Addition of fractions
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21 slides
Aug 27, 2021
Slide 1 of 21
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About This Presentation
Adding fractions with the same and different denominator.
Slide Content
ADDITION OF
FRACTION
FRACTION
ADDITION OF
FRACTIONS WITH
SAME
DENOMINATORS
FRACTIONS WITH
SAME
DENOMINATORS
STEPS
Write denominator
Add numerators
Simplify
1
2
3
Write denominator
Add numerators
Simplify
1
2
3
1
4
1
4
1
4
+
1
4
=
1+1
4
=
2
4
=
2÷2
4÷2
EXAMPLE
�
�
+
�
�
=
�)
=
1
2
Add numerators
Write denominator
Simplify
1
2
4
1
4
1
4
+
1
4
=
1+1
4
=
2
4
=
2÷2
4÷2
EXAMPLE
�
�
+
�
�
=
�)
=
1
2
Add numerators
Write denominator
Simplify
1
2
1
6
1
6
4
6
+
1
6
=
4+1
6
=
5
6
EXAMPLE
�
�
+
�
�
=
2)
1
6
1
6
1
6
Add numerators
Write denominator
6
1
6
4
6
+
1
6
=
4+1
6
=
5
6
EXAMPLE
�
�
+
�
�
=
2)
1
6
1
6
1
6
Add numerators
Write denominator
1
5
1
5
1
5
+
3
5
=
1+3
5
=
4
5
EXAMPLE
�
�
+
�
�
=
3)
1
5
1
5
Add numerators
Write denominator
5
1
5
1
5
+
3
5
=
1+3
5
=
4
5
EXAMPLE
�
�
+
�
�
=
3)
1
5
1
5
Add numerators
Write denominator
1
7
1
7
1
7
+
4
7
=
1+4
7
=
5
7
EXAMPLE
�
�
+
�
�
=
4)
1
7
1
7
1
7
Add numerators
Write denominator
7
1
7
1
7
+
4
7
=
1+4
7
=
5
7
EXAMPLE
�
�
+
�
�
=
4)
1
7
1
7
1
7
Add numerators
Write denominator
ADDITION OF
FRACTIONS WITH
DIFFERENT
DENOMINATORS
FRACTIONS WITH
DIFFERENT
DENOMINATORS
STEPS
Make denominators same
Write denominator
Add numerators
Simplify
1
2
3
4
Make denominators same
Write denominator
Add numerators
Simplify
1
2
3
4
WHY?
�
�
+
�
�
=
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
1
4
1
4
�
+
�
�
=
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
�
1
4
1
4
STEPS
Make denominators same
Write denominator
Add numerators
Simplify
1
2
3
4
Make denominators same
Write denominator
Add numerators
Simplify
1
2
3
4
EXAMPLES
1
2
1
2
+
1
4
=
1
2
=
2
4
+
1
4
=
2+1
4
�
�
+
�
�
=
�)
=
3
4
1
4
1
4
1
4
1
4
1
4
×2
×2
Make denominators
same+
1
4
Write denominators
Add numerators
2
1
2
+
1
4
=
1
2
=
2
4
+
1
4
=
2+1
4
�
�
+
�
�
=
�)
=
3
4
1
4
1
4
1
4
1
4
1
4
×2
×2
Make denominators
same+
1
4
Write denominators
Add numerators
=
3+2
6
1
2
+
2
6
=
1
2
=
3
6
+
2
6
�
�
+
�
�
=
2)
=
5
6
×3
×3
Make denominators
same+
2
6
Write denominators
Add numerators
1
2
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
3+2
6
1
2
+
2
6
=
1
2
=
3
6
+
2
6
�
�
+
�
�
=
2)
=
5
6
×3
×3
Make denominators
same+
2
6
Write denominators
Add numerators
1
2
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
=
5+3
10
1
2
+
3
10
=
1
2
=
5
10
+
3
10
�
�
+
�
��
=
3)
=
8
10
×5
×5
Make denominators
same
+
3
10
Write denominators
Add numerators
1
2
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
=
8÷2
10÷2
Simplify
=
4
5
1
10
1
10
1
10
1
5
1
5
1
5
1
5
5+3
10
1
2
+
3
10
=
1
2
=
5
10
+
3
10
�
�
+
�
��
=
3)
=
8
10
×5
×5
Make denominators
same
+
3
10
Write denominators
Add numerators
1
2
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
=
8÷2
10÷2
Simplify
=
4
5
1
10
1
10
1
10
1
5
1
5
1
5
1
5
=
2+2
6
1
3
+
2
6
=
1
3
=
2
6
+
2
6
�
�
+
�
�
=
4)
=
4
6
×2
×2
Make denominators
same+
2
6
Write denominators
Add numerators
1
6
1
6
1
6
1
6
1
3
1
6
1
6
=
4÷2
6÷2
Simplify
=
2
3
1
3
1
3
1
3
2+2
6
1
3
+
2
6
=
1
3
=
2
6
+
2
6
�
�
+
�
�
=
4)
=
4
6
×2
×2
Make denominators
same+
2
6
Write denominators
Add numerators
1
6
1
6
1
6
1
6
1
3
1
6
1
6
=
4÷2
6÷2
Simplify
=
2
3
1
3
1
3
1
3
=
6+2
9
2
3
+
2
9
=
2
3
=
6
9
+
2
9
�
�
+
�
�
=
5)
=
8
9
×3
×3
Make denominators
same+
2
9
Write denominators
Add numerators
1
3
1
3
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
6+2
9
2
3
+
2
9
=
2
3
=
6
9
+
2
9
�
�
+
�
�
=
5)
=
8
9
×3
×3
Make denominators
same+
2
9
Write denominators
Add numerators
1
3
1
3
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
=
6+2
10
3
5
+
2
10
=
3
5
=
6
10
+
2
10
�
�
+
�
��
=
6)
=
8
10
×2
×2
Make denominators
same
+
2
10
Write denominators
Add numerators
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
=
8÷2
10÷2
Simplify
=
4
5
1
10
1
5
1
5
1
5
1
10
1
10
1
10
1
5
1
5
1
5
1
5
6+2
10
3
5
+
2
10
=
3
5
=
6
10
+
2
10
�
�
+
�
��
=
6)
=
8
10
×2
×2
Make denominators
same
+
2
10
Write denominators
Add numerators
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
=
8÷2
10÷2
Simplify
=
4
5
1
10
1
5
1
5
1
5
1
10
1
10
1
10
1
5
1
5
1
5
1
5
1
4
+
1
8
=
1
4
=
2
8
+
1
8
=
2+1
8
�
�
+
�
�
=
7)
=
3
8
×2
×2
Make denominators
same+
1
8
Write denominators
Add numerators
1
4
1
8
1
8
1
8
1
8
1
8
4
+
1
8
=
1
4
=
2
8
+
1
8
=
2+1
8
�
�
+
�
�
=
7)
=
3
8
×2
×2
Make denominators
same+
1
8
Write denominators
Add numerators
1
4
1
8
1
8
1
8
1
8
1
8
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