Comparing and Ordering Fractions 4-6 Comparing and Ordering Fractions Course 1 Warm Up Problem of the Day Lesson Presentation

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions Warm Up Find the missing number that makes the fraction equivalent. 1. 2. 3. 4. 3 5 __ 2 3 __ ___ 8 = 9 = 15 12 5 8 __ 3 4 __ = 15 = 15 24 20

Comparing and Ordering Fractions Course 1 4-6 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? 1 2 ___ 3 4 ___ 15 minutes

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions Learn to use pictures and number lines to compare and order fractions.

Vocabulary 4-6 Comparing and Ordering Fractions like fractions Course 1 4-6 Comparing and Ordering Fractions Vocabulary like fractions unlike fractions common denominator

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

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

Additional Example 1B: Comparing Like Fractions Course 1 4-6 Comparing and Ordering Fractions Additional Example 1B: Comparing Like Fractions Compare. Write <, >, or =. 1 9 __ 5 B. __ 9 1 9 __ __ 9 5 < From the model, < . 1 9 __ 5

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions Try This: Example 1A Compare. Write <, >, or =. 4 6 __ 5 A. __ 6 4 6 __ __ 6 5 < From the model, < . 4 6 __ 5

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions Try This: Example 1B Compare. Write <, >, or =. 3 9 __ 2 B. __ 9 3 9 __ __ 9 2 > From the model, > . 3 9 __ 2

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions When two fractions have different denominators, they are called unlike fractions. To compare unlike fractions, first rename the fractions so they have the same denominator. This is called finding a common denominator.

Additional Example 2: Cooking Application Course 1 4-6 Comparing and Ordering Fractions Additional Example 2: Cooking Application 2 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 Course 1 4-6 Comparing and Ordering Fractions 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 Course 1 4-6 Comparing and Ordering Fractions 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.

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions Try This: 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

Try This: Example 2 Continued Course 1 4-6 Comparing and Ordering Fractions Try This: 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 = =

Try This: Example 2 Continued Course 1 4-6 Comparing and Ordering Fractions Try This: 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. Course 1 4-6 Comparing and Ordering Fractions 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

Comparing and Ordering Fractions Course 1 4-6 Comparing and Ordering Fractions Numbers increase in value as you move from left to right on a number line. Remember!

Order , , and from least to greatest. Course 1 4-6 Comparing and Ordering Fractions Try This: 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

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