Comparing and Ordering 4 7 Fractions Warm Up

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

4 -7 Comparing and Ordering Fractions Warm Up Find the missing number that makes the fraction equivalent. 3 __ 1. 5 = 15 9 2 ___ 8 __ 2. 3 = 12 3= __ 15 3. 4 20 5 __ 4. 8 = 24 15 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 1 ___ computer game. Carlos played for 2 3 hour, and Lisa played for ___ hour. For 4 how many minutes did Toni play the game? 15 minutes Course 1

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

4 -7 Comparing and Ordering Fractions Vocabulary like fractions unlike fractions common denominator 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 6 ___ 4 ___ example, 7 and 7 are like fractions. When two fractions have different denominators, they are called unlike 7 ___ fractions. For example, 10 and unlike fractions. Course 1 1 ___ 2 are

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

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

4 -7 Comparing and Ordering Fractions Check It Out: Example 1 A Compare. Write <, >, or =. 4 __ _5_ 6 6 4 __ 6 < 5 __ 6 4 __ 5 __ From the model, 6 < 6. Course 1

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

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

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

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

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

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

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

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

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

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

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