mixed to improper fractions

1. © T Madas

2. © T Madas
Proper Fractions:
Improper Fractions:
Mixed Fractions:
, , etc
1 3 4
2 8 7
, , etc
3 6 9
2 5 4
, , etc
1 2 3
1 4 2
2 5 4
Numerator smaller
than the Denominator
Numerator greater
than the Denominator
A whole number plus
a proper fraction
There are three types of fractional numbers

3. © T Madas
Every mixed fraction can be written
as an improper fraction (Top heavy)
Every improper fraction (Top heavy)
can be written as a mixed fraction
1
1
2
3
2
=
I am top heavy …

4. © T Madas
?
=
3
4 4
2
1
4
1
4
1
4
1
1
4
4´
= =
or
3
3
4
4
2 2
1 1
+ +
=
3
4
+ +
11
1
4
1
4
1
4
1
4
1
4
1
4
1
4
1
4
1
4
1
4
1
4
1
4

5. © T Madas
?
=
1
3 3
2
1
3
1
3
1
3
1
1
3
3´
= =
or
1
1
3
3
2 2
1 1
+ +
= 1
3
1
3
1
3
1
3
+
1
3
1
3
1
3
+ 1
3
7

6. © T Madas
?
=
4
5
1
5
1
5
1
5
1
5
1
1
5
5´
= =
or
4
4 1 5
5
1
1+
= 4
5
+
9
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5

7. © T Madas
?
=
2
7 7
2
1
7
1
7
1
7
1
1
7
7´
= =
or
2
2
7
7
2 2
1 1
+ +
= 2
7
+ +
16
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7
1
7

8. © T Madas
Converting Improper Fractions to Mixed Fractions
?
=
7
2
How many halves in a whole?
1
2
1
2
How many wholes can I make out of 7 halves?
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
3

9. © T Madas
Converting Improper Fractions to Mixed Fractions
?
=
7
2
Q: How many wholes can I make out of 7 halves?
A: 3 wholes, and 1 half left over
3
1
2
Easy…

10. © T Madas
?
=
8
3
Q: How many wholes can I make out of 8 thirds?
A: 2 wholes, and 2 thirds left over
2
2
3
?
=
9
5
Q: How many wholes can I make out of 9 fifths?
A: 1 whole, and 4 fifths left over
1
4
5

11. © T Madas
?
=
11
4
Q: How many wholes can I make out of 11 quarters?
A: 2 wholes, and 3 quarters left over
2
3
4
?
=
19
6
Q: How many wholes can I make out 19 sixths?
A: 3 wholes, and 1 sixth left over
3
1
6

12. © T Madas
1. 7. 13. 19. 25.
2. 8. 14. 20. 26.
3. 9. 15. 21. 27.
4. 10. 16. 22. 28.
5. 11. 17. 23. 29.
6. 12. 18. 24. 30.
1
1
2
1
2
2
1
1
4
1
2
4
1
2
3
1
1
5
7
2
7
4
5
3
9
4
7
5
8
3
1
6
2
1
4
3
3
5
4
1
3
6
5
6
6
4
3
7
17
2
17
4
25
3
19
4
37
5
28
3
25
2
17
10
25
9
5
4
6
1
8
10
4
7
7
Change the following fractions into top heavy
fractions or mixed fractions

13. © T Madas

14. © T Madas
1. How many quarters in 2 ?
2. How many quarters in 3 ?
3. How many tenths in 2 ?
4. How many tenths in 1 ?
5. How many twelfths in 1 ?
1
2
3
4
3
10
3
5
1
3
3
4
2 =
11
4

15. © T Madas
1. How many quarters in 2 ?
2. How many quarters in 3 ?
3. How many tenths in 2 ?
4. How many tenths in 1 ?
5. How many twelfths in 1 ?
1
2
3
4
3
10
3
5
1
3
3
4
2 =
11
4
1
2
3 =
7
2 =
14
4

16. © T Madas
1. How many quarters in 2 ?
2. How many quarters in 3 ?
3. How many tenths in 2 ?
4. How many tenths in 1 ?
5. How many twelfths in 1 ?
1
2
3
4
3
10
3
5
1
3
3
4
2 =
11
4
1
2
3 =
7
2 =
14
4
3
10
2 =
23
10

17. © T Madas
1. How many quarters in 2 ?
2. How many quarters in 3 ?
3. How many tenths in 2 ?
4. How many tenths in 1 ?
5. How many twelfths in 1 ?
1
2
3
4
3
10
3
5
1
3
3
4
2 =
11
4
1
2
3 =
7
2 =
14
4
3
10
2 =
23
10
3
5
1 =
8
5 =
16
10

18. © T Madas
1. How many quarters in 2 ?
2. How many quarters in 3 ?
3. How many tenths in 2 ?
4. How many tenths in 1 ?
5. How many twelfths in 1 ?
1
2
3
4
3
10
3
5
1
3
3
4
2 =
11
4
1
2
3 =
7
2 =
14
4
3
10
2 =
23
10
3
5
1 =
8
5 =
16
10
1
3
1 =
4
3 =
16
12

19. © T Madas

20. © T Madas
1
2
3
=
7
3
1
1
4
=
5
4
2
3
5
=
17
5
1
4
2
=
9
2
2
4
3
=
14
3
1
5
4
=
21
4
1
1
5
=
6
5
1
7
2
=
15
2
5
2
6
=
17
6
2
1
7
=
9
7
3
2
8
=
19
8
1
4
10
=
41
10
Mixed Fractions to Improper Fractions

21. © T Madas
=
1
2
3
7
3
=
1
1
4
5
4
=
2
3
5
17
5
=
1
4
2
9
2
=
2
4
3
14
3
=
1
5
4
21
4
=
1
1
5
6
5
=
1
7
2
15
2
=
5
2
6
17
6
=
2
1
7
9
7
=
3
2
8
19
8
=
1
4
10
41
10
Improper Fractions to Mixed Fractions

22. © T Madas
1
4
3
=
13
3
1
2
4
=
9
4
1
3
5
= 16
5
1
5
2
=
11
2
2
3
3
=
11
3
1
3
4
=
13
4
1
2
5
=
11
5
1
8
2
=
17
2
5
4
6
=
29
6
2
2
7
=
16
7
2
5
5
=
27
5
1
2
9
=
19
9
Mixed Fractions to Improper Fractions

23. © T Madas
=
1
4
3
13
3
=
1
2
4
9
4
=
1
3
5
16
5
=
1
5
2
11
2
=
2
3
3
11
3
=
1
3
4
13
4
=
1
2
5
11
5
=
1
8
2
17
2
=
5
4
6
29
6
=
2
2
7
16
7
=
2
5
5
27
5
=
1
2
9
19
9
Improper Fractions to Mixed Fractions

24. © T Madas
1
1
3
=
4
3
1
4
4
=
17
4
2
4
5
=
22
5
1
1
2
=
3
2
2
1
3
=
5
3
3
5
4
=
23
4
4
1
5
=
9
5
1
2
8
=
17
8
3
2
10
=
23
10
4
1
11
=
15
11
2
7
5
=
37
5
1
4
9
=
37
9
Mixed Fractions to Improper Fractions

25. © T Madas
=
1
1
3
4
3
=
1
4
4
17
4
=
2
4
5
22
5
=
1
1
2
3
2
=
2
1
3
5
3
=
3
5
4
23
4
=
4
1
5
9
5
=
1
2
8
17
8
=
3
2
10
23
10
=
4
1
11
15
11
=
2
7
5
37
5
=
1
4
9
37
9
Improper Fractions to Mixed Fractions

26. © T Madas

27. © T Madas
7.
6.
5.
4.
3.
2.
1.
Change from mixed numbers to improper fractions
and vice versa
14.
13.
12.
11.
10.
9.
8.
1
1
3
=
4
3
1
4
4
=
17
4
2
4
5
=
22
5
1
1
2
=
3
2
2
1
3
=
5
3
3
5
4
=
23
4
4
1
5
=
9
5
=
1
2
8
17
8
=
3
2
10
23
10
=
4
1
11
15
11
=
2
7
5
37
5
=
1
4
9
37
9
=
1
4
3
13
3
=
1
2
4
9
4

28. © T Madas
7.
6.
5.
4.
3.
2.
1.
Change from mixed numbers to improper fractions
and vice versa
14.
13.
12.
11.
10.
9.
8.
1
2
8
=
17
8
3
2
10
=
23
10
4
1
11
=
15
11
2
7
5
=
37
5
1
4
9
=
37
9
1
4
3
=
13
3
1
2
4
=
9
4
=
1
1
3
4
3
=
1
4
4
17
4
=
2
4
5
22
5
=
1
1
2
3
2
=
2
1
3
5
3
=
3
5
4
23
4
=
4
1
5
9
5

29. © T Madas
7.
6.
5.
4.
3.
2.
1.
Change from mixed numbers to improper fractions
and vice versa
14.
13.
12.
11.
10.
9.
8.
1
3
5
= 16
5
1
5
2
=
11
2
2
3
3
=
11
3
1
3
4
=
13
4
1
2
5
=
11
5
1
8
2
=
17
2
5
4
6
=
29
6
=
2
2
7
16
7
=
2
5
5
27
5
=
1
2
9
19
9
=
1
2
3
7
3
=
1
1
4
5
4
=
2
3
5
17
5
=
1
4
2
9
2

30. © T Madas
7.
6.
5.
4.
3.
2.
1.
Change from mixed numbers to improper fractions
and vice versa
14.
13.
12.
11.
10.
9.
8.
2
2
7
=
16
7
2
5
5
=
27
5
1
2
9
=
19
9
1
2
3
=
7
3
1
1
4
=
5
4
2
3
5
=
17
5
1
4
2
=
9
2
=
2
4
3
14
3
=
1
5
4
21
4
=
1
1
5
6
5
=
5
2
6
17
6
=
2
1
7
9
7
=
3
2
8
19
8
=
1
4
10
41
10

31. © T Madas
7.
6.
5.
4.
3.
2.
1.
Change from mixed numbers to improper fractions
and vice versa
14.
13.
12.
11.
10.
9.
8.
2
4
3
=
14
3
1
5
4
=
21
4
1
1
5
=
6
5
5
2
6
=
17
6
2
1
7
=
9
7
3
2
8
=
19
8
1
4
10
=
41
10
=
1
3
5
16
5
=
1
5
2
11
2
=
2
3
3
11
3
=
1
3
4
13
4
=
1
2
5
11
5
=
1
8
2
17
2
=
5
4
6
29
6

32. © T Madas