I CAN compare two fractions. I CAN order three or more 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 ___

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

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

A. Compare. Write <, >, or =. You Try! Example 1 A. Compare. Write <, >, or =. 4 6 __ __ 5 6 4 6 __ __ 6 5 < From the model, < . 4 6 __ 5

B. Compare. Write <, >, or =. You Try! Example 1 B. 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.

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 equivalent fractions with 12 as the denominator. 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 = =

Compare the like fractions. 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.

Yes, Rachel and Hannah do have enough cabbage. You Try! Example 2 Rachel and Hannah have 1 2 3 cups of cabbage. They need 1 1 2 cups to make pot stickers. Do they have enough for the recipe? Compare 1 2 3 and 1 1 2 . 1 4 6 >1 3 6 , so 1 2 3 >1 1 2 Yes, Rachel and Hannah do have enough cabbage.

Order , , and from least to greatest. 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. You Try! Example 3 Order , , and from least to greatest. 11 20 ____ 3 5 __ 1 4 __ 11 20 _______ • 1 11 20 __ 3 5 _______ • 4 12 20 __ 1 4 _______ • 5 5 20 __ Rename with like denominators. = = = • 1 • 4 • 5 1 4 __ 3 5 The fractions in order from least to greatest are , , . 11 20

Reflection CAN YOU compare two fractions? CAN YOU order three or more fractions?

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

HOMEWORK p. 178: 1-22,45-50