Adding and Subtracting Improper Fractions

1. Did you know that
you can add
improper fractions?

2. 3
4
3
4
+
To do it is the same as normal.
Read this sum out loud.
Do these fractions have the same
denominator?

3. 3
4
3
4
+
The fractions have the same
denominator
quarters

4. 3
4
3
4
+ =
?
?
How do we add these two fractions?

5. 3
4
3
4
+ =
?
4
Because both denominators are the same,
we do not change it, so it must be quarters.

6. 3
4
3
4
+
=
6
4
Now we add the numerators. 3 + 3 = 6.

7. 3
4
3
4
+ =
6
4
Here is our answer!

8. 3
4
3
4
+
Three quarters plus three quarters
equals six quarters.
quarters
6
4
=

9. How do we show
this?
Three quarters plus three quarters
equals six quarters.

10. 3
4
3
4
+
6
4
=

11. Let’s try another
one!

12. 7
6
2
6
+
Read this sum out loud.
Do these fractions have the same
denominator?

13. 7
6
2
6
+
The fractions have the same
denominator
sixths

14. 7
6
2
6
+ =
?
?
How do we add these two fractions?

15. 7
6
2
6
+ =
?
6
Because both denominators are the same,
we do not change it, so it must be sixths.

16. 7
6
2
6
+
=
9
6
Now we add the numerators. 7 + 2 = 9.

17. 7
6
2
6
+ =
9
6
Here is our answer!

18. 7
6
2
6
+
Seven sixths plus two sixths
equals nine sixths.
sixths
9
6
=

19. How do we show
this?
Seven sixths plus two sixths
equals nine sixths.

20. 7
6
2
6
+
9
6
=

21. One last example
for addition!

22. 8
6
9
6
+
Read this sum out loud.
Do these fractions have the same
denominator?

23. 8
6
9
6
+
The fractions have the same
denominator
sixths

24. 8
6
9
6
+ =
?
?
How do we add these two fractions?

25. 8
6
9
6
+ =
?
6
Because both denominators are the same,
we do not change it, so it must be sixths.

26. 8
6
9
6
+
=
17
6
Now we add the numerators. 8 + 9 = 17.

27. 8
6
9
6
+ =
17
6
Here is our answer!

28. 8
6
9
6
+
Eight sixths plus nine sixths
equals seventeen sixths.
sixths
17
6
=

29. How do we show
this?
Eight sixths plus nine sixths
equals seventeen sixths.

30. 8
6
9
6
+
17
6
=

31. Now it’s time for you to try some.
You can discuss these with a friend.
Thinking time starts now !
3
6
8
6
5
9
5
9
4
7
4
7
5
8
7
8
?
?
?
?
?
?
?
?
+
+
+
+
=
=
=
=

32. 3
6
8
6
5
9
5
9
4
7
4
7
5
8
7
8
11
6
10
9
12
8
+
+
+
+
=
=
=
=
The answers.
How did you do?
8
7

33. Did you know that
you can also subtract
improper fractions?

34. 16
4
6
4
-
To do it is the same as normal.
Read this sum out loud.
Do these fractions have the same
denominator?

35. 16
4
6
4
-
The fractions have the same
denominator
quarters

36. 16
4
6
4
- =
?
?
How do we subtract these two fractions?

37. 16
4
6
4
- =
?
4
Because both denominators are the same,
we do not change it, so it must be quarters.

38. 16
4
6
4
-
=
10
4
Now we subtract the second numerator
from the first numerator. 16 - 6 = 10.

39. 16
4
6
4
- =
10
4
Here is our answer!

40. 16
4
6
4
-
Sixteen quarters minus six
quarters equals ten quarters.
quarters
10
4
=

41. How do we show
this?
Sixteen quarters minus six
quarters equals ten quarters.

42. 16
4
6
4
-
10
4
=

43. 16
4
6
4
-
To do it is the same as normal.
Read this sum out loud.
Do these fractions have the same
denominator?

44. 8
6
1
6
-
The fractions have the same
denominator
sixths

45. 8
6
1
6
- =
?
?
How do we subtract these two fractions?

46. 8
6
1
6
- =
?
6
Because both denominators are the same,
we do not change it, so it must be sixths.

47. 8
6
1
6
-
=
7
6
Now we subtract the second numerator
from the first numerator. 8 - 1 = 7.

48. 8
6
1
6
- =
7
6
Here is our answer!

49. 8
6
1
6
-
Eight sixths minus one
sixth equals seven sixths.
sixths
7
6
=

50. How do we show
this?
Eight sixths minus one
sixth equals seven sixths.

51. 8
6
1
6
-
7
6
=

52. Now it’s time for you to try some.
You can discuss these with a friend.
Thinking time starts now !
13
6
5
6
15
9
1
9
19
7
8
7
12
8
9
8
?
?
?
?
?
?
?
?
-
-
-
-
=
=
=
=

53. 13
6
5
6
15
9
1
9
19
7
8
7
12
8
9
8
8
6
11
7
14
9
3
8
-
-
-
-
=
=
=
=
The answers.
How did you do?