Add Mixed Numbers
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![Page 1: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/1.jpg)
Add Mixed Numbers
Mrs. YoungEMC 1
![Page 2: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/2.jpg)
Quick Review
• Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole
• Unlike denominators– This means that the denominators are the different
• Example: Look at the fractions below
34
16
The fractions have different denominators– called unlike denominators
and
![Page 3: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/3.jpg)
Quick Review Continued…
• Mixed number: a mixed number is a whole number and a fraction.
• Example:
2 310
![Page 4: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/4.jpg)
Add Mixed Numbers
• Remember, in order to add fractions you need to have a common denominator.
• Add
2 310
+
3 110
![Page 5: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/5.jpg)
Step 1:
• Find the least common denominator to find like fractions.
• In this case the fractions are already like.
2 310
+
3 110
![Page 6: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/6.jpg)
Step 2:
• Add the fractions
2 310
+ 3 1
10410
![Page 7: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/7.jpg)
Step 3:
• Add the whole numbers
2 310
+ 3 1
104105
![Page 8: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/8.jpg)
Step 4:
• Simplify the fraction part of the sum, if possible
4105
In order to simplify the fraction, you must find the GCF of the numerator and the denominator.
Remember to list all of the factors:
4: 1, 2, 4
10: 1, 2, 5, 10
GCF = 2
=÷
÷
22
255
![Page 9: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/9.jpg)
Step 1:
1 37
+
3 12
• Find the least common denominator to find like fractions.
37
+
x 2
x 2
12
x 7
x 7= 6
14+
714
![Page 10: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/10.jpg)
Step 2:
• Add the fractions
1 614
3 7141310
+
![Page 11: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/11.jpg)
Step 3:
• Add the whole numbers
1 614
3 7141314
+
3
![Page 12: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/12.jpg)
Step 4:
• Simplify the fraction part of the sum, if possible
13143 =÷
÷
11
13143
In order to simplify the fraction, you must find the GCF of the numerator and the denominator.
Remember to list all of the factors:
13: 1, 13
14: 1, 2, 7, 14
GCF = 1
![Page 13: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/13.jpg)
Step 1:
• Find the least common denominator to find like fractions.
2 35
+
4 67
35
+
x 7
x 7
67
x 5
x 5= 21
35+
3035
![Page 14: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/14.jpg)
Step 2:
• Add the fractions
2 2135
4 30355135
+
![Page 15: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/15.jpg)
Step 3:
• Add the whole numbers
2 2135
4 30355135
+
6
![Page 16: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/16.jpg)
Step 4:
• Simplify the fraction part of the sum, if possible
51356
This time, our fraction is an improper fraction. So, we MUST turn this into a mixed number.
5135 = 16
351
![Page 17: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/17.jpg)
Step 4 continued
• Now we are left with this and we must add again!
16351 +
6 = 16
357Make sure that you simplify the fraction!
In this case, it is already reduced to lowest terms.
![Page 18: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/18.jpg)
Step 1:
• Find the least common denominator to find like fractions.
1 29
+
4 23
29
+
x 3
x 3
23
x 9
X 9= 6
27+
1827
![Page 19: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/19.jpg)
Step 2:
• Add the fractions
1 627
4 18272427
+
![Page 20: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/20.jpg)
Step 3:
• Add the whole numbers
1 627
4 18272427
+
5
![Page 21: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/21.jpg)
Step 4:
• Simplify the fraction part of the sum, if possible
24275
In order to simplify the fraction, you must find the GCF of the numerator and the denominator.
Remember to list all of the factors:
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
GCF = 3
=÷
÷
33
895
![Page 22: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/22.jpg)
Your turn!
211
+
5233
![Page 23: Add Mixed Numbers](https://reader036.fdocument.pub/reader036/viewer/2022062300/5562947cd8b42a950c8b4ede/html5/thumbnails/23.jpg)
Try another!
17
+
3344