Fraction Competency Packet - Glossary and Exercises - Revised 2004

Sep 14, 2026

Uploaded by Rizky

Fraction Competency Packet provides a structured learning path for mastering core fraction skills, from essential vocabulary (numerator, denominator, equivalent and improper fractions) to procedures for converting between mixed and improper forms, boosting with larger denominators, and finding least common denominators. It guides students through adding, subtracting (including borrowing), multiplying, and dividing fractions, then applying these operations to word problems. Practice exercises are organized by topic, with answer key support at the end.

LanguageEnglish

CategoryExam

FormatPDF

Pages21

Reading Time53 min

AccessFree to download

Glossary

General Fraction Information

Mixed Numbers

Equivalent Fractions with Larger Denominators

Equivalent Fractions with Smaller Denominators

Improper Fractions

Least Common Multiple (Least Common Denominator)

Addition and Subtraction of Fractions

Subtraction with Borrowing

Multiplication of Fractions

Division of Fractions

Some Fraction Word Problems

Answers to Exercises

| Fraction Competency Packet | | | --- | --- | Developed by: Nancy Tufo Revised 2004: Sharyn Sweeney Student Support Center North Shore Community College To use this booklet, review the glossary, study the examples, then work through the exercises. The answers are at the end of the booklet. When you find an unfamiliar word, check the glossary fora definition or explanation. Calculators are not allowed when taking the Computerized Placement Test (CPT), nor in Fundamentals of Mathematics, PreAlgebra, and Elementary Algebra; therefore, do not rely on a calculator when working the problems in this booklet. If you have difficulty understanding any of the concepts, come to one of the Tutoring Centers located on the Lynn, Danvers Main and Danvers Hathorne Campuses. Hours are available at (978) 762-4000 x 5410. Additional Tutoring Center information can be found on the NSCC website at [www.northshore.edu/services/tutoring. The](www.northshore.edu/services/tutoring. The) Centers are closed when school is not in session, and Summer hours are limited. Table of Contents Glossary 4 General Fraction Information 5 Mixed Numbers 6 Equivalent Fractions with Larger Denominators 7 Equivalent Fractions with Smaller Denominators 8 Improper Fractions 9 Least Common Multiple (Least Common Denominator) 10 Addition and Subtraction of Fractions with Same Denominator 12 Addition and Subtraction of Fractions with Different 13 Denominators Subtraction with Borrowing 14 Multiplication of Fractions 16 Division of Fractions 17 Some Fraction Word Problems 18 Answers to Exercises 20 Glossary Boosting: Rewriting a fraction as an equivalent fraction with a higher denominator. Denominator: Bottom number of a fraction indicating how many parts make a whole. Difference: The result when two numbers are subtracted. Divisor: The number after the division sign in a division problem, (i.e. 12⎟7); or the bottom number of a fraction,(i.e. 127 ); the number "outside" the division house (i.e. 7 12 ) . Equivalent Fraction: Fractions that are found by multiplying the numerators and denominators by the same number. Factor: Numbers equal to or less than a given number that divides the number evenly. For example, the factors of 12 are 1, 2, 3, 4, 6, 12. Fraction: Any number written in the form of one whole number over another, ⎜⎛3 ⎞⎟ , indicating ⎝ 5 ⎠ number ofparts being considered over the number ofparts that make one whole. Fraction Bar: The line separating the numerator and denominator in a fraction, and it indicates division. Greatest Common Factor (GCF): The largest matching factor of two or more given numbers. It is used to reduce fractions. Improper Fraction: Any fraction with the numerator larger than the denominator. Least Common Denominator (LCD): The smallest matching multiple of two or more given numbers. It is used to "boost" fractions. (Also called Least Common Multiple, LCM) Mixed Number: A whole number and a fraction. (It implies addition of wholes and parts; that is, 357 is read "three and five sevenths".) Multiple: (Similar to the "times table.") A multiple of a given number is equal to the given number or greater. Multiples are found by multiplying the given number in turn by 1, 2, 3,... For example, multiples of 4 are 4, 8, 12, 16,… Numerator: The top number of a fraction. It indicates how many parts of a certain size are represented. Prime Factor: Factors of a number that are only divisible by 1 and the given number. For example, prime factors of 12 are 1 x 2 x 2 x 3. Some frequently used Prime Numbers are 2, 3, 5, 7, 11, 13. Product: The result when two numbers are multiplied. Proper Fraction: Any fraction when the numerator is less than the denominator. Quotient: The solution to a division problem. Reducing: Dividing the numerator and the denominator by the same number to get an equivalent fraction. Final answers of most fraction problems should be expressed reduced to “

FAQs

What should students do before starting the exercises in the packet?

Review the glossary and study the examples, then work through the exercises in order. Check the glossary for any unfamiliar word.

Are calculators allowed while taking the Computerized Placement Test (CPT) or while doing these fraction problems?

No. Calculators are not allowed when taking the CPT or in Fundamentals of Mathematics, PreAlgebra, and Elementary Algebra, so the packet problems should be solved without relying on a calculator.

Where can answers to the fraction exercises be found?

Answers are located at the end of the booklet.

Sep 14, 2026

Uploaded by Rizky