Fractions and Mixed Numbers

Similar documents
_ _ _ _ _ _. Add and Subtract Parts of a Whole R54. Name. Justin has 3_. How much cheese does he have in all?

Lesson 6.1. Addition with Unlike Denominators Essential Question How can you use models to add fractions that have different denominators?

Add and Subtract Parts of a Whole

FRACTIONS. Printable Review Problems. Kristine Nannini

UNIT 4 INTRODUCTION TO FRACTIONS AND DECIMALS

Released December Year. Small Steps Guidance and Examples. Block 2 - Fractions

End-of-Year Review. Test Prep Multiple Choice. Fill in the circle next to the correct answer. 1. The digit 9 in 89.4 stands for. (Lesson 7.

Number Sense Workbook 3, Part 2

Know how to use fractions to describe part of something Write an improper fraction as a mixed number Write a mixed number as an improper fraction

Name: Class: Date: ID: A

Math 6 Unit 03 Part B-NOTES Fraction Operations

Equivalent fractions are

NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17

Parent Guide to 5 th Grade

Fractions and Decimals

MATH Student Book. 5th Grade Unit 7

iv) iv) b) What pattern do you see in your answers to part a? c) Use your pattern to predict the decimal form of each fraction. i)

Name. List the 5 smallest whole numbers that are a. multiples of 4 and not multiples of 2. b. multiples of 43 and odd. c. even and not multiples of 4.

STRUCTURES OF STORY PROBLEMS SEPARATE

NF5-21 Multiplying Unit Fractions Pages 13 14

How can you write a fraction as a sum of unit fractions with the same denominator?

UNIT 4 PRACTICE PROBLEMS

Reteach. Chapter 9. Grade 5

WS Stilwell Practice 5-2

Exploring Adding and Subtracting Decimals. :i + Ml = HH. d) = e) f) = d) = e}

Unit 1 : Numbers to 1,000

Review: Number Systems

Multiples of Unit Fractions

Number Sense Workbook 7, Part 1: Unit 3

Reteach. Teacher Edition. Chapter 9. Grade 4

Section 1: Whole Numbers

Diagnostic Math Assessment

UNIT 5 OPERATIONS WITH FRACTIONS

Adding and Subtracting All Sorts of Numbers

Fractions Part 1 Chapter Problems

Math KCAS Flashbacks

Using Equivalent Fractions to Solve Problems

MATH STUDENT BOOK. 6th Grade Unit 5

360 right angle, 90. Types of Angles

Summer Math Learning Packet for Students Entering. Grade 6. SFTitle I

Grade 8 Final Exam Review APPLICATIONS AND PROBLEM SOLVING

2.1 Introduction to Fractions and Mixed Numbers. A Introduction to Fractions SAMPLE. 3 7 Figure 1. The whole candy bar can be represented as 7 7.

I Can Grade 3 Math. Example. 3.OA.A.1 I can explain the meaning of products of whole numbers by using groups of objects.

Topic 3: Fractions. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra

Adding Integers with the Same Sign

Fraction and Whole-Number Division. How can you divide unit fractions by whole numbers and whole numbers by unit fractions? .

To use bar modelling as a technique to support the process of solving word problems.

Medium Term Plans for Mathematics (revised version) - Year Five (Summer Term)

Unit 3.2: Fractions, Decimals and Percent Lesson: Comparing and Ordering Fractions and Decimals

Assessment Management. Math Boxes 8 2 Math Journal 2, p. 253 Students practice and maintain skills through Math Box problems.

Add the fractions by first finding. f + D U C

SAMPLE LESSON DO NOT COPY. i TELL ME MORE COMPARING FRACTIONS EXAMPLES

Chapter 3 (Operations with Rational Numbers) Bringing It All Together #1

The Grade 5 Common Core State Standards for Measurement and Data specify that students should

5 th Grade Common Core. Math Review. 40 Pages. All Standards. Jennifer Findley

A fraction (from Latin: fractus, "broken") represents a part of a whole.

Vocabulary: Bits and Pieces II

Medium Term Plans for Mathematics (revised 2018) - Year Five (Summer Term)

6d c Does Not Require Renaming. difference. Write each expression and the difference in the correct box. 6a.

Fraction and Mixed-Number Addition and Subtraction

Number and Operations Fractions

LEVEL 6. Level 6. Page (iv)

Coached Instruction Supplement

Associative Property of Addition. Associative Property of Multiplication and 1

Lesson 2 Fractions on a Number Line

UNIT 1 PLACE VALUE AND WHOLE NUMBERS

Dividing Rectangles into Rows and Columns Part 1. 2nd Grade. Slide 1 / 201 Slide 2 / 201. Slide 3 / 201. Slide 4 / 201. Slide 6 / 201.

Part 1: Dividing Fractions Using Visual Representations

CHAPTER 5: ADDING AND SUBTRACTING FRACTIONS AND DECIMALS

Fractions and their Equivalent Forms

Number and Operations Fractions

Answer Key. Name. Here is a birthday cake cut into pieces. How many pieces do you see? ANSWER: 24 pieces

Part 1: Dividing Fractions Using Visual Representations

Answer Key. ANSWER: a. 2; b.

FORM 2 MATHEMATICS SCHEME C TIME: 30 minutes Non Calculator Paper. Instructions to Candidates

Addition with Unlike Denominators

CORRELATION of the Understanding Numeration PLUS & Understanding Math PLUS programs with MICHIGAN CONTENT STANDARDS Grade 5 APRIL 2007

1. Write the whole or decimal number that each letter represents.

English 4 th Grade M-Z Vocabulary Cards and Word Walls Revised: 1/13/14

Table of Contents. Student Practice Pages. Number Lines and Operations Numbers. Inverse Operations and Checking Answers... 40

Fractions and Mixed Numbers: Multiplication and Division

Multiply the dividend by the reciprocal of the divisor.

Introduction to Fractions

Fractions and Decimals

Fractions and their Equivalent Forms

MONDAY FEBRUARY 23rd. 2. Work on the next five slides - complete at least 3 out of the 5 problems

Rational Numbers pp

Topic 15 Classifying Plane Figures

English 4 th Grade M-Z Vocabulary Cards and Word Walls Revised: June 3, 2013

GRADE 5. Mathematics. Administered April 2018 RELEASED

Grade 4 Fractions. Answer the questions. For more such worksheets visit (1) Convert into a mixed fraction. (2) Convert

Fractions and their Equivalent Forms

MA.5.A.1.1 I can describe the process of finding quotients using models and place value =

Answers Investigation 1

Chapter 7 Review/Test

Volume of Triangular Prisms and Pyramids. ESSENTIAL QUESTION How do you find the volume of a triangular prism or a triangular pyramid?

Study Guide for the Instructional Unit 2 Test (Fractions, Decimals and Percent)

JumpStart to Second Grade Math

MNU 3-08a - Proportion

Multiplication and Division Equations. Number of eggs per batch. eggs are needed per batch of cookies.

Transcription:

6 CHAPTER Fractions and Mixed Numbers Worksheet Adding Fractions Find the equivalent fraction. Shade the models. _? 6. _?.? Reteach A

Find the equivalent fractions. To get the equivalent fraction, multiply both the numerator and the denominator by the same number... 7. 6. 6 Chapter 6 Lesson 6.

Find the equivalent fractions. Complete the model by shading the correct number of parts. Then add the fractions.? Step Change the denominator of to. Step Add the like fractions. 7. Reteach A

. _ Complete the models. Then add the fractions. _? _ So, _. Chapter 6 Lesson 6.

. 0. Reteach A

Express each fraction in simplest form. _ To simplify a fraction, divide both the numerator and the denominator by the same number.... _ 6 _ A fraction is in its simplest form when the numerator and the denominator cannot both be divided by the same number. 6 Chapter 6 Lesson 6.

Add. Express each answer in simplest form.?? So,. To add like fractions, add the numerators.. _ 7 _ 7 _ 7 7?. 6. _ 7? Reteach A 7

7. _ 0 0 _ 0 _ 0. 6 6 Chapter 6 Lesson 6.

Worksheet Subtracting Fractions Find the equivalent fraction. Complete the model by shading the correct number of parts. 6 _ 6. _. _ Reteach A

Subtract. Express each answer in simplest form. _ 6 _ 6 6 6? 6 To subtract like fractions, subtract the numerators.?.. _ 0 7_ 0 7 0 0?. 7 60 Chapter 6 Lesson 6.

Complete the models by shading the correct number of parts. Then subtract the fractions. 7? Step Change the denominator of _ to, so that it has the same denominator as 7_. 6 Step Subtract the like fractions. 7 7 6 6 So, 7. 7 6. Reteach A 6

7. _ Find the equivalent fractions. Then subtract. 7? 7 7_ 6 6 So, 7 _.. 7_ 0 7_ 0 0 0 6 Chapter 6 Lesson 6.

. 7 7_ 0. 6 _ 6 Reteach A 6

Complete the models. Then subtract.? So,... _ 0 _ 0 6 Chapter 6 Lesson 6.

Find each difference. Express your answer in simplest form.? So, _.. _ 7 7 Reteach A 6

. _. 0 _ 0 66 Chapter 6 Lesson 6.

Worksheet Mixed Numbers Shade the model to show each mixed number. _? whole whole So, _. When you add a whole number and a fraction, you get a mixed number. is a mixed number... whole _ whole whole Reteach A 67

Find the mixed number that describes each model. whole whole ninths. whole whole whole fifths. whole whole 7 twelfths Write each mixed number on the number line. _ 0 6 Chapter 6 Lesson 6.

. _ 6. _ 7. _ 0 Express each mixed number in simplest form. _? Method Draw models. Method Divide the numerator and the denominator by the same number. So,. So,.. _. 6_ Reteach A 6

Find the number of wholes and parts that are shaded. Then write each sum as a mixed number in simplest form. 0.. 70 Chapter 6 Lesson 6.

Worksheet Improper Fractions Write each description as a fraction. third. quarters. fifths. sixths. 6 eighths. 7 tenths Express each mixed number as an improper fraction. _? whole thirds There are thirds in _. _ thirds _ An improper fraction is equal to or greater than. _ is an improper fraction. So,. Reteach A 7

6. _ wholes halves _ half There are halves in _. _ 7. _ whole quarters There are quarters in _. _ quarters _ 7 Chapter 6 Lesson 6.

Express each mixed number as an improper fraction. Use the models to help you. How many thirds are there in _? There are 7 thirds in _. _ 7 thirds 7. How many sixths are there in _ 6? There are sixths in _ 6. _ 6 sixths. How many eighths are there in _? There are eighths in _. _ eighths Reteach A 7

Express each improper fraction in simplest form. 6_? Method Simplify the fractions shown by the shaded parts. 6_ Method Divide the numerator and the denominator by the same number. _ 6 So, 6. 0. _. _. 0 _. _ 6 7 Chapter 6 Lesson 6.

Write each fraction on the number line. _ 0. _. 7_ 6. _ 0 _ _ Reteach A 7

Write the missing improper fraction in each box. 0 0 6 7 thirds 7. 0 0 7 0. 0 6 7 0 6 76 Chapter 6 Lesson 6.

Worksheet Complete each statement. thirds is whole. Renaming Improper Fractions and Mixed Numbers.. quarters is whole. fifths is whole... sixths is whole. sevenths is whole.. eighths is whole. Reteach A 77

Rename each improper fraction as a mixed number. Use models to help you. 7_? 7_ 7 thirds 6 thirds third 6 So, 7. 6. _ fifths 7. _ 6 sixths fifths fifths sixths sixths 7 Chapter 6 Lesson 6.

Use the division rule to rename each improper fraction as a mixed number. _? ) 0 There are wholes and fifths in _. _ So, _. Division Rule: Divide the numerator by the denominator. R. _. 7 _ 7 ) 7) 7 There are wholes and There are wholes and So, _ thirds in _. sevenths in _ 7 7.. So, 7 _ 7. Reteach A 7

Rename the improper fraction as a mixed number in simplest form. Then check your answer using the division rule. _ 6? _ 6 sixths sixths sixths 6 6 7 6 7 7 So, _ 6 7. Check 7 6) 6 7 R _ 6 7 _ 6 7 0. 6 _ quarters quarters quarters Check ) 6 6 R 6 _ 0 Chapter 6 Lesson 6.

. _ ninths ninths ninths Check ) R _ Reteach A

Use the multiplication rule to rename each mixed number as an improper fraction. _ 6? _ 6 _ 6 6 _ 6 6 6 6 6 Multiplication Rule So, _ 6 6... 6 _ 6 Chapter 6 Lesson 6.

Rename each mixed number as an improper fraction in simplest form. Check your answer. _? _ Check Step Step Multiply the whole number by the denominator. Add the product to the numerator. There are quarters in _. So, _.. Check There are halves in _. Reteach A

. 7 _ 6 Check 7 There are sixths in 7 _ 6. 6. _ Check There are ninths in _. Chapter 6 Lesson 6.

Worksheet 6 Renaming Whole Numbers when Adding and Subtracting Fractions Add. Express each answer as a mixed number in simplest form.? 6 6 _ So, _. Reteach A

.. 7 _ 6 Chapter 6 Lesson 6.6

Find the equivalent fraction. Then add. Express each answer in simplest form. _ 7_? _ 7_ 7 So, _ 7_.. _ 7_ 0. Reteach A 7

Find the sum. Express each answer in simplest form. _? _ 6 So, _.. _ 7 Chapter 6 Lesson 6.6

6. _ 7_ Express each whole number as a mixed number. _ 7. _.. _ 0. Reteach A

Subtract each fraction from a whole number to get a mixed number. _? Method _ Method _ _ or So, _.. _. _ 0 Chapter 6 Lesson 6.6

. _. _ Subtract. Express your answer in simplest form.? 6 6 So,. Reteach A

. _ 7_ 6. _ 6 _ 6 7. 0 Chapter 6 Lesson 6.6

Worksheet 7 Fraction of a Set Find the fraction of each set. _ of? pretzels are divided into equal groups. _ of means of the groups of pretzels. groups of pretzels pretzels group of pretzels pretzels So, _ of is.. _ of Reteach A

. _ of. _ of. _ of 7. _ of Chapter 6 Lesson 6.7

Answer the questions. How many toys are shaded? toys are shaded. 6. toys are divided into equal groups. There are groups of toys, and groups are shaded. 7. What fraction of the set of toys are shaded? The shaded parts _ of the set.. Write the missing numbers on the model. Reteach A

Write the missing numbers. fruits are divided into groups.. There are fruits in each group. 0. out of the fruits in the set are shaded.. Color the parts of the model to show the number of fruits that are shaded. units fruits unit unit unit. What fraction of the fruits are shaded? The shaded parts _ of the set.. From the model, unit fruits units fruits 6 Chapter 6 Lesson 6.7

Find the fractional part of each number. Use models to help you. _ of? units unit Divide into equal parts. The shaded parts of the set. units So, _ of is.. _ of? units unit units So, _ of. Reteach A 7

Find the fractional part of each number. Show your work. _ of? _ 0 The word of means to multiply. So, _ of.. _ of 6. _ 7 of 6 7 6 7. _ of 6. 7 of _ Chapter 6 Lesson 6.7

Worksheet Solve. Show your work. Real-World Problems: Fractions Three friends shared a pie. Susan ate _ of the pie. Daniel ate _ of the pie. Joe ate _ of the pie. What fraction of the pie did they eat altogether? _ _ 6_ They ate _ of the pie.. Lisa, Sam, and Marco each bought some dried fruit. Lisa bought _ pound of dried fruit. Sam and Marco each bought _ 6 pound of dried fruit. How much dried fruit did they buy altogether? 6 _ 6 _ 6 _ 6 They bought pounds of dried fruit altogether. Reteach A

. Mrs. Jackson baked muffins one day. She used _ kilogram of flour to bake the first batch of muffins. She used 7_ kilogram of flour to bake the second batch, and another _ kilogram of flour for the third batch. How much flour did she use altogether? _ 7 7 She used kilograms of flour altogether.. Edison made a fruit salad. He mixed 7_ pound of apples and _ pound of strawberries. He then added _ pound of banana. What was the total weight of the fruit salad? 00 Chapter 6 Lesson 6.

Kathy has loaf of whole grain bread. She cuts _ of it for her friend and _ for herself. What fraction of the bread is left? Method Method _ loaf of bread is left. _ loaf of bread is left.. Sam spent _ of his time playing soccer and _ of his time doing homework. He spent the rest of his time playing computer games. How much of his time did Sam spend playing computer games?? Sam spent of his time playing computer games. Reteach A 0

. Latoya bought a pizza. She ate _ 6 of the pizza and gave _ of it to her sister. She kept the rest of the pizza for her grandmother. How much of the pizza did Latoya keep for her grandmother? 6? _ 6 _ Latoya kept of the pizza for her grandmother. 6. Pam made mixed juice from carrot juice and apple juice. She filled a jug with 7_ liter of carrot juice and _ liter of apple juice. Pam then drank _ liter of the mixed juice. Find the amount of mixed juice that was left in the jug. 0 Chapter 6 Lesson 6. liters of mixed juice was left in the jug.

Ling bought a total of apples. Of the apples she bought, are red apples and are green apples. a. What fraction of the apples are red? b. What fraction of the apples are green? a. out of is _. b. _ _ of the apples are green. of the apples are red. 7. Elan has a bag of 0 marbles. He gives marbles to his brother. a. What fraction of his marbles does Elan give away? out of 0 is _. Elan gives away b. What fraction of the marbles are left? of the marbles are left. of his marbles. Reteach A 0

. Bernice has a ribbon that is centimeters long. She cuts centimeters off the length of the ribbon. What fraction of the ribbon is left? Dianne has $7. She uses _ of it to buy a present for her father. How much money does Dianne have left? $7 Method Method units $7 unit $7 $ units $ $ Dianne has $ left.? _ of $7 _ $7 $60 $0 Dianne spent $0. $7 $0 $ Dianne has $ left. 0 Chapter 6 Lesson 6.

. Winton was given $ to spend at his school fair. He spent _ of the money 7 playing games. How much money did Winton have left? $? 7 Method Method units $ unit $ units $ $ $ $ $ Winton had $ left. _ 7 of $ $ $ $ He spent $. $ $ $ Winton had $ left. 0. Chris planted carrots on _ of his farm and tulips on the rest of the land. The total area of his farm is 6 square meters. Find the area of the land on which he planted tulips. 6 square meters Carrots: Tulips:? Method Method Reteach A 0

. Of all the seats in an airplane, _ are business-class seats, and the rest are economy-class seats. There are 6 seats in the airplane. Find the number of economy-class seats. 6? Method Method. Sally cuts a pear into equal pieces. She gives each of her 6 students one piece each. What fraction of the pear do they eat altogether?. Mr. Lee has visitors. He prepares glasses of orange juice for his visitors. Each glass contains _ liters of orange juice. How many liters of orange juice has Mr. Lee prepared altogether? 06 Chapter 6 Lesson 6.

Worksheet Solve. Line Plots with Fractions of a Unit. Jeff went to a garden and collected some leaves. He measured the lengths of the leaves and recorded them as follows: cm, cm, cm, cm, cm, cm, 7 cm, 6 cm, cm, cm, cm, cm, cm, cm, 6 cm, 7 cm, 6 cm, cm, cm, cm, cm, cm, cm. Draw a table and record the data. Length of Leaves Tally Number of Leaves From the table draw a graph below. Use an to represent one leaf. Reteach A 07

. The graph shows the mode of transportation of children to school daily. Walk Bus Car Bicycle a. Which is the most common way children go to school? b. Why do you think so? c. Which is the least common way children go to school? d. Why do you think so? e. How many more children go to school by bus than by bicycle? 0 Chapter 6 Lesson 6.