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Provides step-by-step math review on whole numbers (addition, subtraction, division concepts), fractions (proper vs. improper, numerators/denominators, mixed numbers, reducing to lowest terms, converting mixed numbers to improper fractions), and introduces decimal fractions with reading conventions and core rules for decimal operations including alignment of decimal points.",{"@graph":69,"@context":126},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/joint-apprenticeshiptrainingcommittee-of-pipe-fitters-local-union-211-study-guide-introduction-to-whole-numbers-and-fractions/462861/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/joint-apprenticeshiptrainingcommittee-of-pipe-fitters-local-union-211-study-guide-introduction-to-whole-numbers-and-fractions/462861.png","ImageObject",300,407,{"name":92,"@type":93},"dabgoudw","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"What are the testing appointment and test room rules in the study guide?","Question",{"text":112,"@type":113},"Bring the required documents before scheduling an appointment to take the test. 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Thedenominator indicates the number of timesthe whole number has been divided.Thenumerator indicates the number of partsunder discussion.  \n1/6,  \n1/3,  \n3/16  \n3/8,  \nThese are all Proper Fractions because they all are less than 1.(Thenumerator is smaller than the denominator.)  \nIAPROPER FRACTIONS:  \nEXAMPLE:  \nMIXED NUMBER:  \nREDUCING TO THE LOWEST TERMS:  \nEXAHPLE:  \nTHUS:  \nOR:  \nINTRODUCT1GH TO FRACTICNSSTUDY SHEET  \nA fraction that is equal to one or more thanone is called an improper fraction.  \n16/7  \n25/8  \n3/2  \n6/6  \n4/3  \nThese are all equal to one or more than one.  \nA number made up of a whole number and afraction is called a mixed number.  \n91/3 These all27/813/4represent a whole number plus part ofanother number.  \nA fraction is usually expressed in itslowest term.Mhenever the numerator anddemoninator can be divided evenly by thesame number the fraction can be reduced.  \n5/10 both_of these numbers may bedivided by 5  \nCHANGING MIXED NUMBERS TO IMPROPER FRACTIONS:  \nEXAYPLE:  \nEXAMPLE PROBLEM:  \nSOLUTION:  \nINTRODUCTYON TO FRACTIONSSTUDY SHEET  \nMultiplication and division are required tochange a mixed number into an improperfraction.  \n3 steps are required.  \nChange 23/8 to an improper fraction.  \nStep 1.Multiply the denominator of thefraction by the whole number2×8=16  \nStep 2.Add the numerator to the productof Step 1.3+76=19  \nStep 3.Place the sum in Step 2 over thedenominator 19/8  \nChange 53/4 to an improper fraction。  \n5 x 4=20  \n3/8  \nAns.  \n(circle is dividedinto 8 parts --3are shaded)  \n2/4=  \n7/3=21/3  \nPROBLEMS:Mhat fractional part of these figures is shaded.  \nAns.          \nReduce the following fractions to their lowest teras.  \n6/8=  \nChange the following to improper fractions.  \n21/2=5/263/8=53/4=(2×2 =4+1=5)  \nChange the following improper fractions to mixed numbers.  \n23/4=  \n## INTRODUCTION TO FRACTICHSEXAMPLE PROBLEMS\n\nAns.     \n·16/5=  \nAns.          \n14/16=  \nSTUDY SHEETSTUDY SHEET  \n## I.   DECIMAL FRACTIONS\n\nA.Mhen a fraction has a denominator of 10 or the denominator is amultiple of 10,such as 100,1,000,10,000 etc.,it is read the sameas a fraction but is written as a decimal.  This decimal number iscalled a DECIMAL FRACTION.  \nEXAMPLE:  3/10 is read three tenths but is written .37/100 is read seven hundreths but is written .079/1,000 is read nine thousandths but is written .009268/10,000 is read two hundred sixty-eight ten thousandths butis written .0268  \nB.Mhen a Decimal Fraction contains a whole number it is called a\"Mixed Decimal\".  A mixed decimal is also re","cbCaiqcmDLzazkF1","https://ap.wps.com/l/cbCaiqcmDLzazkF1","pdf",773803,18,"English","# Introduction to Whole Numbers Study Sheet\n## Addition\n## Subtraction\n# Fraction:\n## Proper Fractions vs Improper Fractions\n## Mixed Numbers\n## Reducing to the Lowest Terms\n## Converting Mixed Numbers to Improper Fractions\n# Introduction to Fraction Study Sheet (Examples/Problems)\n# I. Decimal Fractions\n## Reading decimal fractions\n## Mixed decimals\n# II. Addition & Subtraction of Decimals\n# III. Multiplication of Decimals","[{\"question\":\"What are the testing appointment and test room rules in the study guide?\",\"answer\":\"Bring the required documents before scheduling an appointment to take the test. You have one hour, calculators and cellphones are not allowed, and the test can be taken up to three times.\"},{\"question\":\"How do the guide define numerators and denominators for fractions?\",\"answer\":\"The numerator is the top number and indicates how many parts are being discussed. The denominator is the bottom number and indicates how many equal parts the whole was divided into.\"},{\"question\":\"What is the difference between proper fractions and improper fractions?\",\"answer\":\"A proper fraction is less than 1, meaning the numerator is smaller than the denominator. An improper fraction is equal to or greater than 1.\"},{\"question\":\"How are mixed numbers converted to improper fractions according to the guide?\",\"answer\":\"Multiply the denominator by the whole number, add the numerator to that product, and then place the resulting sum over the original denominator to form the improper fraction.\"}]","JOINT APPRENTICESHIP&TRAININGCOMMITTEE OF PIPE FITTERS LOCAL UNION 211 - Study Guide - Introduction to Whole Numbers and Fractions | PDF",45]