1. Decomposing Fractions
4th Grade

2. Decompose unit fractions into unit fractions
OBJECTIVE
Decompose unit fractions into unit fractions
Decompose fractions into multiple ways

3. Let’s Review
Are you ready?

4. FRACTIONS A fraction represents a part of the whole.
3 8
Numerator
Denominator
A fraction represents a part of the whole.

5. Before we start, let’s sing a song….
I hope you still remember!

7. Decomposing Fractions
It means to break fractions into parts.

8. What fraction is shown below?
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟔 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖 = + + + + +

9. 𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖
𝟏 𝟖 + + + + +
𝟔 𝟖
𝟒 𝟖
𝟐 𝟖 +
𝟑 𝟖
𝟑 𝟖 +
𝟓 𝟖
𝟏 𝟖 +

10. Example # 2:
𝟏 𝟕
𝟏 𝟕
1 7
1 7
1 7 + +
𝟑 𝟕
𝟏 𝟕
𝟏 𝟕
𝟏 𝟕
𝟏 𝟕
2 7
1 7 +
𝟏 𝟕

11. Example # 3:
1 10
1 10
1 10
1 10
1 10 + + + +
𝟓 𝟏𝟎
4 10 1 + 10 2
3 10 + 10 4
1 10 + 10

12. = + 5 6 1 6 2 6 3 6 4 6 5 6 6 6 Write 𝟓 𝟔 as a sum of two fractions.
Example # 4
Write 𝟓 𝟔 as a sum of two fractions.
5 6 = +
1 6
2 6
3 6
4 6
5 6
6 6

13. Example # 4
Write 𝟓 𝟔 as a sum of two fractions.
5 6
2 6
3 6 = +
1 6
2 6
3 6
4 6
5 6
6 6

14. Example # 4
Write 𝟓 𝟔 as a sum of two fractions.
5 6
4 6
1 6 = +
1 6
2 6
3 6
4 6
5 6
6 6

15. = + + 8 12 Write 𝟖 𝟏𝟐 as a sum of three fractions. 1 12 2 12 3 12 4 12
Example # 5
Write 𝟖 𝟏𝟐 as a sum of three fractions.
8 12 = + +
1 12
2 12
3 12
4 12
5 12
6 12
7 12
8 12
9 12
10 12
11 12
12 12

16. = + + 8 12 2 12 1 12 5 12 Write 𝟖 𝟏𝟐 as a sum of three fractions. 1 12
Example # 5
Write 𝟖 𝟏𝟐 as a sum of three fractions.
8 12
2 12
1 12
5 12 = + +
1 12
2 12
3 12
4 12
5 12
6 12
7 12
8 12
9 12
10 12
11 12
12 12

17. = + + 8 12 4 12 3 12 1 12 Write 𝟖 𝟏𝟐 as a sum of three fractions. 1 12
Example # 5
Write 𝟖 𝟏𝟐 as a sum of three fractions.
8 12
4 12
3 12
1 12 = + +
1 12
2 12
3 12
4 12
5 12
6 12
7 12
8 12
9 12
10 12
11 12
12 12

18. = + + 8 12 1 12 1 12 6 12 Write 𝟖 𝟏𝟐 as a sum of three fractions. 1 12
Example # 5
Write 𝟖 𝟏𝟐 as a sum of three fractions.
8 12
1 12
1 12
6 12 = + +
1 12
2 12
3 12
4 12
5 12
6 12
7 12
8 12
9 12
10 12
11 12
12 12

19. = + + 8 12 2 12 2 12 4 12 Write 𝟖 𝟏𝟐 as a sum of three fractions. 1 12
Example # 5
Write 𝟖 𝟏𝟐 as a sum of three fractions.
8 12
2 12
2 12
4 12 = + +
1 12
2 12
3 12
4 12
5 12
6 12
7 12
8 12
9 12
10 12
11 12
12 12

20. = + + 8 12 3 12 3 12 2 12 Write 𝟖 𝟏𝟐 as a sum of three fractions. 1 12
Example # 5
Write 𝟖 𝟏𝟐 as a sum of three fractions.
8 12
3 12
3 12
2 12 = + +
1 12
2 12
3 12
4 12
5 12
6 12
7 12
8 12
9 12
10 12
11 12
12 12

21. SEATWORK

22. When you are done, answer IXL P. 1, P. 2, P. 3, P.4

23. Thanks!