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4-7

Comparing and Ordering Fractions. 4-7. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 4-7. Comparing and Ordering Fractions. 5. 3. 3. 2. __. __. __. __. 8. 5. 3. 4. Course 1. Warm Up Find the missing number that makes the fraction equivalent. 1. 2.

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4-7

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

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

  3. 4-7 Comparing and Ordering Fractions 3 1 ___ ___ 4 2 Course 1 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? 15 minutes

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

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

  6. 4-7 Comparing and Ordering Fractions 6 4 7 1 ___ ___ ___ ___ 7 7 10 2 Course 1 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.

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

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

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

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

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

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

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

  14. 4-7 Comparing and Ordering Fractions 8 9 3 3 2 2 __ __ __ __ __ __ 12 12 3 3 4 4 Course 1 Additional Example 2 Continued Compare the like fractions. < , so < . Since cup is less than cup, he does not have enough.

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

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

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

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

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

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

  21. 4-7 Comparing and Ordering Fractions 5 3 3 5 7 2 3 3 1 5 __ __ __ __ __ __ __ __ __ __ __, __ , __, 5 __, 3 5 6 8 8 8 6 16 8 8 3 6 2 8 4 8 3 Course 1 Insert Lesson Title Here 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. 4 9 __ __ > = 8 16 __, 7 __ , __ , 3 __ , 5 5 8 4 8 8

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