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Adding & Subtracting Fractions with Same Denominators
Steps;
1) Add or subtract the numerators
2) Keep the denominator the same
3) Simplify by reducing to lowest terms
Adding & Subtracting Fractions with Different Denominators
Steps;
1) Find a common denominator• List multiples• Multiply the denominators
2) Make equivalent fractions
3) Add or subtract the numerators
4) Keep the denominator the same
5) Simplify by reducing to lowest terms
We need a common denominator to add
these fractions.
7, 14, 21, 28, 35…
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
We need a common denominator to add
these fractions.
7, 14, 21, 28, 35…
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
The first number IN COMMONthat appears on both lists
becomes the common denominator
x 2
x 2
X 7
x 7 7
6
7 + 6 = 13
13
We need a common denominator to add
these fractions.
5, 10, 15, 20, 25, 30, 35, 40, 45
7, 14, 21, 28, 35, 42, 49, 56, 63
x 7
x 7
X 5
x 5 15
7
15 + 7 = 22
22
We need a common denominator to add
these fractions.
7, 14, 21, 28, 35, 42, 49, 56, 63
8, 16, 24, 32, 40, 48, 56, 64, 72
x 7
x 7
x 8
x 8 32
2132 + 21 = 53
53
We need a common denominator to add
these fractions.
3, 6, 9, 12, 15, 18, 21, 24, 27
5, 10, 15, 20, 25, 30, 35, 40, 45
X 3
x 5
x 5
x 3 9
10
9 + 10 = 19
19
We need a common denominator to add
these fractions.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33
11, 22, 33, 44, 55, 66, 77…
x 11
x 11
X 3
x 3 15
2215 + 22 = 37
37
We need a common denominator to add
these fractions.
3, 6, 9, 12, 15, 18, 21, 24, 27
6, 12, 18, 24,…
x 1
x 1
X 2
x 2 4
1
4 + 1 = 5 5
We need a common denominator to add
these fractions.
11, 22, 33, 44, 55, 66, 77…
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
x 11
x 11
X 6
x 6 18
11
29
18 + 11 = 29
We need a common denominator to add
these fractions.
We need a common denominator to add
these fractions.
9, 18, 27, 36, 45, 54, 63, 72, 81
5, 10, 15, 20, 25, 30, 35, 40, 45
9, 18, 27, 36, 45, 54, 63, 72, 81
5, 10, 15, 20, 25, 30, 35, 40, 45
The first number IN COMMONthat appears on both lists
becomes the common denominator
x 5
x 5
x9
x 936
3536 + 35 = 71
71
36 + 35 = 71
We need a common denominator to add
these fractions.
12, 24, 36, 48, 60, 72, 84, 96
8, 16, 24, 32, 40, 48, 56, 64, 72, 79, 80, 88, 96
x 3
x 3
x 2
x 2
19
10 + 9 = 19
9
10
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
We need a common denominator to
subtract a fraction from another.
11, 22, 33, 44, 55, 66, 77…
x 5
x 5
x 11
x 11
4
15 - 11 = 4
15
11
We need a common denominator to
subtract one fractionfrom another.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 …
10, 20, 30…
x 1
x 1
x 5
x 5
2
5 – 3 = 2
5
3
Try These
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Try These Answers
A
F
EB
C
D1727
1920
109
4128
2621
1312
Board Game Challenge
• http://www.math-play.com/adding-and-subtracting-fractions-game.html
