Simplifying Fractions
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Transcript Simplifying Fractions
Fractions VI
Simplifying Fractions
Mr. Jerolaman
Factor
A number that divides
evenly into another.
Factors of 24 are 1,2, 3, 4, 6,
8, 12 and 24.
What are the factors of 9?
Factors of 9 are 1, 3 and 9.
What are the factors of 10?
Factors of 10 are 1, 5 and 10.
What are the factors of 7?
Factors of 7 are 1 and 7.
What are the factors of 56?
Factors of 56 are 1, 2, 4, 7, 8,
14, 28, and 56.
Common Factor
When two numbers have the
same factor it is called a common
factor.
A common factor of 12 and 6
is 3.
Name a Common Factor of
9 and 27?
1, 3, 9
Name a Common Factor of
4 and 8?
1, 2, 4
Name a Common Factor of
4 and 8?
1, 2, 4
Name a Common Factor of
15 and 30?
1, 3, 5, 15
Name a Common Factor of
12 and 48?
1, 2, 3, 4, 6, 12
Name a Common Factor of
9 and 21?
1, 3, 9,
Name a Common Factor of
10 and 25?
1, 5, 10
Name a Common Factor of
3 and 4?
1
Simplest Form
When the only common
factor of the numerator and
denominator is 1, the
fraction is in simplest form.
3
1
3
÷
=
4
1
4
Greatest Common Factor
The greatest common
factor is the largest factor
between two numbers.
12 = 1, 2, 3, 4, 6, 12
18 = 1, 2, 3, 6, 9, 18
What is the Greatest
Common Factor?
8 = 1, 2, 4, 8
12 = 1, 2, 3, 4, 6, 12
What is the Greatest
Common Factor?
8 = 1, 2, 4, 8
14 = 1, 2, 7,14
What is the Greatest
Common Factor?
6 = 1, 2, 3, 6
18 = 1, 2, 3, 6, 9, 15
What is the Greatest
Common Factor?
6 = 1, 2, 3, 6
12 = 1, 2, 3, 4, 6, 12
What is the Greatest
Common Factor?
8 = 1, 2, 4, 8
16 = 1, 2, 4, 8, 16
What is the Greatest
Common Factor?
8 = 1, 2, 4, 8
10 = 1, 2, 5, 10
What is the Greatest
Common Factor?
3 = 1, 3
6 = 1, 2, 3, 6
What is the Greatest
Common Factor?
4 = 1, 2, 4
6 = 1, 2, 3, 6
What is the Greatest
Common Factor?
7 = 1, 7,
21 = 1, 3, 7, 21
What is the Greatest
Common Factor?
15 = 1, 3, 5, 15
24 = 1, 2, 3, 8, 12, 24
How to Find the Simplest Form
of a Fraction
Find the greatest common
factor of the numerator and the
denominator and divide both
the numerator and the
denominator by that number.
12
6
2
÷
=
18
6
3
Simplify or Reduce This
Fraction
12
6
2
÷ =
18
6
3
Simplify or Reduce This
Fraction
9
3
3
÷ =
21 3
7
Simplify or Reduce This
Fraction
12
4
3
÷ =
20 4
5
Simplify or Reduce This
Fraction
10
5
2
÷ =
15
5
3
Simplify or Reduce This
Fraction
10
2
5
÷ =
16
2
8
Simplify or Reduce This
Fraction
12
4
3
÷ =
16
4
4
Simplify or Reduce This
Fraction
3
3
1
÷ =
12
3
4
Simplify or Reduce This
Fraction
2
2
1
÷ =
8
2
4
Simplify or Reduce This
Fraction
2
2
1
÷ =
4
2
2
Simplify or Reduce This
Fraction
6
3
2
÷ =
9
3
3
Simplify or Reduce This
Fraction
6
2
3
÷ =
8
2
4