Adding fractions with the same and different denominator.

1. ADDITION OF
FRACTION

2. ADDITION OF
FRACTIONS WITH
SAME
DENOMINATORS

3. STEPS
Write denominator
Add numerators
Simplify
1
2
3

4. 1
4
1
4
1
4
+
1
4
=
1 + 1
4
=
2
4
=
2 ÷ 2
4 ÷ 2
EXAMPLE
𝟏
𝟒
+
𝟏
𝟒
=
𝟏)
=
1
2
Add numerators
Write denominator
Simplify
1
2

5. 1
6
1
6
4
6
+
1
6
=
4 + 1
6
=
5
6
EXAMPLE
𝟒
𝟔
+
𝟏
𝟔
=
2)
1
6
1
6
1
6
Add numerators
Write denominator

6. 1
5
1
5
1
5
+
3
5
=
1 + 3
5
=
4
5
EXAMPLE
𝟏
𝟓
+
𝟑
𝟓
=
3)
1
5
1
5
Add numerators
Write denominator

7. 1
7
1
7
1
7
+
4
7
=
1 + 4
7
=
5
7
EXAMPLE
𝟏
𝟕
+
𝟒
𝟕
=
4)
1
7
1
7
1
7
Add numerators
Write denominator

8. ADDITION OF
FRACTIONS WITH
DIFFERENT
DENOMINATORS

9. STEPS
Make denominators same
Write denominator
Add numerators
Simplify
1
2
3
4

10. WHY?

11. 𝟏
𝟐
+
𝟑
𝟖
=
𝟏
𝟐
𝟏
𝟐
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟏
𝟖
𝟕
𝟖
1
4
1
4

12. STEPS
Make denominators same
Write denominator
Add numerators
Simplify
1
2
3
4

13. EXAMPLES

14. 1
2
1
2
+
1
4
=
1
2
=
2
4
+
1
4
=
2 + 1
4
𝟏
𝟐
+
𝟏
𝟒
=
𝟏)
=
3
4
1
4
1
4
1
4
1
4
1
4
× 2
× 2
Make denominators
same
+
1
4
Write denominators
Add numerators

15. =
3 + 2
6
1
2
+
2
6
=
1
2
=
3
6
+
2
6
𝟏
𝟐
+
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

16. =
5 + 3
10
1
2
+
3
10
=
1
2
=
5
10
+
3
10
𝟏
𝟐
+
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

17. =
2 + 2
6
1
3
+
2
6
=
1
3
=
2
6
+
2
6
𝟏
𝟑
+
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

18. =
6 + 2
9
2
3
+
2
9
=
2
3
=
6
9
+
2
9
𝟐
𝟑
+
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

19. =
6 + 2
10
3
5
+
2
10
=
3
5
=
6
10
+
2
10
𝟑
𝟓
+
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

20. 1
4
+
1
8
=
1
4
=
2
8
+
1
8
=
2 + 1
8
𝟏
𝟒
+
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

21. QUIZ TIME
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