 equivalent? 5)Is 60 /42 = 10/7 State true or False

3. Copyright © Ed2Net Learning, Inc. 3 Simplest form of Fraction A fraction is in its simplest form when the GCF of the numerator and the denominator is 1 There is no other common factor except 1 Example 2 17 5 3 31 19,,

4. Copyright © Ed2Net Learning, Inc. 4 Steps to expressing a fraction in its simplest form 1)Find the GCF of the numerator and denominator 2)Divide the numerator and the denominator by the GCF, and write the resulting fraction

5. Copyright © Ed2Net Learning, Inc. 5 Equivalent Fractions If a and c are two fractions where c m x a b d d m x b Then, a c b d = = Method 1 To find an equivalent fraction of a given fraction we either multiply or divide both the numerator and denominator by the same number c a ÷ n d b ÷ n =

6. Copyright © Ed2Net Learning, Inc. 6 Method2 If the cross products of two fractions are equal then they are equivalent fractions a c b d If ad = bc then a/b = c/d

7. Copyright © Ed2Net Learning, Inc. 7 To compare Fractions First rewrite each fraction using the same denominator Now you need only to compare the numerators The fraction with the bigger numerator is the larger fraction

8. Copyright © Ed2Net Learning, Inc. 8 A common denominator is a common multiple of the denominators of two or more fractions To make the Same Denominator The Least Common Denominator (LCD) is the Least Common Multiple (LCM) of the denominators of two or more fractions

9. Copyright © Ed2Net Learning, Inc. 9 Example: 1 2 15 15 < 1 < 2 so, 1/15 < 2/15 with the same denominator 1)Fractions with the same denominator are Like fractions 2) If the fractions have the same numerators but different denominators, the fractions with the smaller denominator is greater Example: 1 1 2 3 > Comparison of different types of fractions

10. Copyright © Ed2Net Learning, Inc. 10 3) To compare two fractions with different denominators and numerators, We find their equivalent fractions with the same denominators and then just compare the numerators Example: 2 3 3 4, Since 3 and 4 are not common factors or multiples of each other we need to take the LCM of 3 and 4 which is 12 2 2 x 4 8 3 3 x 4 12 == 3 3 x 3 9 4 4 x 3 12 = = 8 9 12 < Comparison of different types of fractions

11. Copyright © Ed2Net Learning, Inc. 11 Example 5 7 6 9 Compare, The LCM of the denominators 6 and 9 is 18 Rewrite each fraction using the LCD, 18 5 5 x 3 15 7 7 x 2 14 6 6 x 3 18 9 9 x 2 18 = = = = 15 14 18 > 5 7 6 9 Since >

12. Copyright © Ed2Net Learning, Inc. 12 Your turn Find the LCD for each pair of fractions 1)7/12,13/36 2)7/8, 5/12 3)2/3, 3/7 4)5/9, ½ 5)7/8, 5/12

13. Copyright © Ed2Net Learning, Inc. 13 Replace each with >,< or = to make a true sentence 6) 1/6 ___ 1/7 7) 7/11 ___ 9/12 8) 21/30 ___17/20 9) 4/9 ____9/14 10) 2/128 ____1/64 Your turn

14. Copyright © Ed2Net Learning, Inc. 14 1) Kenya is a country where although the official language is Swahili, only 1% of people speak this language. 1/5 th of the people speak Kikuyu and 7/50 speak Luo. Which of these languages is spoken by more Kenyans?

15. Copyright © Ed2Net Learning, Inc. 15 2) Laura’s foot is 3 1/16 inches wide. Her friend Raine’s foot is 3 7/8inches wide. Whose foot is wider?

16. Copyright © Ed2Net Learning, Inc. 16 3) The width of a lawn is 5 ¼ m. The width of a second lawn is 5 2/9 m.Which lawn is wider?

17. Copyright © Ed2Net Learning, Inc. 17 Lets review what we learned in our today’s lesson To compare fractions Rewrite each fraction using the same denominator Now you need only to compare the numerators The fraction with the bigger numerator is the larger fraction

18. Copyright © Ed2Net Learning, Inc. 18 A common denominator is a common multiple of the denominators of two or more fractions Same Denominator The Least Common Denominator (LCD) is the Least Common Multiple (LCM) of the denominators of two or more fractions

19. Copyright © Ed2Net Learning, Inc. 19 Example: 1 2 15 15 < 1 < 2 so, 1/15 < 2/15 with the same denominator 1)Fractions with the same denominator are Like fractions 2) If the fractions have the same numerators but different denominators, the fractions with the smaller denominator is greater Example: 1 1 2 3 > Comparison of different types of fractions

20. Copyright © Ed2Net Learning, Inc. 20 3) To compare two fractions with different denominators and numerators, We find their equivalent fractions with the same denominators and then just compare the numerators Example: 2 3 3 4, Since 3 and 4 are not common factors or multiples of each other we need to take the LCM of 3 and 4 are 12 2 2 x 4 8 3 3 x 4 12 == 3 3 x 3 9 4 4 x 3 12 = = 8 9 12 < Comparison of different types of fractions

21. Copyright © Ed2Net Learning, Inc. 21 You had a Great Lesson today! Be sure to practice what you have learned today