Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors

Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
Number Theory: Simplifying Fractions - Greatest Common Factor and Prime Factors
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Product Description

The cover is fun and whimsical, but this packet is appropriate for students 6th grade through adult. Students will learn how to simplify fractions while understanding GCF, prime numbers, composite numbers, prime factor trees, and equivalent fractions. Examples and practice problems can be worked by the instructor and students during lecture or independently by students for review. The concepts presented include:

  • Finding Greatest Common Factor by listing all factors for a set of numbers and comparing

  • Using a Divisibility Rules Chart to determine factors

  • Practicing fraction multiplication, breaking fractions into factors, and dividing out common factors

  • Rewriting a fraction using GCF and remaining factors, then dividing out common factors

  • Writing Prime Factor Trees

  • Rewriting a fraction using Prime Factors, then dividing out common factors

  • Finding the GCF using common Prime Factors found in the numerator & the denominator.

  • Simplifying fractions using both Greatest Common Factor and Prime Factors.

  • Determining if two fractions are equivalent by simplifying both fractions and/or using cross product.

Solutions are provided in a duplicate of the problem packet with the answers filled in.

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*** Dawn Designs Fraction Products ***

~ L e a r n i n g

Number Theory: Simplifying Fractions – Greatest Common Factor and Prime Factors (This is the one you are viewing.)

Instructions, examples, and practice problems to cover the concepts of: GCF, divisibility rules, prime factor trees, dividing out common factors using GCF or prime factors, finding GCF using prime factors.

Fractions/Mixed Numbers: Simplify, Multiply, Divide, Add, Subtract

Instructions, examples, and practice problems for simplifying, multiplying, dividing, adding, and subtracting fractions and mixed numbers.

~ P r a c t i c e   a n d   R e v i e w

Fraction Review of Factors, Multiples, Prime Factors, GCF

Students often confuse Factors and Multiples, and Least Common Multiple with Greatest Common Factor. This worksheet packet was created to help them distinguish between and remember the terms!

Fractions/Mixed Numbers: Rules and Practice

Coordinated rules and practice for multiplying, dividing, adding, and subtracting fractions and mixed numbers.

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Licensing and Copyright

* Purchasing this product entitles you to one non-transferable, single-user license. At the time of purchase you will be able to purchase additional licenses (usually priced at a discount), so you can share this product with others, including instructors and colleagues.

* ©2013 Dawn Kermizian of Dawn Designs. All rights reserved. This product is also bound by copyright laws. Redistributing, editing, selling, or posting this item (or any part thereof) on the Internet is strictly prohibited without first gaining permission from the author, dawndesigns @ comcast.net. Posting to a personal or school website is allowed if the website is password protected and can only be accessed by current students.

Clip Art Credits for Cover

A Sketchy Guy

At the Core

Total Pages
24 pages
Answer Key
N/A
Teaching Duration
N/A
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