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Fractions VI
Simplifying Fractions
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Factor
• A number that divides
evenly into another.
Factors of 24 are 1,2, 3, 4, 6,
8, 12 and 24.

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What are the factors of 9?

Factors of 9 are 1, 3 and 9.
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What are the factors of 10?

Factors of 10 are 1, 5 and 10.
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What are the factors of 7?

Factors of 7 are 1 and 7.
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What are the factors of 56?
Factors of 56 are 1, 2, 4, 7, 8,
14, 28, and 56.

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Common Factor
When two numbers have the
same factor it is called a common
factor.
 A common factor of 12 and 6
is 3.

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Name a Common Factor of 9
and 27?
1, 3, 9
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Name a Common Factor of 4
and 8?
1, 2, 4
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Name a Common Factor of 4
and 8?
1, 2, 4
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Name a Common Factor of
15 and 30?
1, 3, 5, 15
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Name a Common Factor of
12 and 48?
1, 2, 3, 4, 6, 12
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Name a Common Factor of
9 and 21?
1, 3, 9,
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Name a Common Factor of
10 and 25?
1, 5, 10
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Name a Common Factor of
3 and 4?
1
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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
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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
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What is the Greatest Common Factor?
8 = 1, 2, 4, 8
12 = 1, 2, 3, 4, 6, 12
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What is the Greatest Common Factor?
8 = 1, 2, 4, 8
14 = 1, 2, 7,14
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What is the Greatest Common Factor?
6 = 1, 2, 3, 6
18 = 1, 2, 3, 6, 9, 15
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What is the Greatest Common Factor?
6 = 1, 2, 3, 6
12 = 1, 2, 3, 4, 6, 12
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What is the Greatest Common Factor?
8 = 1, 2, 4, 8
16 = 1, 2, 4, 8, 16
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What is the Greatest Common Factor?
8 = 1, 2, 4, 8
10 = 1, 2, 5, 10
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What is the Greatest Common Factor?
3 = 1, 3
6 = 1, 2, 3, 6
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What is the Greatest Common Factor?
4 = 1, 2, 4
6 = 1, 2, 3, 6
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What is the Greatest Common Factor?
7 = 1, 7,
21 = 1, 3, 7, 21
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What is the Greatest Common Factor?
15 = 1, 3, 5, 15
24 = 1, 2, 3, 8, 12, 24
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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
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Simplify or Reduce This
Fraction
12
6
2
÷ =
18
6
3
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Simplify or Reduce This
Fraction
9
3
3
÷ =
21 3
7
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Simplify or Reduce This
Fraction
12
4
3
÷ =
20 4
5
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Simplify or Reduce This
Fraction
10
5
2
÷ =
15
5
3
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Simplify or Reduce This
Fraction
10
2
5
÷ =
16
2
8
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Simplify or Reduce This
Fraction
12
4
3
÷ =
16
4
4
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Simplify or Reduce This
Fraction
3
3
1
÷ =
12
3
4
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Simplify or Reduce This
Fraction
2
2
1
÷ =
8
2
4
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Simplify or Reduce This
Fraction
2
2
1
÷ =
4
2
2
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Simplify or Reduce This
Fraction
6
3
2
÷ =
9
3
3
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Simplify or Reduce This
Fraction
6
2
3
÷ =
8
2
4
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Thanks
Submitted by
Anish
DAV Public School
Noida
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If you also want to share your own or your kid’s
presentation(ppt) please send it on
info@makemegenius.com
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“Don’t make me read, make me understand “
www.makemegenius.com– Full of ingredients to make your child a genius.
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