Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2)...
-
Upload
hester-boyd -
Category
Documents
-
view
216 -
download
0
Transcript of Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2)...
![Page 1: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/1.jpg)
![Page 2: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/2.jpg)
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
![Page 3: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/3.jpg)
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
![Page 4: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/4.jpg)
We need a common denominator to add
these fractions.
![Page 5: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/5.jpg)
7, 14, 21, 28, 35…
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
We need a common denominator to add
these fractions.
![Page 6: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/6.jpg)
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
![Page 7: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/7.jpg)
x 2
x 2
X 7
x 7 7
6
7 + 6 = 13
13
![Page 8: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/8.jpg)
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
![Page 9: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/9.jpg)
x 7
x 7
X 5
x 5 15
7
15 + 7 = 22
22
![Page 10: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/10.jpg)
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
![Page 11: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/11.jpg)
x 7
x 7
x 8
x 8 32
2132 + 21 = 53
53
![Page 12: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/12.jpg)
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
![Page 13: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/13.jpg)
X 3
x 5
x 5
x 3 9
10
9 + 10 = 19
19
![Page 14: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/14.jpg)
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…
![Page 15: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/15.jpg)
x 11
x 11
X 3
x 3 15
2215 + 22 = 37
37
![Page 16: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/16.jpg)
We need a common denominator to add
these fractions.
3, 6, 9, 12, 15, 18, 21, 24, 27
6, 12, 18, 24,…
![Page 17: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/17.jpg)
x 1
x 1
X 2
x 2 4
1
4 + 1 = 5 5
![Page 18: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/18.jpg)
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
![Page 19: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/19.jpg)
x 11
x 11
X 6
x 6 18
11
29
18 + 11 = 29
![Page 20: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/20.jpg)
We need a common denominator to add
these fractions.
![Page 21: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/21.jpg)
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
![Page 22: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/22.jpg)
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
![Page 23: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/23.jpg)
x 5
x 5
x9
x 936
3536 + 35 = 71
71
36 + 35 = 71
![Page 24: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/24.jpg)
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
![Page 25: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/25.jpg)
x 3
x 3
x 2
x 2
19
10 + 9 = 19
9
10
![Page 26: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/26.jpg)
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…
![Page 27: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/27.jpg)
x 5
x 5
x 11
x 11
4
15 - 11 = 4
15
11
![Page 28: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/28.jpg)
We need a common denominator to
subtract one fractionfrom another.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 …
10, 20, 30…
![Page 29: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/29.jpg)
x 1
x 1
x 5
x 5
2
5 – 3 = 2
5
3
![Page 30: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/30.jpg)
Try These
A
F
EB
C
D
![Page 31: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/31.jpg)
Try These Answers
A
F
EB
C
D1727
1920
109
4128
2621
1312
![Page 32: Adding & Subtracting Fractions with Same Denominators Steps; 1) Add or subtract the numerators 2) Keep the denominator the same 3) Simplify by reducing.](https://reader036.fdocuments.in/reader036/viewer/2022070401/56649f1c5503460f94c32c8f/html5/thumbnails/32.jpg)
Board Game Challenge
• http://www.math-play.com/adding-and-subtracting-fractions-game.html