Mixed Numbers Improper Fractions Comparing and Ordering Fractions
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 Reading Math 11 ___ is 4 read as “eleven-fourths. ”
Vocabulary Whole numbers can be written as improper fractions. The whole number is the numerator, 7 and the denominator is 1. For example, 7 = __. 1 When the numerator is less than the denominator, the fraction is called a proper fraction.
Example 1: Real-World Application 9 __ 4 Ella hiked for hours yesterday. Write a mixed number. 9 __ 4 as
Example 2 14 Brett’s favorite soup recipe calls for__cups 4 __ as a mixed of chicken broth. Write 14 4 number.
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 6 __ 7
Example 5 Write each mixed number as an improper fraction. 1 3 __ 4
Example 6 Write each mixed number as an improper fraction. 5 2 __ 6
Vocabulary 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. 1 ___ 2 are
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.
Example 11 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?
Example 12 1 __ 3 __ Natalie lives 6 mile from school. Peter lives 10 mile from school. Who lives closer to the school?
Example 13 Ordering Fractions Order 4 __ __ , 2 5 3 , and 1 __ 3 from least to greatest.
Example 14 2 2 , __ 1 , and __ Order __ from least to greatest. 3 6 5
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