Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Find the missing number that makes the fraction equivalent. Warm Up Find the missing number that makes the fraction equivalent. 1. 2. 3. 4. 3 5 __ 2 3 __ ___ = 9 8 = 15 12 5 8 __ 3 4 __ 15 = 15 = 24 20

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

Vocabulary like fractions unlike fractions common denominator

fractions. For example, and are unlike 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 ___

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Compare. Write <, >, or =. 1. 2. 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. 3 6 __ __ 4 5 8 __ 16 9 __ = > 8 1 8 __ 3 8 __ 3 16 __ 3 8 __ __, 7 __ , 5 2 3 __ 8 __, 5 2 3 7 __ 3 4 __ , 5 8 6 __ 8 5 6 __ __, 3 4 __ , 8 8

Lesson Quiz for Student Response Systems Identify the symbol that can be used to compare the given fractions. A. > C. = B. < D.

Lesson Quiz for Student Response Systems 2. Identify the symbol that can be used to compare the given fractions. A. > C. = B. < D.

Lesson Quiz for Student Response Systems 3. Which of the following represents the given fractions ordered from least to greatest? A. C. B. D.

Lesson Quiz for Student Response Systems 4. Which of the following represents the given fractions ordered from least to greatest? A. C. B. D.