Mixed Numbers, Improper Fractions, Comparing and Ordering Fractions #14

Vocabulary An improper fraction is a fraction in which the numerator is greater than or equal to the denominator such as . 11 4 __ is read as “eleven-fourths.” Reading Math 11 4 ___

Vocabulary Whole numbers can be written as improper fractions. The whole number is the numerator, and the denominator is 1. For example, 7 = . When the numerator is less than the denominator, the fraction is called a proper fraction. 7 1 __

Example 1: Real-World Application 9 4 __ 9 4 __ Ella hiked for hours yesterday. Write as a mixed number.

Brett’s favorite soup recipe calls for cups Example 2 14 4 __ Brett’s favorite soup recipe calls for cups of chicken broth. Write as a mixed number. 14 4 __

Example 3: Writing Mixed Numbers as Improper Fractions Write 3 2/3 as an improper fraction.

Example 4 Write each mixed number as an improper fraction. 5 7 __ 6

Example 5 Write each mixed number as an improper fraction. 1 4 __ 3

Example 6 Write each mixed number as an improper fraction. 5 6 __ 2

fractions. For example, and are unlike fractions. Vocabulary 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 7: Comparing Fractions Compare. Write <, >, or =. 6 7 __ 4 __ 7

Example 8: Comparing Fractions Compare. Write <, >, or =. 1 9 __ __ 5 9

Example 9 Compare. Write <, >, or =. 9 15 __ 2 __ 5

Example 10 Compare. Write <, >, or =. 1 3 __ 9 __ 27

Vocabulary 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.

Trevor has cup of soil. He needs cup to Example 11 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 __

Example 12 __ 6 1 __ 10 3 Natalie lives mile from school. Peter lives mile from school. Who lives closer to the school?

Order , , and from least to greatest. Example 13 Ordering Fractions Order , , and from least to greatest. 4 5 __ 2 3 __ 1 3 __

Order , , and from least to greatest. Example 14 Order , , and from least to greatest. 2 3 __ 1 6 __ 2 5 __