1. Subtraction Mixed Numbers
5th Grade
Subtraction Mixed Numbers
Fractions 13

2. Adding and Subtracting Mixed Numbers

3. Adding Mixed Numbers Find the sum. 4 9 1 1 9 + 3 5 9 4
Rewrite the fraction using LCD if denominators are different. 4 9 1
2. Add or subtract the whole numbers then the fractions. 1 9 + 3
3. Simplify if possible. 5 9 4
In this problem, the denominators are the same, so begin with step 2.

4. Let’s Do More Examples! Find the sum. 7 8 4 9 4 1 1 4 2 1 3 3 5 3 = =+ + 8 9
X 2
X 3 1 8 9 8 7 9 9 = 1 4 1 8 10
Add the whole numbers.

5. Copyright © 2006 by Monica Yuskaitis

6. To Subtract Mixed Numbers with Regrouping.
Regroup by borrowing one whole from the 5. 4 1 5 8 5 3 - 8
Copyright © 2006 by Monica Yuskaitis

7. To Subtract Mixed Numbers with Regrouping.
Change the whole into a fraction. in this case 1 changes into 8/8. 4 1 8 5 8 8 5 3 - 8
Copyright © 2006 by Monica Yuskaitis

8. To Subtract Mixed Numbers with Regrouping.
Add the 1/8 plus the 8/8. 4 1 8 9 + = 5 8 8 8 5 3 - 8
Copyright © 2006 by Monica Yuskaitis

9. To Subtract Mixed Numbers with Regrouping.
4) Subtract the whole numbers. 4 1 8 9 + = 5 8 8 8 5 3 - 8 1
Copyright © 2006 by Monica Yuskaitis

10. To Subtract Mixed Numbers with Regrouping.
5) Subtract the fractions. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 1 8
Copyright © 2006 by Monica Yuskaitis

11. To Subtract Mixed Numbers with Regrouping.
Simplify your fraction if necessary. 4 1 8 9 + = 5 8 8 8
Don’t forget to include the whole number! 5 3 - 8 4 4 1 1 ÷ = 1 8 2
Copyright © 2006 by Monica Yuskaitis

12. Copyright © 2006 by Monica Yuskaitis
Example 2: Subtract 4
Regroup by
borrowing a whole
from the 5. 3 5 9 7 2 - 9
Copyright © 2006 by Monica Yuskaitis

13. Copyright © 2006 by Monica Yuskaitis
Subtract. 4
Change
the whole into a
fraction in this
case 9/9. 3 9 5 9 7 2 - 9
Copyright © 2006 by Monica Yuskaitis

14. Copyright © 2006 by Monica Yuskaitis
Subtract. 4
Add 3/9 +
9/9. 3 9 12 5 + = 9 9 7 2 - 9
Copyright © 2006 by Monica Yuskaitis

15. Copyright © 2006 by Monica Yuskaitis
Subtract. 4
Subtract the
whole numbers
4 – 2. 3 9 12 5 + = 9 9 9 7 2 - 9 2
Copyright © 2006 by Monica Yuskaitis

16. Copyright © 2006 by Monica Yuskaitis
Subtract. 4
Subtract the
fractions
12/9 – 7/9. 3 9 12 5 + = 9 9 9 7 2 - 9 5 2 9
Copyright © 2006 by Monica Yuskaitis

17. Copyright © 2006 by Monica Yuskaitis

18. To Subtract Mixed Numbers with Regrouping.
Find the LCD or LCM of the denominators. 1 5 8 8 3 3 - 4 8
Copyright © 2006 by Monica Yuskaitis

19. To Subtract Mixed Numbers with Regrouping.
Find the equivalent fractions with 8 as a denominator. 1
x 1 1 = 5 8
x 1 8 3
x 2 6 3 - 4
x 2 8
Copyright © 2006 by Monica Yuskaitis

20. To Subtract Mixed Numbers with Regrouping.
Re-write your problem. 1 5 8 6 3 - 8
Copyright © 2006 by Monica Yuskaitis

21. To Subtract Mixed Numbers with Regrouping.
Regroup by borrowing one whole from the 5. 4 1 5 8 6 3 - 8
Copyright © 2006 by Monica Yuskaitis

22. To Subtract Mixed Numbers with Regrouping.
Change the whole to 8/8. 4 1 8 5 8 8 6 3 - 8
Copyright © 2006 by Monica Yuskaitis

23. To Subtract Mixed Numbers with Regrouping.
Add the 1/8 and 8/8 together. 4 1 8 9 + = 5 8 8 8 6 3 - 8
Copyright © 2006 by Monica Yuskaitis

24. To Subtract Mixed Numbers with Regrouping.
6) Subtract the whole numbers. 4 1 8 9 + = 5 8 8 8 6 3 - 8 1
Copyright © 2006 by Monica Yuskaitis

25. To Subtract Mixed Numbers with Regrouping.
7) Subtract the fractions. 4 1 8 9 + = 5 8 8 8 3 3 - 4 3 1 8
Copyright © 2006 by Monica Yuskaitis

26. Copyright © 2006 by Monica Yuskaitis
Get white boards!
Copyright © 2006 by Monica Yuskaitis

27. Subtract we will go through each step together! Showing our work 3 5 9 9 2 2 - 3 9
Copyright © 2006 by Monica Yuskaitis

28. Copyright © 2006 by Monica Yuskaitis
Subtract.
Find the
equivalent
fractions with
9 as a
denominator. 3 1 3 5 x = 9 9 2 3 6 x 2 = - 3 3 9
Copyright © 2006 by Monica Yuskaitis

29. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 1 3
Regroup by
borrowing 1
from the 5. 5 x = 9 1 9 2 3 6 x 2 = - 3 3 9
Copyright © 2006 by Monica Yuskaitis

30. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 3 9
Change the
1 to a fraction
with 9 as a
denominator. 5 = 9 9 9 2 6 = 2 - 3 9
Copyright © 2006 by Monica Yuskaitis

31. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2
Add 3/9 + 9/9. - 3 9
Copyright © 2006 by Monica Yuskaitis

32. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2
Subtract 4
minus 2. - 3 9 6 2 9
Copyright © 2006 by Monica Yuskaitis

33. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2
Subtract 12/9
minus 6/9. - 3 9 6 2 9
Copyright © 2006 by Monica Yuskaitis

34. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6
Simplify your
fraction. = 2 - 3 9 6 3 2 2 ÷ = 9 3
Copyright © 2006 by Monica Yuskaitis

35. Copyright © 2006 by Monica Yuskaitis
Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6
Your answer
is 2 2/3. = 2 - 3 9 6 3 2 2 ÷ = 9 3 3
Copyright © 2006 by Monica Yuskaitis

36. Practice Time