4 6 Simplifying Fractions Objective Simplify fractions using

4 -6 Simplifying Fractions Objective: Simplify fractions using the greatest common factor.

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 11

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 106

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 3. 15, 18, 30

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 3. 15, 18, 30 3

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 3. 15, 18, 30 4. 12 ab 3, 16 a 4 b 2

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 3. 15, 18, 30 4. 12 ab 3, 16 a 4 b 2 4 ab 2

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 3. 15, 18, 30 4. 12 ab 3, 16 a 4 b 2 5. 15 mnp, 45 mp 3, 90 m 3 n 4

5 -Minute Check Find the GCF of each set of numbers or monomials. 1. 22, 55 2. 106, 318 3. 15, 18, 30 4. 12 ab 3, 16 a 4 b 2 5. 15 mnp, 45 mp 3, 90 m 3 n 4 15 m

4 -6 Simplifying Fractions Example a. Write 63/105 in simplest form. 63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21. 105 7*5*3

4 -6 Simplifying Fractions Example a. Write 63/105 in simplest form. 63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21. 105 7*5*3 Divide the numerator and the denominator by 21.

4 -6 Simplifying Fractions Example a. Write 63/105 in simplest form. 63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21. 105 7*5*3 Divide the numerator and the denominator by 21. Since the GCF of 3 and 5 is 1, the fraction is in simplest form.

4 -6 Simplifying Fractions Example 15 x 2 y 2 b. Simplify. Assume that x and y are not equal to zero. 35 xy 2

4 -6 Simplifying Fractions Example 15 x 2 y 2 b. Simplify. Assume that x and y are not equal to zero. 35 xy 2 15 x 2 y 2 35 xy 2 The GCF of 15 x 2 y 2 and 35 xy 2 is 5*x*y*y.

4 -6 Simplifying Fractions Example 15 x 2 y 2 b. Simplify. Assume that x and y are not equal to zero. 35 xy 2 15 x 2 y 2 35 xy 2 The GCF of 15 x 2 y 2 and 35 xy 2 is 5*x*y*y. Divide the numerator and denominator by 5 xy 2.

4 -6 Simplifying Fractions Example 15 x 2 y 2 b. Simplify. Assume that x and y are not equal to zero. 35 xy 2 15 x 2 y 2 35 xy 2 The GCF of 15 x 2 y 2 and 35 xy 2 is 5*x*y*y. Divide the numerator and denominator by 5 xy 2. Since the GCF of 3 x and 7 is 1, the fraction 3 x/7 is in simplest form.

4 -6 Simplifying Fractions I need two volunteers to rewrite the fraction below in simplest form. 24 60 40 100

4 -6 Simplifying Fractions I need two volunteers to rewrite the fraction below in simplest form. 24 60 40 100 Each individual now needs to find other fractions that when reduced equals 2/5.

4 -6 Simplifying Fractions Now find additional pairs of fractions that when reduced equal each other.

4 -6 Simplifying Fractions Assignment: 20 - 42 even, 44 - 54 all Starting on page 198.