Vocabulary Fractions and Mixed Numbers

Transcription

1 Vocabulary Fractions and Mixed Numbers 77 Answer each question by writing the definition of the word.. What is a numerator?. What is a denominator?. What is a fraction?. When is a fraction in lowest terms?. What are equivalent fractions? 6. What are like fractions? 7. What are unlike fractions? Write the word or words in Column B next to the number it describes in Column A. COLUMN A COLUMN B. denominator. improper fraction 0. like fractions. and fraction in lowest terms. mixed number. 6 and equivalent fractions. 6 numerator by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Chapter 7 Resources 77

2 Review Writing Fractions in Lowest Terms and Higher Terms Lessons To reduce a fraction to lowest terms, divide the numerator and denominator by the greatest common factor. Reduce 6 to lowest terms. Factors of 6 {,,,, 6} Factors of (,,,, 6,,, } Greatest common factor 6 Reduce each fraction to lowest terms To write a fraction in higher terms, multiply the numerator and denominator by the same number.? Change each fraction to higher terms. Use the higher denominator shown..? 0. 6?.??. 0 0.??.. 0 6?? 6. 7 Chapter 7 Resources by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.

3 Review Finding Common Denominators Lesson 7. 7 To change unlike fractions to like fractions, remember to first find a common denominator. Change and to like fractions. Multiples of : {, 6,,,,...} Multiples of : {, 0,,...} The fractions 0 and are like fractions. Least common multiple 0 Circle the like fractions in each exercise Change each pair of fractions to like fractions by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Chapter 7 Resources 7

4 Review Comparing Fractions 0 Lesson 7.6 To compare fractions, change all fractions to like fractions. Then, compare the numerators. Compare 0 and Compare each pair of fractions. Use >, <, or Chapter 7 Resources by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.

5 Review Problem Solving: Patterns Lesson 7. To complete this sequence, use a common denominator.,,,, 0 6,, Use 0 as a common denominator.,,,,,, Look for a pattern and complete it.,,,,,, Reduce to lowest terms, where needed. The complete sequence is: 0,, 0,, 6,, 7 0 Complete each sequence. Write each fraction in lowest terms..,,,,,,,.,,,,,,.,, 6,,, 7,.,,,, 6,, 7.,, 0,,, 6.,,,,,, 7.,,,,,, 0.,,,,,,., 0 6,,,,, ,,,,,, by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Chapter 7 Resources

6 Practice Changing Fractions to Mixed Numbers; Changing Mixed Numbers to Fractions Lessons Change each improper fraction to a mixed number or a whole number Change each mixed number or whole number to an improper fraction Chapter 7 Resources by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.

7 Math in Your Life Cooking Lesson 7. You are cooking for a bake sale that your class is sponsoring. You decide to use these ingredients to make Chocolate Cheesecake Bars. You only have one measuring cup marked cup to use. Use equivalent fractions to answer the questions.. How many times must you fill the cup to measure the flour?. A cup holds ounces of chocolate chips. How many times must you fill the cup to measure the chocolate chips? Chocolate Cheesecake Bars Dough: cups flour cup sugar teaspoon salt cup butter cup corn syrup Topping: ounces semi-sweet chocolate chips large eggs cup corn syrup teaspoons vanilla cups cream cheese. A cup of an egg substitute is equal to eggs. How many cups of egg substitute do you need to use?. You need to triple your recipe. How many times must you fill a cup for the correct amount of corn syrup?. You found a -teaspoon measure. How many teaspoons must you fill for the correct amount of vanilla? 6. If you had a -cup measure, how could you measure the butter? by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Chapter 7 Resources

8 Challenge Working with Fractions Lesson 7. READ each problem. Make a PLAN. DO the plan to solve each problem. Be sure that each answer is in lowest terms.. The school bus holds 6 students. The bus makes three stops every day on its route. At the first stop, students get on the bus. At the second stop, 6 students get on. At the third stop, 7 students get on. Write a fraction that shows how full the bus is after the third stop.. Cindy sews shirts to make extra money. She has to make 7 shirts to fill her next order. So far, she finished making 0 shirts. Write a fraction that shows how many of the shirts still need to be made.. The Blue Stars won games, lost games, and tied games. The Sharks won of their games. Both teams played the same number of games. Which team won more games? Explain.. Tony s car has a -gallon tank and it gets 0 miles to the gallon. After he filled up his tank, he drove 0 miles. Write a fraction that shows how full his gas tank is now.. Ava supervises a shift of workers. Eight workers called in sick on one day. She has to stop production if more than of the workers are out. Did she have to stop production? Explain. 6. On a math test, Jarraya answered 6 out of 0 questions correctly. To get a C on this test, of all the questions must be answered correctly. On the math test, did Jarraya get a grade lower than C, higher than C, or C? Explain. Chapter 7 Resources by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.

9 Chapter 7 Test A Fractions and Mixed Numbers Write each fraction in lowest terms Write each fraction in higher terms.? ? 7.? 6 Change the fractions to like fractions Compare each pair of fractions. Use >, <, or Change to a mixed number or a whole number Change to an improper fraction. 7.. Write the numbers in order from least to greatest.. 6 Complete the pattern. 0.,,, 7,,,,,, by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Chapter 7 Resources

10 Chapter 7 Test B Fractions and Mixed Numbers 6 Write each fraction in lowest terms Write each fraction in higher terms.. 6? 6. 6? 7. 6? Change the fractions to like fractions Compare each pair of fractions. Use >, <, or Change to a mixed number or a whole number.. 6. Change to an improper fraction Write the numbers in order from least to greatest.. 6 Complete the pattern. 0.,,,,,,,, 6 Chapter 7 Resources by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved.

11 Answer Key UNIT FRACTIONS Chapter 7 Fractions and Mixed Numbers 77 Vocabulary Fractions and Mixed Numbers. the top number in a fraction. the bottom number in a fraction. a form of a number that shows part of a whole. A fraction is in lowest terms when only divides evently into both the numerator and denominator of a fraction.. fractions with different numbers but equal values 6. fractions with the same denominators 7. fractions with different denominators. mixed number. fraction in lowest terms 0. denominator. equivalent fractions. numerator. like fractions. improper fraction 7 Review Writing Fractions in Lowest Terms and Higher Terms Review Finding Common Denominators 7. ; 0. 0 ;. ; 7. 7 ; 6 7. ; ; ;. ;. ; ; ;. ; ; 6. ; Review Comparing Fractions. >. <.. <. 6. > 7. <. >. > 0. >. >. >... < Review Problem Solving: Patterns.,,.,, 7.,,.,, , 0, 6.,, 7.,,.,,., 7 7, ,, Practice Changing Fractions to Mixed Numbers; Changing Mixed Numbers to Fractions = Math in Your Life Cooking. times. times. cups of egg substitute. times cup butter plus cup of butter teaspoons of vanilla Challenge Working with Fractions. 7.. The Blue Stars won more games since the Sharks only won of 7 games or games... Yes, since and >. Jarraya got a grade higher than C since < Chapter 7 Test A Fractions and Mixed Numbers ,., , 6. <. >. =. > 6. = , 6, 0.,, 6 Chapter 7 Test B Fractions and Mixed Numbers , , 0.,. >. =. >. < , 6, 0.,, by Pearson Education, Inc./Globe Fearon/Pearson Learning Group. All rights reserved. Answer Key