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MathecitPrac PuzzlesFractions and DecimalsbyBob OlenychNew York Toronto London Auckland SydneyMexico City New Delhi Hong Kong Buenos AiresMath Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
DEDICATIONTo Paula with all my love.Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book forclassroom use. No other part of this publication may be reproduced in whole or in part, or stored in a retrievalsystem, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise,without written permission of the publisher. For information regarding permission, write to Scholastic Inc., 555Broadway, New York, NY 10012.Cover design by Kelli ThompsonCover art by Mike MoranInterior design by Melinda BelterInterior illustrations by Steve CoxISBN 0-439-28850-9Copyright 2001 by Bob Olenych. All rights reserved.Printed in the U.S.A.Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Table of ContentsINTRODUCTION4DECIMALSStudent Reference PagesFRACTIONSStudent Reference Pages5Quick Tips About FractionsEquivalent FractionsBreak the Code7Equivalent Fraction Match8Equal Values9Comparing and Ordering FractionsGreater Than10Least to Greatest11LCD and Lowest TermsWhat Did the Ocean Say to the Seashore? 12Find the Match26Quick Tips About Decimals13Addition and Subtraction(like denominators)Did You Hear? Riddles14Sticky Code15Mixed Number Search16Addition and SubtractionAdditionSurfer Boy28Crack the Code #129SubtractionLet’s Play Bingo30What’s the Difference?31Mixed Practice (addition and subtraction)Shapely Math32Equal Values33MultiplicationCross-Number Puzzle34Question and Answer35Last Number—First Number36Crack the Code #237DivisionTic-Tac-Toe #238Division Bingo39Mixed Practice (addition, subtraction,(unlike denominators)multiplication, and division)Why Couldn’t the Great Houdini EverAnswer the Phone?17Decimal Fun40Low-Grade Infection18Follow the Arrows41Humpty Dumpty Riddle19Baseball Trivia42What’s His Reason?20Let’s Fly South21Multiplication and Division39 Errors22Cross Them Out23Gone Fishing24Tic-Tac-Toe #125Fractions and DecimalsDecimal Match43Match It44Super Challenge45ANSWER KEY46Multiplication and Division Practice Can Be SuperFun!Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
MATH PRACTICE PUZZLES FRACTIONS AND DECIMALSIntroductionWORKING WITH FRACTIONS AND DECIMALS CAN BE FUN!When students grasp how fractions and decimals appear in their everyday lives—from dividing a chocolate bar intoequal servings to producing change from a money transaction—they are ready to work with these concepts in moreadvanced ways. I build on each new understanding and follow up with engaging, self-checking practice exercises likethe ones in this book.WHAT YOU’LL FIND IN THIS BOOKStudent Reference Page: Working With FractionsStudent Reference PageName DateName DateTips for Converting Fractions to DecimalsTips for Creating Equivalent Fractions and Reducing FractionsThis book offers a collection of 37fraction and decimal puzzles and-9:activities for a broad range of skills andTips for Adding, Subtracting, Multiplying, and Dividing Fractions-;: :abilities. The book begins with activities- :9: :involving fractions, progresses to decimals,and finally moves into mixed practice. Thepuzzles are arranged according to skill,from easy to difficult. You can match theneeds of your students and target a specific}skill by checking the skill description listedboth in the table of contents and under theobjective on each activity page.I’ve included some quick-and-easy«student reference pages for both fractionsand decimals (pages 5–6 and 26–27). Thesepages teach some useful tips for studentsas they add, subtract, multiply, and dividefractions, work with equivalent fractions, and express fractions in simplest terms. I’ve also provided some tips for thebasic operations with decimals and for converting fractions to decimals.Creating Equivalent FractionsTo CONVERT Fractions to DecimalsSince you can’t add or owing how toStudentReferenceWorkingWith Fractionsmake equivalent fractions is essential.Name DateTake?!# x 3 "!" " %" .If the denominators of the fractions in the equation are the same, add orsubtract the numerators to find the sum or difference.Reducing Fractions to Simplest Form&) * &) * (tenths)Tips for Adding, Subtracting,Multiplying, and Dividing Decimals2. Use the number of zeros youcounted to show the number ofdecimal places you’ll need inyour answer. .3743 decimal placesTake 5.34 22.6 345.427 22 (thousandths)Line up the decimal points of each numberwhen you write the problem vertically.BUT if the denominator is not 10, 100, or 1000 (or any multiple of 10), create equivalent fractions thatHintshow tenths, hundredths,or 5.340thousandths.5.34Add zeros to act as placeholders.values are notIf your place22.622.600you add oraligned whengetTenths345.427345.427decimals, you’llsubtract with 22r! 22.000Use a decimal point if you add zeros tothe wrong answe² ₅ ⁴ ₁₀ numbers.4Here, 5 is a factor of 10.whole395.367Create an equivalent fraction with tenths.Bring the decimal point down in your answer.If the denominators of the fractions in the equation are different, before1. To express a fraction in its simplest form, ask: Do the numerator and the denominatoryou add or subtract, create equivalent fractions (see Tips page 6).share any of the same factors? (Can they be divided by any of the same numbers?)2. Find the largest common factor and divide both the numerator and the denominatorMake these denominators equal before you add!by that number.HundredthsTo MULTIPLY³ ₄Decimals ⁷⁵ ₁₀₀&) %*Take 5.63 x 4.6 denominators are different!" * *Ask: Do the numerator 3 and the EQUIVALENTdenominator 9 share any of the sameTake "FRACTIONSfactors? Answer: Yes! They can bothbe divided by 3,Now you can add this equation!Tipthe largest common factor.Take25.8983 3 1 Divide the numerator 3 by 3 to get the new numerator, 1.9 3 3 FractionsMULTIPLYDivide the denominator 9 by 3 to get the new denominator, 3.(' x !, So, " !# .(' x !, -.,To DIVIDE DecimalsMultiply numeratorsWhen you divide, your divisor must be a whole number. If the dividend has a decimal, placea decimal point directly above the decimal point in the answer. Divide to solve the problem.Multiply denominatorsTake 1.5 3 !/ !,!/ x &- &/ !,Count the number of decimal places in the question.¹²⁵ ₁₀₀₀ there.125Here,places.8 is a factor of 1000.All togetherare 3 decimalCreatean equivalentShow the same number of places in the answer (3decimalplaces). fraction with thousandths.31.5The dividend has a decimal.0.5To6DIVIDE FractionsTake .75Here, 4 is a factor of 100.Create an equivalent fraction with hundredths.Set up the problem and multiply as you would withwhole numbers.Thousandths5.632 decimal places¹ ₈place x 4.61 decimalAlways do thesame tothe numeratoras you doto the denominator.To1. Count the number of zeros inthe denominator.2 decimal places(hundredths) .12To ADD or SUBTRACT DecimalsFirst, identify the lowest common denominator (the LCD). 9numeratorsAsk: What number can I multiply by to get this new denominator?Take &' 'Multiply the numerator by that same number. !# x 3 "So, !# " .denominatorsNow you can solve the problem:1 decimal place .7Here’s how to change !# into ninths:To ADD or SUBTRACT Fractions&' ' ('Name Date!" !# Because the denominators are different, solving this problem is like adding apples and oranges. Eitheryou need to add in thirds or in ninths—how do you choose? Go for the least common denominator (9).You can solve this problem by showing both fractions as ninths.TakeStudent Reference Page: Working With DecimalsIf you’re working with a fraction with the denominator 10, 100, or 1000:3Scholastic Professional Books Math Practice Puzzles: Fractions and Decimals&-1.5Place a decimal point in your answer directly above the decimal point in the dividend.Scholastic Professional Books Math Practice Puzzles: Fractions and DecimalsIf the divisor has a decimal, change it to a whole number by moving the decimal point to theright. Count the number of spaces you moved it.Invert the second fraction of the equation.Multiply numerators0.3Multiply denominators1.5Move the decimal one place to the right to make 0.3 a whole number.Then adjust the dividend by moving the decimal to the right the same number of spaces.5.03Scholastic Professional Books Math Practice Puzzles: Fractions and Decimals515.0Now you can divide, noting the new position of the decimal point in your answer.26Scholastic Professional Books Math Practice Puzzles: Fractions and DecimalsHOW TO USE THIS BOOKUse these puzzles in the way that best suits the needs of your class. You may find it helpful to assign certain puzzlesas practice work to follow a lesson, as review work, or as homework. You also may want to have students work ondifferent puzzles depending on the skill areas in which each student needs practice. The beauty of these activities isthat almost all of them are self-correcting. Whether they are solving a riddle, breaking a code, or filling in a numberpuzzle, students are encouraged to check each problem so that they can finish the puzzle correctly.CONNECTIONS TO THE MATH STANDARDSMost of the puzzles in this book target NCTM 2000 objectives listed under the Number and Operations standard.These objectives include understanding ways to represent numbers, determining meanings of operations and howthey relate to one another, and computing with fluency and accuracy. This book is packed with exercises that requirestudents to use the operations of multiplication and division in a variety of formats, including word problems andmultiple-step equations.I’m confident that your students, like mine, will enjoy this collection of puzzles and reap the benefits of practicingthese essential skills.—Bob Olenych4Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources27
Student Reference Page: Working With FractionsName DateTips for Adding, Subtracting, Multiplying, and Dividing FractionsTo ADD or SUBTRACT FractionsnumeratorsTake&' ' denominators&' ' ('If the denominators of the fractions in the equation are the same, add orsubtract the numerators to find the sum or difference.&) * If the denominators of the fractions in the equation are different, beforeyou add or subtract, create equivalent fractions (see Tips page 6).&) * Make these denominators equal before you add!Takedenominators are different!" * *&) %*EQUIVALENTFRACTIONSNow you can add this equation!To MULTIPLY FractionsTake(' x !, (' x !, -.,Multiply numeratorsMultiply denominatorsTo DIVIDE FractionsTake!/ !,!/ x &- &/ !, « &-Invert the second fraction of the equation.Multiply numeratorsMultiply denominators5Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Student Reference Page: Working With FractionsName DateTips for Creating Equivalent Fractions and Reducing FractionsCreating Equivalent FractionsSince you can’t add or subtract fractions with different denominators, knowing how tomake equivalent fractions is essential.Take!" !# Because the denominators are different, solving this problem is like adding apples and oranges. Eitheryou need to add in thirds or in ninths—how do you choose? Go for the least common denominator (9).You can solve this problem by showing both fractions as ninths.Here’s how to change!# into ninths:First, identify the lowest common denominator (the LCD). 9Ask: What number can I multiply by to get this new denominator?Multiply the numerator by that same number. !# x 3 "So, !# ?!# x 3 " " .Now you can solve the problem:!" " %" .Reducing Fractions to Simplest Form1. To express a fraction in its simplest form, ask: Do the numerator and the denominatorshare any of the same factors? (Can they be divided by any of the same numbers?)2. Find the largest common factor and divide both the numerator and the denominatorby that number.Take3 3 19 3 3So, " "Ask: Do the numerator 3 and the denominator 9 share any of the samefactors? Answer: Yes! They can both be divided by 3,Tipthe largest common factor.Divide the numerator 3 by 3 to get the new numerator, 1.Always do thesame tothe numerator as you doto the denominator.Divide the denominator 9 by 3 to get the new denominator, 3.!# .6Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Equivalent FractionsName DateBreak the CodeWhy should you always read your work afterusing spell check?Find the missing numerator or the denominator to make each pair of fractionsequivalent. When you complete a problem, locate your answer in the code boxbelow. Write the letter from each problem in the code box with the matching answer. If the answer appearsin more than one code box, fill in each one with the same letter.7 * % E?E A%" ,@A &/ -/WW (' HDH N @ O?O ) ,:MM I -., G,)G &# ! KEK U / !Y(Y S&* #,S T!, -)T -A: BCRR %' ,)- / ! I&NU(@ 7830451036T7162145451661610.7Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Equivalent FractionsName DateEquivalent Fraction MatchIn the grid below, there are 13 columns of fractions with a fraction atthe top of each column. Shade in all of the boxes directly below thefraction that have an equivalent value to the top fraction. You willdecode an answer to the following question:What four letters did the crowd chant tothe man who had been in the ring with theprofessional wrestler?¹ ₄² ₅³ ₈¹ ₃⁴ ₆¹ ₅¹ ₂⁷ ₉¹ ₈² ₃³ ₅ ⁷ ₁₀ ³ ₄('- '!#E, "!,%)#9/%"!-*(- "%/-F/!#D:(*%"%'-F,,9-!-D*- /!*&#, )-G,!-&* /-A, *-F: "-./!#- :%" /!,!-&* "!,%:!,- ,,G:!#&,- ,%/,./-9#&,!*&/%'!,&:!,-F,,9*!-(*!)E*-F*-G,, :%*!-*%# ,!-D/-F:!#(:&#&*-F/-F'%"&/%*-9)&#E,- 'H"- ' /(:-9',.:- :-A'' !-'&,F*!,D:%', )!,H)H"&) :H*,F)!#D:!)(:!)D/!#E:#F/ ') )F*H*,G/ )%*- ',F:,F)'&-A,- '-.:&,!@).:!,D),A:&#!/,G:8Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Equivalent FractionsName DateEqual ValuesChange the improper fractions in the top boxes to mixed numbers in theirsimplest form. Discover the answer to the question below by writingeach word from the top set of boxes in the box below with the matchinganswer (the mixed number in its simplest form).When the teacher asked for a sentence containing the word “avenue,”what did one student say?ANDHAVEISI’LL⁴ ₃ 1 ¹ ₃ ¹² ₈ ¹⁴ ₁₂ ¹¹ ₆ PUPPIESFRIEND’SRETRIEVER⁵ ₂ ¹¹ ₅ ¹⁴ ₁₀ PLAY¹⁰ ₆ 1³ ₄TO¹³ ₉ GOLDEN⁹ ₈ 1³ ₅DOG¹¹ ₄ 2¹ ₂TO¹⁰ ₇ 2 ³ ₄BEST⁸ ₅ SOON¹⁸ ₁₄ WITHMY⁷ ₄ ABOUT¹⁰ ₈ AVENUE¹³ ₁₂ ¹² ₁₀ 1¹ ₆1¹ ₄1² ₇1⁵ ₆AND1³ ₇1¹ ₂1² ₅1¹ ₃.1¹ ₅1¹ ₈2¹ ₅1⁴ ₉1² ₃1¹ ₁₂9Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Comparing and Ordering FractionsName DateGreater ThanEach row has three fractions that are greater in value than the fraction in the V .Find those fractions and circle them. Above each fraction you circle, you willsee a number and a word. Write the word in the answer code box with thematching number.When the teacher asked for a sentence containing theword “climate,” what did one student EW⁴ ₉³ ₁₂⁶ ₁₅⁴ ₁₈³ ₆⁵ IVED13—A¹⁶ ₃₀¹⁰ ₁₅¹⁴ ₂₅⁷ ₁₀¹³ ₂₀⁸ BASE³ ₈⁵ ₁₄⁹ ₁₆³ ₄⁵ ₁₂⁶ IN¹⁴ ₁₈¹⁵ ₂₄¹ ₄³ ₆⁹ ₁₂²¹ ₂₄6—DAY5—AT14—STEEP¹ ₈⁵ ₆⁴ ₁₂⁵ ₂₄⁶ ₁₆⁶ �THAT¹¹ ₁₆³ ₆¹ ₃¹⁶ ₂₄³ ₆²¹ ₃₂¹ ₃³ ₅¹ ₂⁴ ₆¹ ₄⁵ ₈14—BUZZARD 8THE.10Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Comparing and Ordering FractionsName DateLeast to GreatestIn the problems below, the smallest fraction of a set appears in a O followed by fivefractions to the right of the O. Write these remaining five fractions in order from least togreatest in the boxes below each set. Match the fraction that is in the shaded box with the answers under thecode spaces at the bottom of the page. Write the word under each shaded box in the matching code spaceto reveal an answer to the riddle. The first one has been started for you.How many schoolbooks can be put into an empty backpack?1.-;,LEAST#!¹ ₆)!¹ ₄!'&/#;:- :-.,GREATESTthe2.* empty- /,.:!/LEASTGREATESTthat3.&#!, )(*'(-9,LEASTGREATESTbag4.-9)!@@(because,G* @ @LEASTGREATESTnot5.%'!/- :only%/-9:!- /LEASTGREATESTone6.&#D,&)-A'isE*H*!- 'LEASTANSWERGREATESTafterthe .(@%'('!-' ,.:!)(*%/ @ *11Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
LCD and Lowest TermsName DateWhat Did the Ocean Say to the Seashore?Determine the LCD (least common denominator) for each pairof fractions. Using a ruler or a straightedge, draw a line fromthe fraction pair to the matching LCD. Your line will gothrough a number and a letter. The number tells you whereto write the letter in the code below to answer the riddle.LCD ofLCD of² ₃ and ⁵ ₆ T³ ₅ and ¹ ₃ W¹ ₂ and ² ₇ J186 10² ₆ and ⁴ ₉ A14N³ ₄ and ² ₅ ² ₃ and ⁵ ₈ 40⁷ ₁₆ and ³ ₄ 14⁶ ₇ and ⁴ ₈ 12172O⁷ ₈ and ³ ₅ 123410111213N11 T5U 18³ ₇ and ⁶ ₉ 20³ ₄ and ⁵ ₉ 15¹ ₃ and ⁶ ₉ 56147W15H1168² ₃ and ⁴ ₇ 6V13⁴ ₅ and ³ ₆ 10 715² ₅ and ¹ ₂ 28GE³ ₄ and ⁶ ₇ I 16 21 36 63 56 24S3D¹ ₄ and ¹ ₃ ⁶ ₈ and ¹ ₂ 12I 49T 30 —1689171812Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources.98
LCD and Lowest TermsName DateFind the MatchReduce all of the fractions on the left side of the page to their lowest terms.Find the exact match in the boxes on the right. When you have found thematch, take the word from the left and write it in the box with the matchinganswer at the right. Reveal an answer to the following question by reading downcolumn one and then down column two.Why did the sword swallower swallow an umbrella?HE⁶ ₉ RETIRING² ₃¹² ₁₄ PUTWANTED⁶ ₁₈ ² ₈ DAYAWAY² ₁₂ ¹⁵ ₂₁ ASOON¹⁴ ₁₆ ⁶ ₁₂ WOULDHE³ ₂₇ ¹⁰ ₁₆ FORKNEW⁹ ₁₂ ⁴ ₂₀ TORAINY⁸ ₁₈ ¹⁴ ₁₈ SOMETHINGBE⁸ ₃₆ ¹⁰ ₁₂ VERYTHAT⁶ ₁₀ ⁹ ₂₁ HESO¹⁰ ₁₈ ¹² ₃₂ COLUMN ONECOLUMN T WO⁵ ₉² ₃¹ ₅¹ ₄³ ₇⁴ ₉⁵ ₈¹ ₃¹ ₉² ₉⁵ ₆⁵ ₇⁶ ₇³ ₄³ ₅⁷ ₈¹ ₂⁷ ₉³ ₈¹ ₆HE.13Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Addition and Subtraction (like denominators)Name DateDid You Hear? RiddlesDid you hear . . . about the construction worker’s shirt collar? Never mind—⁵ ₉¹ ₅⁵ ₉¹ ₅¹ ₄¹ ₁₂⁴ ₉⁷ ₈¹ ₃’⁷ ₈⁶ ₇S⁵ ₁₂⁵ ₉¹ ₂⁵ ₈⁷ ₈¹ ₄⁴ ₉⁵ ₉⁵ ₈⁶ ₇S . . . about the woman who swallowed a fish bone? Never mind—⁵ ₉⁷ ₈² ₅⁵ ₇¹ ₄⁴ ₉⁵ ₈² ₃¹ ₂⁵ ₈⁶ ₇⁵ ₁₂S⁵ ₁₂¹ ₃³ ₄⁵ ₈⁷ ₉³ ₅.To decode these jokes, solve the addition and subtraction problems below, expressing answers in their simplest terms. Locate the answers in the code boxes under the riddles. Write the letter from each problem in thecode box with the matching answer. If the answer appears in more than one code box, fill in each one withthe same letter.S 67 %@ Y -G,A (" !" O !-'&–P -F/L -A,–- , ⁶ ₇K -G: –- : T !-&' - ' "&" C -G:–- : - * M %* &* -.' R ?"-9, H -.) -.) D -.:–- : I U !-&* -G' E !-('– - / N -G,–- , ––(" 14Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Addition and Subtraction (like denominators)Name DateSticky CodeTo decode this puzzle, complete all of the problems, expressing answersin their simplest terms. Locate the answers in the code boxes below.Write the letter from each problem in the code box with the matching answer.If the answer appears in more than one code box, fill in each one with the same letter.What did one bottle of glue say to the other?⁴ ₈ ¹ ₂?* – ( * &* ) R( TUV – %" ) !" T( -! D, – -F, ) -F, A ' ( H' – ' ) I( @ – @ ) !@ H( E" – %" ) &" N- : ( -A: – - : ) S-A: – (- : - : ) G( -! D' - ' ) – !-&' L( * – %* ) * E-! D) ( -9) – -.) ) O( TUW – " ) &" V( !* * ) – * Y- / ( -! %/ – -A/ ) W³ ₅³ ₄³ ₅⁵ ₇⁵ ₆⁸ ₉³ ₄⁷ ₉⁶ ₇² ₅³ ₄1⁷ ₉-! &/ – ( -./ - / ) -! D, – ( -9, - , ) R¹ ₈¹ ₈¹9₁₂³ ₄¹9₂⁷ ₉⁵ ₆⁷ ₉⁶ ₇⁹ ₁₀⁷ ₉1¹9₁₂¹ ₅⁵ ₇³ ₄R¹9₂ K1 C² ₃.Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources¹ ₈⁵ ₈15
Addition and Subtraction (like denominators)Name DateMixed Number SearchSolve the problems carefully, expressing all answers in simplest terms.Locate and cross out each of the correct answers in the grid. (Answers runhorizontally across two or more boxes, left to right.) When you have finished, 24 boxes will remain. Write theremaining letters in order from left to right and top to bottom to reveal the answer to the following riddle.Why did the cat sleep with the ceiling fan on?5 ³ ₈ 7 ² ₈ 12 ⁵ ₈13 ¹ ₄ 20 ¹ ₄2 ² ₃ 2 ² ₃ 12 ⁸ ₁₂– 4 ⁶ ₁₂4 ² ₆ 8 ² ₆ 14 ⁹ ₁₂– 3 ³ ₁₂HGDNTHRTTO3713H523¹ ₇4⁷ ₁₁ANEDBOAME4BSSRYHDS1¹ ₂LCR333321¹ ₂TEAOU2ECNOW12¹ ₄EAT3A¹ ₃R8⁴ ₅¹ ₃Y² ₃775I¹ ₈2² ₅8¹ ₃359T4SVWH⁹ ₁₀47 ⁴ ₅– 2 ² ₅S9511 ⁵ ₈ 11 ⁴ ₈S² ₇I9 ⁷ ₈ – 2 ³ ₈ ⁵ ₈I634 ⁵ ₁₀ 3 ³ ₁₀ 2⁷ ₁₂1E24 ⁹ ₁₄– 11 ⁵ ₁₄1529 ⁸ ₁₂ – 4 ¹ ₁₂ 4 ⁶ ₈ 7 ⁴ ₈7 ⁵ ₇ – 2 ⁴ ₇ 2 ¹ ₃ 9 ¹ ₃6 ⁷ ₉ – 2 ⁴ ₉ 1I3¹ ₆L1² ₃NOED77¹ ₂16Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Addition and Subtraction (unlike denominators)Name DateWhy Couldn’t the Great Houdini Ever Answer the Phone?To answer the riddle, solve all of the problems, expressing answersin simplest terms. Locate your answers in the code boxes. Write the letterfrom each problem in the code box with the matching answer. If the answerappears in more than one code box, fill in each one with the same letter.NL² ₃ ¹ ₄ C² ₆ ³ ₁₀ ¹¹ ₁₂A⁴ ₉ ² ₃ D⁴ ₈ ¹⁰ ₁₂ ² ₉ ³ ₆ G³ ₇ ¹ ₂ M³ ₄ ⁴ ₈ P⁴ ₈ ¹ ₃² ₁₀ ⁶ ₁₅ U³ ₅ ² ₁₀ IW² ₄ ³ ₆ T⁴ ₅ ¹ ₃ ³ ₄ ² ₅ H⁴ ₆ ¹ ₂ YES⁶ ₁₅ ² ₃ ² ₄ ⁴ ₁₀ N⁴ ₅11³ ₂₀¹³ ₁₈1¹ ₃1 ¹ ₁₅⁵ ₆1¹ ₉³ ₅1 ¹ ₃⁹ ₁₀1 ¹ ₃¹⁹ ₃₀³ ₅1 ¹ ₃1 ² ₁₅ ⁹ ₁₀⁴ ₅⁵ ₆1 ³ ₂₀1 ¹ ₄¹³ ₁₄.1¹ ₆⁵ ₆1¹ ₃¹¹ ₁₂17Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Addition and Subtraction (unlike denominators)Name DateLow-Grade InfectionWhy did the boy’s dad suffer from a low-grade infection?Solve these subtraction problems, expressing your answers in simplest terms. Matcheach answer from the top boxes with a fraction in the boxes below. Discover the answer tothe riddle by writing each word from the top set of boxes in the box below with the matching answer.HESAWFELTCARD⁵ ₆– ³ ₈⁵ ₆.– ⁵ ₁₀² ₄– ² ₅⁷ ₈– ² ₃TOALWAYSSICKHIS² ₃ – ² ₄ ¹ ₆SCHOOL⁸ ₉ – ¹ ₂ STOMACH³ ₄ – ⁵ ₁₀ ³ ₅ – ¹ ₃ SON’STIME⁵ ₈– ² ₄⁷ ₉– ³ ₄EVERYREPORT⁴ ₁₂– ² ₈ .⁵ ₆– ¹ ₃HEHIS⁴ ₅ – ³ ₆ ¹⁴ ₁₅ – ⁴ ₅ ⁴ ₆ – ¹ ₄ ⁵ ₁₂¹ ₃₆³ ₁₀¹ ₃² ₁₅¹ ₈¹ ₁₂⁴ ₉⁵ ₂₄¹¹ ₂₄¹ ₄¹ ₁₀⁴ ₁₅⁷ ₉ – ² ₆ HIS7/18¹ ₆18Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources¹ ₂.
Addition and Subtraction (unlike denominators)Name DateHumpty Dumpty RiddleWhy did Humpty Dumpty have a great fall?Solve all of the problems, remembering to express all answers in theirlowest terms. Locate your answers in the boxes below. Write the letter fromeach problem in the code box with the matching answer. If the answer appearsin more than one code box, fill in each one with the same letter.G4⁵ ₁₂ – 2¹ ₆ 2 ¹ ₄A3 ⁴ ₅ 4¹ ₂ P1¹ ₃ 3 ⁴ ₉ F8 ⁵ ₆– 4 ¹ ₄I2 ¹ ₄ 3 ¹ ₂N6³ ₄– 1¹ ₃U3 ⁵ ₆ 2¹ ₅ E3 ⁶ ₉ – 2 ¹ ₆ K4³ ₅ 2² ₃ T4 ⁴ ₅.– 1¹ ₁₀R2 ³ ₈ 2¹ ₃M5 ⁷ ₁₂– 1² ₄.O7² ₃ 1³ ₄ L5⁸ ₉ – 4² ₃ B3 ¹ ₄ 3 ¹ ₆ 3 ⁷ ₁₀9 ⁵ ₁₂4 ⁷ ₁₂9 ⁵ ₁₂6 ⁵ ₁₂9 ⁵ ₁₂4 ¹ ₁₂4 ¹⁷ ₂₄4 ¹⁷ ₂₄8 ³ ₁₀7 ⁴ ₁₅1 ¹ ₂6 ¹ ₃₀4 ⁷ ₉8 ³ ₁₀5 ³ ₄5 ⁵ ₁₂G2 ¹ ₄.4 ⁷ ₁₂8 ³ ₁₀1 ² ₉1 ² ₉19Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Addition and Subtraction (unlike denominators)Name DateWhat’s His Reason?In this activity you will be renaming a mixed number in order to create an improper fraction.Your purpose is to find the missing numerator or denominator. When you solve the problem,locate the answer in the code below. Write the letter from the problem above the answer inthe code. If the answer appears in more than one box, fill in each one with the same letter.Why did the preschooler take his toy car to school?7 !) 6 )AA 5 -., 4 ! R 6 !@ 5 @SS 11 * 10 *4 &) 3 HPP 7 &@ 6 @B 154 - ) 3 -)3 (* 2 *VV 8 ) 7 )EE B9 - - 8 --2 @ 1 @1917104211211127214DCHIOR 4 !/ 3 /O D 8 -9, 7 -, T C 9 -F/ 8 -/ U H 5 (" 4 "I 7 -9' 6 -' L TUYY LW6 - ) 5 -) W �6141965981710.20Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources12
Addition and Subtraction (unlike denominators)Name DateLet’s Fly SouthBe especially careful with the problems in this activity. In more than half of them, you willneed to rename the mixed number as an improper fraction before you can subtract.When you solve the problems and express the answers in the lowest terms, locate youranswers in the code boxes below. Write the letter from each problem in the code box withthe matching answer. If the answer appears in more than one code box, fill in each one with the same letter.Why do birds fly south for the winter?U5¹ ₆ – 2⁵ ₆ E8 ³ ₈– 4 ⁷ ₈O2 ¹ ₃GC7¹⁰ ₁₂ – 3⁷ ₁₂ NM14² ₇.– 8 ⁸ ₁₄IT5¹ ₃ – 1³ ₄ A3 ¹ ₆4 ¹ ₄12² ₉ – 7² ₃ H17 ³ ₄.–9 ³ ₁₂U3 ⁷ ₁₂2 ¹ ₃7¹ ₄ – 3 ³ ₅ D3 ⁷ ₁₂1 ¹ ₄3 ¹ ₂5 ⁵ ₇5 ⁵ ₇2 ⁹ ₁₄4 ¹ ₄3 ¹³ ₂₀4 ⁵ ₉3 ⁷ ₁₂U2 ¹ ₃4 ¹ ₄10² ₈ – 7³ ₄ 12 ² ₇.– 9 ⁹ ₁₄L11² ₅ – 3⁷ ₁₀ 2 ⁹ ₁₄5⁵ ₆– 2² ₃W9 ¹ ₅– 2 ³ ₅6 ³ ₅3 ⁷ ₈ – 2 ⁵ ₈ K2 ¹ ₂8 ¹ ₂3 ⁷ ₁₂1 ¹ ₄3 ¹ ₆7 ⁷ ₁₀7¹ ₃ – 2² ₃ 7 ⁷ ₁₀4 ² ₃3 ¹ ₂3 ⁷ ₁₂4 ¹ ₄4 ¹ ₄2 ⁹ ₁₄4 ² ₃.21Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Multiplication and DivisionName Date39 ErrorsThe multiplication grid contains 39 errors. Check all of the answers carefully.When you find a mistake, correct it, and shade in the box. When you havefinished shading in the boxes with errors, you will reveal an answer tothe following riddle.What did the poodle say when it saton some sandpaper?X¹ ₂4¹ ₉¹ ₅¹ ₇83¹ ₆¹ ₃95¹ ₄2¹ ₁₀¹ ₄¹ ₈⁴ ₄¹ ₃₆¹ ₂₀¹ ₂₈⁸ ₄³ ₄¹ ₂₄¹ ₁₆⁴ ₅⁴ ₅¹ ₁₆² ₄¹ ₄₀¹ ₃¹ ₆⁴ ₃¹ ₂₇¹ ₁₅³ ₇⁸ ₃¹ ₉¹ ₁₈¹ ₁₂⁹ ₃⁵ ₃¹ ₁₂² ₃¹ ₃₀¹ ₁₅⁸ ₄¹ ₆₄¹ ₄₀⁸ ₇⁸ ₈¹ ₂₄¹ ₄₈¹ ₂₁⁸ ₉⁵ ₈⁴ ₈⁸ ₂¹⁰ ₈1⁴ ₂² ₉¹ ₁₀² ₇⁸ ₂¹ ₆¹ ₁₂¹ ₄⁹ ₂⁵ ₂² ₄² ₂¹ ₂₀¹ ₈⁶ ₄¹ ₄₈¹ ₃₀¹ ₃₆⁸ ₆¹ ₁₈¹ ₃₆¹ ₉⁹ ₆⁵ ₆⁴ ₆⁶ ₂¹ ₆₀¹ ₇⁵ ₄¹ ₄₅¹ ₂₅¹ ₃₀⁵ ₈¹ ₁₅¹ ₃₀¹ ₁₅⁹ ₅⁵ ₅⁴ ₅² ₅¹ ₅₀² ₇28⁹ ₇⁷ ₅⁷ ₇5621⁷ ₆⁷ ₃6335⁴ ₇14⁷ ₁₀¹ ₈¹ ₂¹ ₆¹ ₅7¹ ₁₂22Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Multiplication and DivisionName DateCross Them OutSolve all of the problems below, remembering to express all answers in the lowest terms.Locate and cross out each of the correct answers in the grid. (Answers run horizontally, left toright.) When you have finished, 27 boxes will remain. Write the remaining letters in order from leftto right and top to bottom to reveal the answer to the following riddle.What happens to a rabbit when it gets very angry?3 ¹ ₄ x 2 ² ₅ 7 ⁴ ₅1 ⁶ ₈ x 3 ¹ ₅ 3 ¹ ₆ x 2 ² ₅ 4 ¹ ₃ x 1 ¹ ₈ 4 ¹ ₂ x 2 ² ₃ 6 ² ₃ x 4 ¹ ₄ 4 ² ₃ x 3 ³ ₇ 5 ¹ ₄ x 2 ³ ₇ 3 ¹ ₃ x 2 ¹ ₅ 4 ¹ ₅ x 2 ¹ ₃ 3 ³ ₄ x 2 ⁴ ₅ 5 x 2 ¹ ₂ 8 x 6 ¹ ₂ 4 ¹ ₅ x 1 ⁴ ₇ 6 ² ₃ x 1 ³ ₅ 2 ² ₄ x 1 ² ₄ TAKHUNDE17³ ₅210² ₃2RTHBIDUN12³ ₄27¹ ₃44NTOYREHE15³ ₅22¹ ₄6³ ₅THERREAL28¹ ₃10¹ ₂4¹ ₃LBOYTRGE27⁴ ₅19⁴ ₅7¹ ₆TSPKHBRO9¹ ₄12⁸ ₉16² ₄PROPIBAR14⁷ ₈8³ ₄12¹ ₂NMGLADEN2⁵ ₈3³ ₄3⁵ ₇52’23Math Practice Puzzles: Fractions and Decimals Bob Olenych, Scholastic Teaching Resources
Multiplication and DivisionName DateGone FishingWhy couldn’t Batman go bass fishing?Solve all of the problems, expressing answers in simplest terms. Locate your answersin the code boxes. Write the letter from each problem in the code box with thematching answer. If the answer appears in more than one code box, fill in each onewith the same letter.E ⁶ ₈ ³ ₆ D ¹ ₂ ³ ₄ B ³ ₄ ⁹ ₁₂ S 4 ⁸ ₁₀ F ² ₃ ⁴ ₁₂ O 7 ¹⁴ ₁₅ N ⁴ ₅ ² ₃ H ⁵ ₆ ⁷ ₁₂ I ⁴ ₆ ² ₅ T ¹ ₄ ⁸ ₁₂ M 5 ¹ ₃ A ³ ₈ ⁶ ₂ W ⁷ ₈ ³ ₁₂ R ³ ₅ ³ ₉ L ⁵ ₉ ³ ₁₈ 1 ³ ₇1 ² ₃521 ⁴ ₅1 ² ₃¹ ₈³ ₈1 ¹ ₂3 ¹ ₂7 ¹ ₂1 ⁴ ₅1 ¹ ₂153 ¹ ₃1 ² ₃1 ¹ ₅² ₃¹ ₈3 ¹ ₃5³ ₈3 ¹ ₃³ ₈3 ¹ ₃1 ¹ ₂1 ⁴ ₅7 ¹ ₂11 ² ₃³ ₈1 ³ ₇1 ¹ ₂1 ¹ ₅.24Math Practice Puzzles:
Humpty Dumpty Riddle 19 What’s His Reason? 20 Let’s Fly South 21 Multiplication and Division 39 Errors 22 Cross Them Out 23 Gone Fishing 24 Tic-Tac-Toe #1 25 DECIMALS . Most of the puzzles in this
