1. Our Lesson Comparing and Ordering Fractions

2. Confidential2 Warm up Write the fractions in the simplest form 1)54/18 3 2)66/8 33/4 3)248/64 31/8 4)Are 5/6 and 4/3 equivalent? no 5)Is 60 /42 = 10/7 State true or False True

3. Confidential3 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,, Lets review what we gathered in our last lesson

4. Confidential4 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. Confidential5 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. Confidential6 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. Confidential7 Lets get Started 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. Confidential8 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. Confidential9 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. Confidential10 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. Confidential11 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. Confidential12 Your turn Find the LCD for each pair of fractions 1)7/12,13/36 36 2)7/8, 5/12 24 3)2/3, 3/7 21 4)5/9, ½ 18 5)7/8, 5/12 24

13. Confidential13 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

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15. Confidential15 6/1/4 Multiplying Integers Game Click here to play a game

16. Confidential16 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 keynans? Kenyans speak Kikuyu more than Luo

17. Confidential17 2) Laura’s foot is 3 1/16 inches wide. Her friend Raine’s foot is 3 7/8inches wide. Whose foot is wider? Raine’s foot is wider than Laura’s

18. Confidential18 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? The first Lawn

19. Confidential19 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

20. Confidential20 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

21. Confidential21 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

22. Confidential22 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

23. Confidential23 You had a Great Lesson today! Be sure to practice what you have learned today