JOINT APPRENTICESHIP&TRAININGCOMMITTEE OF PIPE FITTERS LOCAL UNION 211 - Study Guide - Introduction to Whole Numbers and Fractions

Sep 30, 2026

Uploaded by dabgoudw

Study guide for a testing appointment process for the Joint Apprenticeship & Training Committee of Pipe Fitters Local Union 211, including requirements and test-taking rules such as duration, allowed materials, and retry limits. 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.

LanguageEnglish

CategoryExam

FormatPDF

Pages18

Reading Time45 min

AccessFree to download

Introduction to Whole Numbers Study Sheet

Addition

Subtraction

Fraction:

Proper Fractions vs Improper Fractions

Mixed Numbers

Reducing to the Lowest Terms

Converting Mixed Numbers to Improper Fractions

Introduction to Fraction Study Sheet (Examples/Problems)

I. Decimal Fractions

Reading decimal fractions

Mixed decimals

II. Addition & Subtraction of Decimals

III. Multiplication of Decimals

# JOINT APPRENTICESHIP&TRAININGCOMMITTEE OF PIPE FITTERS LOCAL UNION 211 STUDY GUIDE PLEASE MAKE SURE YOU HAVE ALL REQUIREDDOCUMENTS BEFORE CALLING TO SCHEDULE ANAPPOINTMENT FOR TESTING.(713-649-0201) YOU HAVE ONE HOUR TO TEST.NO CALCULATORS OR CELLPHONES ARE ALLOWED IN THE TEST ROOM. THE TEST CAN BE TAKEN UP TO3 TIMES. AN OSHA 10 IS REQUIRED-YOU WILL BE PROVIDEDWITH THE INFORMATION TO AQUIRE AN OSHA 10,AFTER YOU PASS THE TEST. INTRODUCTION TO WHOLE NUMBERS STUDY SHEET The process of finding the total or sum of 2 or more numbers. +or plus or add. ADDITION: SIGN: EXAMPLE: PROBLEM: ## INTRODUCTION TO whOLE NUMBERSSTUDY SHEET SUBTRACTION:The process of finding the difference between 2numbers.SIGN:-or minus or subtractEXAMPLE:TO CHECK ANSMER:PROBLEM:286287,315-37-6,429 ## INTRODUCTION T0 MHOLE NUMBERSSTUDY SHEET The process of finding how many times onenumber is contained within another. DIVISION: SIGN: EXAMPLE: WRITTEN EXAMPLE: PROBLEM:25 divided by five 42 81 ### FRACTION: EXAMPLE: NUMERATORS AND DENOMINATORS: EXAMPLE: INTRODUCT10H 70 FRACTIONSSTUDYSHEET This term is used mathematically to indicatethat a number is less than a whole、 A half dollar is a part of one wholedollar.One half is written喜，meaning thewhole(1)has been divided into 2 equalparts.Thus ÷. Two numbers must be used to state a fraction.The upper is called the numerator and thelower is called the denominator. Thedenominator indicates the number of timesthe whole number has been divided.Thenumerator indicates the number of partsunder discussion. 1/6, 1/3, 3/16 3/8, These are all Proper Fractions because they all are less than 1.(Thenumerator is smaller than the denominator.) IAPROPER FRACTIONS: EXAMPLE: MIXED NUMBER: REDUCING TO THE LOWEST TERMS: EXAHPLE: THUS: OR: INTRODUCT1GH TO FRACTICNSSTUDY SHEET A fraction that is equal to one or more thanone is called an improper fraction. 16/7 25/8 3/2 6/6 4/3 These are all equal to one or more than one. A number made up of a whole number and afraction is called a mixed number. 91/3 These all27/813/4represent a whole number plus part ofanother number. A fraction is usually expressed in itslowest term.Mhenever the numerator anddemoninator can be divided evenly by thesame number the fraction can be reduced. 5/10 both_of these numbers may bedivided by 5 CHANGING MIXED NUMBERS TO IMPROPER FRACTIONS: EXAYPLE: EXAMPLE PROBLEM: SOLUTION: INTRODUCTYON TO FRACTIONSSTUDY SHEET Multiplication and division are required tochange a mixed number into an improperfraction. 3 steps are required. Change 23/8 to an improper fraction. Step 1.Multiply the denominator of thefraction by the whole number2×8=16 Step 2.Add the numerator to the productof Step 1.3+76=19 Step 3.Place the sum in Step 2 over thedenominator 19/8 Change 53/4 to an improper fraction。 5 x 4=20 3/8 Ans. (circle is dividedinto 8 parts --3are shaded) 2/4= 7/3=21/3 PROBLEMS:Mhat fractional part of these figures is shaded. Ans. Reduce the following fractions to their lowest teras. 6/8= Change the following to improper fractions. 21/2=5/263/8=53/4=(2×2 =4+1=5) Change the following improper fractions to mixed numbers. 23/4= ## INTRODUCTION TO FRACTICHSEXAMPLE PROBLEMS Ans. ·16/5= Ans. 14/16= STUDY SHEETSTUDY SHEET ## I. DECIMAL FRACTIONS A.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. EXAMPLE: 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 B.Mhen a Decimal Fraction contains a whole number it is called a"Mixed Decimal". A mixed decimal is also re

FAQs

What are the testing appointment and test room rules in the study guide?

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.

How do the guide define numerators and denominators for fractions?

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.

What is the difference between proper fractions and improper fractions?

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.

How are mixed numbers converted to improper fractions according to the guide?

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.

Sep 30, 2026

Uploaded by dabgoudw