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Learn to use pictures and number lines to compare and order fractions .

Learn to use pictures and number lines to compare and order fractions. Vocabulary. like fractions unlike fractions common denominator. 6. 4. ___. ___. 7. 7. 1. 7. ___. ___. 2. 10.

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Learn to use pictures and number lines to compare and order fractions .

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  1. Learn to use pictures and number lines to compare and order fractions.

  2. Vocabulary like fractions unlike fractions common denominator

  3. 6 4 ___ ___ 7 7 1 7 ___ ___ 2 10 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.

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

  5. 1 __ 9 1 5 __ __ 9 9 1 5 __ __ From the model, < . 9 9 Additional Example 1B: Comparing Fractions Compare. Write <, >, or =. 5 __ 9 <

  6. 4 __ 6 4 5 __ __ 6 6 4 5 __ __ From the model, < . 6 6 Check It Out: Example 1A Compare. Write <, >, or =. 5 __ 6 <

  7. 3 __ 9 3 2 __ __ 9 9 3 2 __ __ From the model, > . 9 9 Check It Out: Example 1B Compare. Write <, >, or =. 2 __ 9 >

  8. To compare unlike fractions without models, first rename the fractions so they have the same denominator. This is called finding a common denominator. This method can be used to compare mixed numbers as well.

  9. 2 3 __ __ 3 4 2 3 __ __ Compare and . 3 4 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

  10. 2 3 __ __ __ __ 3 12 4 12 2 3 8 9 ______ ______ __ __ 3 12 4 12 9 2 8 3 __ __ __ __ 12 12 3 4 Additional Example 2 Continued Find equivalent fractions with 12 as the denominator. = = • 4 • 3 = = • 4 • 3 = =

  11. 8 9 2 3 __ __ __ __ 12 12 3 4 3 2 __ __ 4 3 Additional Example 2 Continued Compare the like fractions. < , so < . Since cup is less than cup, he does not have enough.

  12. 1 __ 1 __ 3 4 1 1 __ __ Compare and . 4 3 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

  13. 1 1 __ __ __ __ 3 12 4 12 1 1 4 3 ______ ______ __ __ 3 12 4 12 3 1 4 1 __ __ __ __ 12 12 3 4 Check It Out: Example 2 Continued Find equivalent fractions with 12 as the denominator. = = • 4 • 3 = = • 4 • 3 = =

  14. 4 3 1 1 __ __ __ __ 12 12 3 4 1 1 __ __ 3 4 Check It Out: Example 2 Continued Compare the like fractions. > , so > . Since cup is more than cup, he does have enough.

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

  16. Remember! Numbers increase in value as you move from left to right on a number line.

  17. 1 4 3 __ __ __ 4 7 4 3 1 21 7 4 16 _______ _______ __ __ _______ __ 4 4 28 28 7 28 21 16 7 28 28 28 1 0 1 3 4 4 4 7 The fractions in order from least to greatest are , , . 3 4 1 __ __ __ 4 7 4 Check It Out: Example 3 Order , , and from least to greatest. • 7 • 7 • 4 Rename with like denominators. = = = • 7 • 4 • 7

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