Simplifying Fractions.notebook February 28, 2013
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2 Fractions may have numerators and/or denominators that are composite numbers (numbers that have more factors than one and itself). When this is the case, fractions can be simplified to their lowest term. Circle the fractions that contain composite numbers 1_ 3 _ 7 2_ 12 _ 11_
3 There are two methods you can use to simplify a fraction. Method 1 1. Find a common factor (a number that will divide evenly into another number) of the numerator and denominator. 2. Divide both the numerator and denominator by the common factor. 3. Repeat the process until there are no more common factors. The fraction is simplified when no more common factors exist. 3
4 Simplify 8_ using the method described on screen Method 1 Example 1. Find a common factor of the numerator and denominator. 2 is a common factor of 8 and Divide both the numerator and denominator by the common factor. 8 4_ 8 16 = 8 _. 2 _. = Repeat the process until there are no more common factors. What is the simplified fraction? 4 is a common factor of 4 and = 1 _ 2 8 = 4 _.._.. 4 The simplified fraction is 1 _ 2 4
5 Simplify 12_ using the method described on screen Method 1 1. Find a common factor of the numerator and denominator. 2. Divide both the numerator and denominator by the common factor. 3. Repeat the process until there are no more common factors. What is the simplified fraction? 5
6 Simplify 9_ using the method described on screen Method 1 1. Find a common factor of the numerator and denominator. 2. Divide both the numerator and denominator by the common factor. 3. Repeat the process until there are no more common factors. What is the simplified fraction? 6
7 Simplify 14_ using the method described on screen Method 1 1. Find a common factor of the numerator and denominator. 2. Divide both the numerator and denominator by the common factor. 3. Repeat the process until there are no more common factors. What is the simplified fraction? 7
8 Method 2 1. Find the Greatest Common Factor of the numerator and denominator. 2. Divide the numerator and the denominator by the Greatest Common Factor. The result is the simplified fraction. 8
9 Simplify 6_ using the method described on screen Method 2 Example 1. Find the Greatest Common Factor of the numerator and denominator. 6_ Factors of 6: 1, 2, 3, 6 GCF is 3 15 Factors of 15: 1, 3, Divide the numerator and the denominator by the Greatest Common Factor. What is the simplified fraction? 6 _.. 15 = 6 _ = 3 _ 5 The simplified fraction is 3 _ 5 9
10 Simplify 10_ using the method described on page Method 2 1. Find the Greatest Common Factor of the numerator and denominator. 2. Divide the numerator and the denominator by the Greatest Common Factor. What is the simplified fraction? 10
11 Simplify 26_ using the method described on page Method 2 1. Find the Greatest Common Factor of the numerator and denominator. 2. Divide the numerator and the denominator by the Greatest Common Factor. What is the simplified fraction? 11
12 Simplify 14_ using the method described on page Method 2 1. Find the Greatest Common Factor of the numerator and denominator. 2. Divide the numerator and the denominator by the Greatest Common Factor. What is the simplified fraction? 12
13 Simplify the following fractions using either method described. 13_ 39 14_ 21 5_ 10 14_ 28 14_ 35 15_ 20 6_ 12 15_ _ 35 11_ _ _ _ 21 _
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