About the Author - Carson Dellosa

About the Author

Vicky Shiotsu graduated from the University of British Columbia with a Bachelor’s degree in Education. She taught elementary school at various grade levels for eight years. She also worked as a teacher at a reading/math center before becoming an editor for an educational publishing company. Currently, Vicky helps develop a wide variety of teaching resources, ranging from books and bulletin boards to manipulatives and electronic games. Vicky has a passion for making learn-ing a meaningful and fun process for students. In addition to writing educational materials, she tutors students of all ages in math and reading and teaches enrichment classes in algebra and geometry.

Jumpstarters for Fractions & DecimalsShort Daily Warm-ups for the Classroom

ByVICKY SHIOTSU

COPYRIGHT © 2007 Mark Twain Media, Inc.

ISBN 978-1-58037-398-2

Printing No. CD-404057

Mark Twain Media, Inc., PublishersDistributed by Carson-Dellosa Publishing Company, Inc.

The purchase of this book entitles the buyer to reproduce the student pages for classroom use only. Other permissions may be obtained by writing Mark Twain Media, Inc., Publishers.

All rights reserved. Printed in the United States of America.

978-1-58037-739-3

404057-EB

978-1-58037-739-3

404057-EB

Jumpstarters for Fractions & Decimals

ii© Mark Twain Media, Inc., Publishers

Table of Contents

Introduction to the Teacher ..........................1

Fractions: Identifying Fractional Parts ..........2

Fractions: Comparing Fractions ...................3

Fractions: Fractional Parts of a Number ......4

Fractions: Equivalent Fractions ....................5

Fractions: Simplest Form .............................6

Fractions: Improper Fractions &

Mixed Numbers ......................................7

Fractions: Using Fractions to Show

Division ...................................................8

Fractions: Adding & Subtracting With

Like Denominators .................................9

Fractions: Least Common Multiple &

Greatest Common Factor ...................10

Fractions: Adding Fractions With Unlike

Denominators .......................................11

Fractions: Subtracting Fractions With Unlike

Denominators .......................................12

Fractions: Adding Mixed Numbers .............13

Fractions: Subtracting Mixed Numbers ......14

Fractions: Multiplying Fractions ..................15

Fractions: Multiplying Mixed Numbers .......16

Fractions: Dividing Fractions ......................17

Fractions: Dividing Mixed Numbers ...........18

Decimals: Tenths & Hundredths .................19

Decimals: Thousandths .............................20

Decimals: Decimals & Mixed Numbers ......21

Decimals: Decimals & Place Value ............22

Decimals: Comparing Decimals ................23

Table of ContentsDecimals: Comparing Fractions, Mixed

Numbers, & Decimals ..........................24

Decimals: Rounding Decimals ...................25

Decimals: Adding & Subtracting

Tenths ...................................................26


Hundredths ...........................................27


Thousandths ........................................28

Decimals: Multiplying Whole Numbers &

Decimals ..............................................29

Decimals: Multiplying Decimals by

Decimals ..............................................30

Decimals: Zeros in the Product .................31

Decimals: Dividing Decimals by a Whole

Number ................................................32

Decimals: Writing Remainders as

Decimals ..............................................33

Decimals: Dividing Whole Numbers by

Decimals ..............................................34

Decimals: Dividing Decimals by

Decimals ..............................................35

Decimals: Dividing & Rounding .................36

Decimals: Multiplying by Powers of 10 ......37

Decimals: Dividing by Powers of 10 ..........38

Decimals: Converting Fractions to

Decimals ..............................................39

Answer Keys ..............................................40


1© Mark Twain Media, Inc., Publishers

Introduction to the Teacher

Introduction to the Teacher Just as physical warm-ups help athletes prepare for more strenuous types of activity, mental warm-ups help students prepare for the day’s lesson while reviewing what they have previously learned.

The short warm-up activities presented in this book provide teachers and parents with activities that help develop and reinforce skills involving fractions and decimals. Each page contains five warm-ups—one for each day of the school week. Used at the beginning of class, warm-ups help students focus on topics related to fractions and decimals.

This book has been divided into two sections: the first section focuses on fractions, while the second presents decimals. The skills in each section are presented in a progressive order. Generally, students should master the skills at the beginning of a section in order to successfully complete the activities that are at the end of a section. However, the five activities that are presented on any given page do not need to be presented in a sequential order, since they all relate to the same topic or skill. For example, the third warm-up activity on the “Multiplying Fractions” page may be presented before the first one.

Suggestions for use:

• Copy and cut apart one page each week. Give students one warm-up activity each day at the beginning of class.

• Give each student a copy of the entire page to complete day by day. Students can keep the completed pages in a three-ring binder or folder to use as a resource.

• Make transparencies of individual warm-ups and complete the activities as a group.

• Provide additional copies of warm-ups in your learning center for students to complete at random when they have a few extra minutes.

• Keep some warm-ups on hand to use as fill-ins when the class has a few extra minutes before lunch or dismissal.

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Fractions & Decimals Warm-ups:Fractions—Identifying Fractional Parts

Identifying Fractional Parts 5Write two fractions that describe the part of the square that is shaded. Explain your answer.

Identifying Fractional Parts 4

A. If 5 of 12 flowers are red, what fraction of

the flowers are red?

B. If 7 of 10 balloons are blue, what fraction of

the balloons are not blue?

C. There are 9 caps. If 5 caps are white and 2

caps are yellow, what fraction of the caps

are white or yellow?

Identifying Fractional Parts 3Write the fraction for each.

A. two fourths D. five sixths

B. three fifths E. four ninths

C. six tenths F. three thirds

Identifying Fractional Parts 2Write the fraction for the shaded part.

A. B. C.

Identifying Fractional Parts 1Write the fraction for the shaded part.

A. B. C.

Fractions—Identifying Fractional Parts



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Fractions & Decimals Warm-ups:Fractions—Comparing Fractions

Comparing Fractions 5Use the numbers in the circle to fill in the boxes. Write each number only once.

A. !f < 1

B. @h > 2 C. aO; >

Comparing Fractions 4Write >, <, or =. Use the bars to help you.

A. !s !d

B. @h @d

C. #h !s

D. #f $h

E. !s @f

Comparing Fractions 3

Write the fractions in order from the least to the greatest.

A. %k, !k, &k, #k

B. !j, !s, !d, !l

C. #g, #j, #f, aE;

D. ̂k, aY;, aYs, ^h

Comparing Fractions 2A. Jim ate !f of the pizza. Tracy

ate !h of it. Lee ate !d of the pizza.

Who ate the most pizza?

Who ate the least?

B. Megan has a container of beads. If #g of the

beads are red and #h are blue, does Megan

have more red beads or blue beads?

Comparing Fractions 1Write > or < in the circle to compare the fractions.

A. #h @h D. %h aTs

B. &l *l E. $g $f

C. @d @f F. &l aU;

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Fractions—Comparing Fractions

LEAST

GREATEST

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Fractions & Decimals Warm-ups:Fractions—Fractional Parts of a Number

Fractional Parts of a Number 5

A. Dean baked some cookies. He gave one-half of them to Lee. Now Dean

has 18 cookies. How many cookies did Dean bake in all?

B. Kwan baked some brownies. Her family ate one-fourth of them. Now there are 12 brownies

left. How many brownies did Kwan bake?

C. Jamie baked some muffins. She gave half of them to Brent. Then she gave half of what she had

left to Sara. Now Jamie has 6 muffins left. How many muffins did Jamie bake?

Fractional Parts of a Number 4Find the following numbers.

A. What is #f of 16?

B. What is #k of 24?

C. What is @g of 20?

D. What is %j of 21?

Fractional Parts of a Number 3

How does knowing that !g of 60 equals 12 help

you find out what $g of 60 equals?

Fractional Parts of a Number 2A. There were 28 beads. One-fourth of the

beads were green. How many beads were

green?

B. There were 30 students in the class. If one-

sixth of them wore glasses,

how many students wore

glasses?

Fractional Parts of a Number 1 Find the following numbers.

A. !s of 10 = D. !d of 21 =

B. !d of 15 = E. !j of 14 =

C. !g of 20 = F. !f of 32 =

Fractions—Fractional Parts of a Number

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Fractions & Decimals Warm-ups:Fractions—Equivalent Fractions

Equivalent Fractions 5

A. A fraction is equivalent to !s. The numerator

is a prime number. The denominator is a

multiple of 7. What is the fraction?

B. A fraction is equivalent to %j. The denominator

is 10 more than the numerator. What is the

fraction?

Equivalent Fractions 4Are the fractions in each pair equivalent?

A. $g, WwPt D. QeYy, $l

B. #j, QwTq E. aOs, #f

C. @d, QwRr F. QwTt , $g

Equivalent Fractions 3Write a fraction for the shaded part. Write two equivalent fractions for each picture.

A. B. C. D.

Equivalent Fractions 2A. List three equivalent fractions for !s. Look

at the numerators and denominators. What

pattern do you see?

B. List three equivalent fractions for !g. Look

at the numerators and denominators. What

pattern do you see?

Equivalent Fractions 1Make equivalent fractions.

A. !d = D. !f = 5

9

B. #g = E. @g = 10

10

C. $j = F. %k = 20

21

Fractions—Equivalent Fractions

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Fractions & Decimals Warm-ups:Fractions—Simplest Form

Simplest Form 5Write the answers in simplest form.

A. What fraction of the total number of students

are boys? B. What fraction of the total number of students

are girls?

Simplest Form 4Write the answers in simplest form.

A. There are 20 balloons. Eight

balloons are red. What fraction of the

balloons is red?

B. Janet had $36. She spent $12 on school

supplies and $8 on magazines. What fraction

of her money did she spend?

Simplest Form 3

Circle the fraction in each group that is not in simplest form.

A. !k #k $k %k D. aQs aEs aTs aUs

B. @l $l ^l *l E. aWg aRg aTg aUg

C. aE; aT; aU; aO; F. aEk aTk aUk QqQi

Simplest Form 2

Write each fraction in simplest form.

A. aY; D. aEg

B. #l E. aOs

C. aRh F. QwIq

Simplest Form 1

Is each fraction in simplest form? Write yes or no.

A. #k D. aTs

B. $h E. QeRt

C. aOg F. QwIt

Number Number of Boys of Girls

Room 1 11 13Room 2 9 15

Fractions—Simplest Form

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Fractions & Decimals Warm-ups:Fractions—Improper Fractions & Mixed Numbers

Improper Fractions & Mixed Numbers 5A. Lori needs !s yard of fabric to make

a teddy bear. How many yards of

fabric will she need to make 9 teddy

bears?

B. Evan needs #f cup of flour to make 1 batch

of brownies. How many cups of flour does

he need to make 5 batches of brownies?

Improper Fractions & Mixed Numbers 4Write the missing fractions from the number line.

A. B. C.

D. E.

Improper Fractions & Mixed Numbers 3Write the improper fractions as mixed numbers or whole numbers.

A. AwG = D. SyG =

B. (d = E. SiL =

C. AuK = F. Sr: =

Improper Fractions & Mixed Numbers 2Write the mixed numbers as improper fractions.

A. 2 $g = D. 3 @l =

B. 3 !k = E. 2 %h =

C. 4aU; = F. 6 #g =

Improper Fractions & Mixed Numbers 1Write a mixed number and an improper fraction that each tells what part is shaded.

A. , B. , C. , D. ,

0 1 2 3 4

)s !s A B $s C ̂s D E

Fractions—Improper Fractions & Mixed Numbers

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Fractions & Decimals Warm-ups:Fractions—Using Fractions to Show Division

Using Fractions to Show Division 5

Write the answer to each division problem as a mixed number. Use simplest form.

Example: 6 16 = 2R4 = 2 $h = 2 @d

A. 3 20 C. 9 30

B. 4 34 D. 8 50

Using Fractions to Show Division 4Write each division problem in three ways. Use two division symbols and one fraction bar.

A. 21 divided by 9

B. 12 divided by 25

Using Fractions to Show Division 3Write each division problem as a fraction.

A. 16 ÷ 8 D. 3 ÷ 9

B. 14 ÷ 7 E. 4 ÷ 7

C. 15 ÷ 6 F. 12 ÷ 25

Using Fractions to Show Division 2Divide to change each improper fraction into a whole number.

A. AyS = D. Sw: =

B. AeG = E. AyK =

C. ArH = F. SeF =

Using Fractions to Show Division 1A. Circle the fraction that stands for 10 ÷ 2.

aW; Aw: QqPp @s

B. Circle the fraction that stands for 4 12.

ArS aRs $f QqWw

C. Circle the fraction that stands for 8 divided by 5.

*k %k %g *g

Fractions—Using Fractions to Show DivisionJumpstarters for Fractions & Decimals


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Fractions & Decimals Warm-ups:Fractions—Adding & Subtracting With Like Denominators

Adding & Subtracting With Like Denominators 5Write the answers in simplest form.

A. @h + !h = D. QqQw – aWs =

B. %l + !l = E. aQ; + aQ; =

C. $k – @k = F. QwYp – QwPp =

Adding & Subtracting With Like Denominators 4A. Lisa cut a pizza into 12

equal slices. She ate 2

slices. Mark ate 1 more slice than Lisa. What

fraction of the pizza was eaten?

B. Kelly bought 1 yard of fabric. She bought #k yard more fabric than Shannon. How many

yards of fabric did Shannon buy?

Adding & Subtracting With Like Denominators 3Write the missing numbers.

A. 10 + aE; + aE; = 10 = $g

B. aUk + 18 = QqRi = 7

C. QwIr – 24 – sTf = 24 = !d

Adding & Subtracting With Like Denominators 2Write the missing numbers.

A. 15 + aEg = QqQt C. aOh + 16 = 1

B. 14 – aYf = aUf D. qQTi – 18 = aUk

Adding & Subtracting With Like Denominators 1

A. @h + #h = D. aU; – aR; =

B. &l + !l = E. QwPp – sO; =

C. aIs + aEs = F. QwTr – sIf =

Fractions—Adding & Subtracting With Like Denominators

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Fractions & Decimals Warm-ups:Fractions—Least Common Multiple & Greatest Common Factor

Least Common Multiple & Greatest Common Factor 5A. The GCF of an odd number and an even number is 13. The greater number

is 39. What is the lesser number? B. The LCM of two numbers is 24. The GCF is 4. One number is 4 more

than the other. What are the numbers? C. The LCM of two numbers is 75. The GCF is 5. The sum of the numbers

is 40. What are the numbers? D. The LCM of two numbers is 60. The sum of the numbers is 50. What are

the numbers?

Least Common Multiple & Greatest Common Factor 4Find the GCF and LCM of each set of numbers.

A. 6, 9, 12 GCF LCM

B. 8, 10, 24 GCF LCM

C. 12, 30, 18 GCF LCM

Least Common Multiple & Greatest Common Factor 3Write the greatest common factor (GCF).

A. 18, 27 D. 25, 75

B. 24, 36 E. 32, 40

C. 45, 60 F. 48, 64

Least Common Multiple & Greatest Common Factor 2Write the least common multiple (LCM).

A. 8, 12 D. 12, 18

B. 9, 27 E. 24, 72

C. 10, 25 F. 18, 27

Least Common Multiple & Greatest Common Factor 1Write the first three multiples of each number.

A. 9 , ,

B. 12 , ,

C. 15 , ,

D. 24 , ,

Fractions—Least Common Multiple & Greatest Common Factor

GCF

LCM

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Identifying Fractional Parts 1 (p. 2)

A. %l B. #h or !s C. $h or @d


A. !j B. aUs C. ^h


A. @f B. #g C. aY; D. %h E. $l F. #d


A. aTs B. aE; C. &l


#f, ^kThe square can be described as being divided into four equal parts or eight equal parts.

Comparing Fractions 1 (p. 3)A. > B. < C. > D. > E. < F. >

Comparing Fractions 2 (p. 3)A. Lee; Tracy B. red beads

Comparing Fractions 3 (p. 3)

A. !k, #k, %k, &k B. !l, !j, !d, !s

C. aE;, #j, #g, #f D. aYs, aY;, ^k, ^h

Comparing Fractions 4 (p. 3)A. > B. < C. = D. > E. =

Comparing Fractions 5 (p. 3)

A. !d B. @k C. $g

Fractional Parts of a Number 1 (p. 4)A. 5 B. 5 C. 4 D. 7 E. 2 F. 8

Fractional Parts of a Number 2 (p. 4)A. 7 B. 5

Fractional Parts of a Number 3 (p. 4)Four-fifths of 60 is four times more than one-fifth of 60.

To find $g of 60, multiply 12 by 4.

Fractional Parts of a Number 4 (p. 4)A. 12 B. 9 C. 8 D. 15

Fractional Parts of a Number 5 (p. 4)A. 36 B. 16 C. 24

Equivalent Fractions 1 (p. 5)

A. #l B. aY; C. QwWq D. sT; E. QwPt F. WePw


A. Examples: #h, $k, aT; Accept reasonable answers. Example: The

denominator is twice the numerator.

B. Examples: aW;, aEg, sR; Accept reasonable answers. Example: The

denominator divided by the numerator equals 5.


A. !s, @f B. @h, !d C. !d, #l D. #f, aOs

Equivalent Fractions 4 (p. 5)A. yes B. no C. no D. yesE. yes F. no


A. aUf B. WeTt

Simplest Form 1 (p. 6)A. yes B. no C. no D. yesE. no F. yes

Simplest Form 2 (p. 6)

A. #g B. !d C. !f D. !g E. #f F. ^j


A. $k B. ^l C. aT; D. aEs E. aTg F. aEk


A. @g B. %l


A. aTs B. aUs

Improper Fractions & Mixed Numbers 1 (p. 7)

A. 1!s, #s B. 3#f, ArG C. 2 !d, &d D. 4@g, StS


A. AtF B. SiG C. RqUp D. SoL E. QhU F. DtD

Fractions & Decimals Warm-ups:Answer Keys

Answer Keys




A. 7!s B. 3 C. 2$j D. 4!h E. 3%k F. 5


A. @s B. #s C. %s D. &s E. *s


A. (s or 4!s yards B. ArG or 3#f cups

Using Fractions to Show Division 1 (p. 8)

A. Aw: B. ArS C. *g

Using Fractions to Show Division 2 (p. 8)A. 2 B. 5 C. 4 D. 10 E. 3 F. 8


A. AiH B. QjR C. AyG D. #l E. $j F. QwWt


A. 21 ÷ 9 ; 9 21; SoA B. 12 ÷ 25 ; 25 12; QwWt


A. 6@d B. 8!s C. 3!d D. 6!f

Adding & Subtracting With Like Denominators 1(p. 9)

A. %h B. *l C. QqQw D. aE; E. sQ; F. sUf


A. aIg B. QqEr C. aUh D. aIk


A. aW; + aE; + aE; = aI; = $g B. aUk + aUk = QqRi = &l

C. QwIr – sTf – sTf = sIf = !d


A. aTs B. %k yard


A. !s B. @d C. !f D. #f E. !g F. aE;

Least Common Multiple & Greatest Common Factor 1 (p. 10)A. 9, 18, 27 B. 12, 24, 36 C. 15, 30, 45 D. 24, 48, 72

Least Common Multiple & Greatest Common Factor 2 (p. 10)A. 24 B. 27 C. 50 D. 36 E. 72 F. 54

Least Common Multiple & Greatest Common Factor 3 (p. 10)A. 9 B. 12 C. 15 D. 25 E. 8 F. 16

Least Common Multiple & Greatest Common Factor 4 (p. 10)A. GCF–3, LCM–36 B. GCF–2, LCM–120C. GCF–6, LCM–180

Least Common Multiple & Greatest Common Factor 5 (p. 10)A. 26 B. 8, 12 C. 15, 25 D. 20, 30

Adding Fractions With Unlike Denominators 1 (p. 11)

A. sUa + sOa = Qw Yq B. aI; + aQ; = aO;

C. aEk + aIk = Qq Qi D. sOf + QwRr = Ww Er


A. %k + @k = &k B. @h + #h = %h


A. !f + aQ; = sT; + sW; = sU; B. !s + sQ; = QwPp + sQ; = Qw Qp


A. !k + @k = #k B. aR; + aR; = aI; = $g

C. sIf + QwWr = WwPr = %h D. aYk + aOk = QqTi = %h

Adding Fractions With Unlike Denominators 5(p. 11)

A. aIh + aYh + aQh = Qq Ty B. QyTp + WyPp + WyRp = Ty Op

C. aRsP; + aQsT; + aQsW; = aYsU;

Subtracting Fractions With Unlike Denominators 1(p. 12)

A. WeQp – QePp = Qe Qp B. WwPr – sEf = Qw Ur

C. TyTp – RyIp = hU; Subtracting Fractions With Unlike Denominators 2(p. 12)

A. aI; – aQ; = aU; B. ErTp – QrYp = Qr Op

C. QqTi – aEk = QqWi = @d D. ErPi – fIk = WrWi = Qw Qr

Answer Keys

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About the Author - Carson Dellosa