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. 12ab3, 16a4b2

5-Minute Check

Find the GCF of each set of numbers or monomials.1. 22, 55

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2 4ab2

5-Minute Check

Find the GCF of each set of numbers or monomials.1. 22, 55

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2

5. 15mnp, 45mp3, 90m3n4

5-Minute Check

Find the GCF of each set of numbers or monomials.1. 22, 55

2. 106, 318

3. 15, 18, 30

4. 12ab3, 16a4b2

5. 15mnp, 45mp3, 90m3n4 15m

4-6 Simplifying Fractions

Examplea. 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

Examplea. Write 63/105 in simplest form.

63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21.

105 7*5*3Divide the numerator and the denominator by 21.

4-6 Simplifying Fractions

Examplea. Write 63/105 in simplest form.

63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21.

105 7*5*3Divide 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

Exampleb. Simplify . Assume that x and y are not equal to

zero.

15x2y2

35xy2

4-6 Simplifying Fractions

Exampleb. Simplify . Assume that x and y are not equal to

zero.

15x2y2

35xy2

15x2y2

35xy2 The GCF of 15x2y2 and 35xy2 is 5*x*y*y.

4-6 Simplifying Fractions

Exampleb. Simplify . Assume that x and y are not equal to

zero.

15x2y2

35xy2

15x2y2

35xy2 The GCF of 15x2y2 and 35xy2 is 5*x*y*y.Divide the numerator and denominator by 5xy2.

4-6 Simplifying Fractions

Exampleb. Simplify . Assume that x and y are not equal to

zero.

15x2y2

35xy2

15x2y2

35xy2 The GCF of 15x2y2 and 35xy2 is 5*x*y*y.Divide the numerator and denominator by 5xy2.Since the GCF of 3x and 7 is 1, the fraction 3x/7 is in simplest form.

4-6 Simplifying Fractions

I need two volunteers to rewrite the fraction below in simplest form.

2460

40100

4-6 Simplifying Fractions

I need two volunteers to rewrite the fraction below in simplest form.

2460

40100

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.