1. 4-7 Comparing and Ordering Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

2. Warm Up Find the missing number that makes the fraction equivalent. 1. 2. 3.4. 9 8 15 Course 1 4-7 Comparing and Ordering Fractions 3 5 __ 15 = 3 4 __ 20 = 2 3 __ ___ 12 = 5 8 __ 24 = 15

3. Course 1 4-7 Comparing and Ordering Fractions Problem of the Day From 4:00 to 5:30, Carlos, Lisa, and Toni took turns playing the same computer game. Carlos played for hour, and Lisa played for hour. For how many minutes did Toni play the game? 3 4 ___ 1 2 15 minutes

4. Course 1 4-7 Comparing and Ordering Fractions Learn to use pictures and number lines to compare and order fractions.

5. Course 1 4-7 Comparing and Ordering Fractions Vocabulary like fractions unlike fractions common denominator

6. Course 1 4-7 Comparing and Ordering Fractions When you are comparing fractions, first check their denominators. When fractions have the same denominator, they are called like fractions. For example, and are like fractions. When two fractions have different denominators, they are called unlike fractions. For example, and are unlike fractions. 6 7 ___ 4 7 7 10 ___ 1 2

7. Course 1 4-7 Comparing and Ordering Fractions Additional Example 1A: Comparing Fractions Compare. Write, or =. 6 7 __ 4 7 6 7 7 4 > From the model, >. 6 7 __ 7 4

8. Course 1 4-7 Comparing and Ordering Fractions Additional Example 1B: Comparing Fractions Compare. Write, or =. 1 9 __ 5 9 1 9 9 5 < From the model, <. 1 9 __ 9 5

9. Course 1 4-7 Comparing and Ordering Fractions Check It Out: Example 1A Compare. Write, or =. 4 6 __ 5 6 4 6 6 5 < From the model, <. 4 6 __ 6 5

10. Course 1 4-7 Comparing and Ordering Fractions Check It Out: Example 1B Compare. Write, or =. 3 9 __ 2 9 3 9 9 2 > From the model, >. 3 9 __ 9 2

11. Course 1 4-7 Comparing and Ordering Fractions To compare unlike fractions, first rename the fractions so they have the same denominator. This is called finding a common denominator.

12. Course 1 4-7 Comparing and Ordering Fractions Additional Example 2: Cooking Application 2 3 __ 3 4 Compare and. 2 3 __ 3 4 Find a common denominator by multiplying the denominators. 3 4 = 12 Ray has cup of nuts. He needs cup to make cookies. Does he have enough nuts for the recipe?

13. Course 1 4-7 Comparing and Ordering Fractions Additional Example 2 Continued Find equivalent fractions with 12 as the denominator. 2 3 __ 12 __ = 2 3 ______ 4 = 4 __ 12 8 3 4 __ 12 __ = 3 4 ______ 3 3 __ 12 9 2 3 __ 3 4 12 8 = = = __ 12 9

14. Course 1 4-7 Comparing and Ordering Fractions Additional Example 2 Continued Compare the like fractions. __ 12 8 __ 12 92 3 __ 3 4 <, so <. Since cup is less than cup, he does not have enough. 2 3 __ 3 4

15. Course 1 4-7 Comparing and Ordering Fractions Check It Out: Example 2 1 3 __ 1 4 Compare and. 1 3 __ 1 4 Find a common denominator by multiplying the denominators. 3 4 = 12 Trevor has cup of soil. He needs cup to fill a small planter. Does he have enough soil to fill the planter?

16. Course 1 4-7 Comparing and Ordering Fractions Find equivalent fractions with 12 as the denominator. 1 3 __ 12 __ = 1 3 ______ 4 = 4 __ 12 4 1 4 __ 12 __ = 1 4 ______ 3 3 __ 12 3 1 3 __ 1 4 12 4 = = = __ 12 3 Check It Out: Example 2 Continued

17. Course 1 4-7 Comparing and Ordering Fractions Compare the like fractions. __ 12 4 __ 12 31 3 __ 1 4 >, so >. Since cup is more than cup, he does have enough. 1 3 __ 1 4 Check It Out: Example 2 Continued

18. Course 1 4-7 Comparing and Ordering Fractions Additional Example 3: Ordering Fractions Order,, and from least to greatest. 4 5 __ 4 5 _______ 2 3 __ 2 3 _______ 1 3 3 3 5 5 5 5 10 15 __ 12 15 __ = = = 5 15 __ Rename with like denominators. 1 3 __ 1 3 2 3 The fractions in order from least to greatest are,,. 4 5 __ 5 15 1 3 10 15 2 3 0 1 12 15 4 5

19. Course 1 4-7 Comparing and Ordering Fractions Numbers increase in value as you move from left to right on a number line. Remember!

20. Course 1 4-7 Comparing and Ordering Fractions Check It Out: Example 3 Order,, and from least to greatest. 4 7 __ 4 7 _______ 3 4 __ 3 4 _______ 1 4 4 4 7 7 7 7 21 28 __ 16 28 __ = = = 7 28 __ Rename with like denominators. 1 4 __ 1 4 4 7 The fractions in order from least to greatest are,,. 3 4 __ 7 28 4 7 16 28 3 4 21 28 1 4 0 1

21. Lesson Quiz Compare. Write, or =. 1.2. 3. You drilled three holes in a piece of wood. The diameters of the holes are,, and inches. Which hole is the largest? Order the fractions from least to greatest. 4.5. = Insert Lesson Title Here Course 1 4-7 Comparing and Ordering Fractions 7 8 __, __ 8 4 > 5 8 16 9 __ 1 8 3 8 3 16 __ 3 6 5 8 __, 2 3 __ 8 __, 5 2 3 7 8 __ 3 4 __, 5 8 5 6 __ 8 5 5 6 __, 3 4 3 8 __