1. Adding, subtracting, multiplying, and dividing fractions
Amie Schneider
Teacher page

2. Adding Fractions- Step 1-
Make sure both the fractions have a common denominator.
Example- 1/3 + 1/6 = ?
^Not the same^
Find a common denominator
Multiply 1/3 by 2 on the top and bottom
(2)(1) = 2 (2)(3) = 6
New fraction = 2/6

3. Adding Fractions- Step 2-
Now having common denominators we can add the fractions
Only add the numerators (top)
2/6 + 1/6 =
2 + 1 = 3
Denominator remains 6
Answer 3/6

4. Adding Fractions- Step 3- If possible simplify your answer =
Does 3/6 equal something else?
Find the greatest common factor
3/6 = 1/2 because the GCF was 3
3 ÷ 3 = 1 and 6 ÷ 3 = 2 =

5. Subtracting Fractions-
Step 1-
Make sure the denominator are the same
Example- 1/2 - 1/10 = ?
^Not the same^
Find a common denominator
Multiply 1/2 by 5
(1)(5) = 5 (2)(5) = 10
New fraction = 5/10

6. Subtracting Fractions-
Step 2-
Now that we have common denominators we can subtract!
Only subtract the numerators.
Example- 5/10 – 1/10 = ?
5 – 1 = 4
Denominator remains 10
Answer – 4/10

7. Subtracting Fractions-
Step 3-
If possible simplify your answer.
Does 4/10 equal something else?
Find the greatest common factor
4/10 = 2/5 because the GCF is 2
4 ÷ 2 = 2 and 10 ÷ 2 = 5

8. Multiplying Fractions-
Step 1-
Multiply the numerators
Example- 1/2 x 2/5 = ?
1 x 2 = 2
*This time we don’t need a common denominator!

9. Multiplying Fractions-
Step 2-
Multiply the denominators
Example- 1/2 x 2/5 = ?
2 x 5 = 10

10. Multiplying Fractions-
Step 3-
If possible simplify your answer
Answer – 2/10
Find the greatest common factor
2/10 = 1/5 because the GCF is 2
2 ÷ 2 = 1 and 10 ÷ 2 = 5

11. Dividing Fractions- Step 1-
“Skip, Change, Flip”
Don’t change the first fraction – Skip
Change the ÷ to a x - Change
Flip the second fraction upside down (the reciprocal)- Flip
Example- 1/3 ÷ 2/4 becomes 1/3 x 4/2

12. Dividing Fractions- Step 2- Answer- 4/6 Multiply the numerators
1 x 4 = 4
Multiply the denominators
3 x 2 = 6
Answer- 4/6

13. Dividing Fractions- Step 3- If possible simplify your answer
Find greatest common factor
Answer- 4/6
4/6 = 2/3 because the GCF is 2
4 ÷ 2 = 2 and 6 ÷ 2 = 3

14. Now lets see what you have learned……

15. #1-What is 2/5 + 1/5?
3/5
3/10
2/25
1/5

16. Correct!
Next Question

17. Try again!
Go back to question

18. #2-What is 3/4 - 4/6 ?
7/10
1/12
12/24
1/2

19. Good Job!
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20. Nice try!
Go back to question

21. #3-What is 1/2 x 2/3?
3/5
1/6
1/3
2/5

22. Excellent!
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23. Try Again!
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24. #4-What is 1/4 + 2/3?
11/12
3/7
2/12
3/12

25. Correct!
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26. Try again!
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27. #5- What is 1/3 ÷ 2/3?
1/3
2/6
1/2
2/3

28. Good Work!
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29. Nice Try!
Go back to question

30. #6- What is 2/5 – 1/3?
2/15
1/15
3/8
1/2

31. Correct!
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32. Try Again!
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33. #7- What is 3/4 x 1/8?
3/32
2/4
4/12
3/12

34. Good Job!
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35. Try Again!
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36. #8- What is 1/8 ÷ 2/3?
2/24
2/16
3/16
1/5

37. Go back to question
Try again!

38. Excellent!

39. The End!