1. &
dding
ubtracting
ractions

2. Vocabulary Numerator- the number on top in a fraction.
Denominator- the number on bottom in a fraction.
Least Common Multiple- the smallest number that is in common with two or more numbers.
Least Common Denominator- the smallest number that is a multiple of both denominators in a pair of fractions.

3. Vocabulary Numerator- the number on top in a fraction.
Denominator- the number on bottom in a fraction.
Least Common Multiple- the smallest number that is in common with two or more numbers.
Least Common Denominator- the smallest number that is a multiple of both denominators in a pair of fractions.

4. We need a common
denominator to add
these fractions. +

5. +
We need a common
denominator to add
these fractions.
Count by 2's
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Count by 7's
7, 14, 21, 28, 35…

6. Count by 2's
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Count by 7's
7, 14, 21, 28, 35…
The first number IN COMMON
that appears on both lists
becomes the common denominator

7. 7 6 13 = = + 7 + 6 = 13 x 7 X 7 x 2 x 2 Make equivalent fractions.
Add the numerators = +
7 + 6 = 13
x 2 13

8. We need a common
denominator to add
these fractions. +
Count by 7's
7, 14, 21, 28, 35, 42, 49, 56, 63
Count by 8's
8, 16, 24, 32, 40, 48, 56, 64, 72

9. 32 21 53 32 + 21 = 53 = + = x 8 x 8 x 7 x 7 Make equivalent fractions.
Add the numerators
x 7 +
= 53 =
x 7 53

10. +
We need a common
denominator to add
these fractions.
Count by 3's
3, 6, 9, 12, 15, 18, 21, 24, 27
Count by 6's
6, 12, 18, 24,…

11. 4 1 5 4 + 1 = 5 = + = x 2 X 2 x 1 x 1 Make equivalent fractions.
Add the numerators =
x 1
4 + 1 = 5 5

12. +
We need a common
denominator to add
these fractions.
Count by 11's
11, 22, 33, 44, 55, 66, 77…
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

13. Subtracting Fractions

14. -
We need a common
denominator to
subtract a fraction
from another.
Count by 5's
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Count by 11's
11, 22, 33, 44, 55, 66, 77…

15. 15 11 4 15 - 11 = 4 = = - x 5 x 5 x 11 x 11 Make equivalent fractions.
Subtract. =
= 4 -
x 11 4

16. -
We need a common
denominator to
subtract one fraction
from another.
Count by 2's
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 …
Count by 10's
10, 20, 30…

17. 5 3 2 5 – 3 = 2 = - = x 5 x 5 x 1 x 1 Make equivalent fractions.
Subtract. - =
5 – 3 = 2
x 1 2

18. Try These A D E B F C

19. Answers On Next Slide
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Check your papers.
If you discover an incorrect answer, be able to explain your mistake.

20. Try These 10 9 17 27 A D 41 28 13 12 B E 19 20 26 21 C F