4-7 Comparing and Ordering Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes 4-7 Comparing and Ordering Fractions Warm Up Find the missing number that makes the fraction equivalent __ 15 = 3 4 __ 20 = 2 3 __ ___ 12 = 5 8 __ 24 = 15 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 ___ minutes 4-7 Comparing and Ordering Fractions Learn to use pictures and number lines to compare and order fractions. 4-7 Comparing and Ordering Fractions Vocabulary like fractions unlike fractions common denominator 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 ___ ___ 1 2 4-7 Comparing and Ordering Fractions Additional Example 1A: Comparing Fractions Compare. Write, or =. 6 7 __ > From the model, >. 6 7 __ 7 4 4-7 Comparing and Ordering Fractions Additional Example 1B: Comparing Fractions Compare. Write, or =. 1 9 __ < From the model, . 3 9 __ 9 2 4-7 Comparing and Ordering Fractions 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. 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? 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 __ = 3 4 ______ 3 3 __ __ = = = __ 12 9 4-7 Comparing and Ordering Fractions Additional Example 2 Continued Compare the like fractions. __ 12 8 __ __ 3 4 . Since cup is more than cup, he does have enough. 1 3 __ 1 4 Check It Out: Example 2 Continued 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 _______ __ __ = = = 5 15 __ Rename with like denominators. 1 3 __ The fractions in order from least to greatest are,,. 4 5 __ 4-7 Comparing and Ordering Fractions Numbers increase in value as you move from left to right on a number line. Remember! 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 _______ __ __ = = = 7 28 __ Rename with like denominators. 1 4 __ The fractions in order from least to greatest are,,. 3 4 __ 4-7 Comparing and Ordering Fractions Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems 4-7 Comparing and Ordering Fractions Lesson Quiz Compare. Write, or = 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 = 7 8 __, __ 8 4 > __ __ __, 2 3 __ 8 __, __ 3 4 __, __ __, __ 4-7 Comparing and Ordering Fractions 1.Identify the symbol that can be used to compare the given fractions. A. > C. = B. < D. Lesson Quiz for Student Response Systems 4-7 Comparing and Ordering Fractions 2. Identify the symbol that can be used to compare the given fractions. A. > C. = B. < D. Lesson Quiz for Student Response Systems 4-7 Comparing and Ordering Fractions 3. Which of the following represents the given fractions ordered from least to greatest? A. C. B. D. Lesson Quiz for Student Response Systems 4-7 Comparing and Ordering Fractions 4. Which of the following represents the given fractions ordered from least to greatest? A. C. B. D. Lesson Quiz for Student Response Systems