Transcript 4-6 Simplifying Fractions

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
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
15x2y2
b. Simplify
. Assume that x and y are not equal to zero.
35xy2
4-6 Simplifying Fractions
Example
15x2y2
b. Simplify
. Assume that x and y are not equal to zero.
35xy2
15x2y2
35xy2
The GCF of 15x2y2 and
35xy2 is 5*x*y*y.
4-6 Simplifying Fractions
Example
15x2y2
b. Simplify
. Assume that x and y are not equal to zero.
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
Example
15x2y2
b. Simplify
. Assume that x and y are not equal to zero.
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.
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.