Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards...
-
Upload
eunice-harris -
Category
Documents
-
view
214 -
download
1
Transcript of Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards...
![Page 1: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/1.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Warm UpWarm Up
California StandardsCalifornia Standards
Lesson PresentationLesson Presentation
PreviewPreview
![Page 2: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/2.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Warm UpFind the LCM for each set of numbers.
1. 8 and 12
2. 12 and 18
3. 10 and 12
4. 12 and 24
24
36
60
24
![Page 3: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/3.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
NS2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.Also covered: NS2.4
California Standards
![Page 4: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/4.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
To add and subtract fractions with like denominators, add or subtract the numerators and keep the common denominator.
![Page 5: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/5.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Add. Write the answer in simplest form.
Additional Example 1A: Adding and Subtracting Fractions with Like Denominators
58
+ 18
58
+ 18
= 5 + 18
Add the numerators and keepthe common denominator.
= 68
= 34 Simplify.
![Page 6: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/6.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Subtract. Write the answer in simplest form.
Additional Example 1B: Adding and Subtracting Fractions with Like Denominators
911
– 411
911
–4
11= 9 – 4
11Subtract the numerators andkeep the common denominator.
The answer is in the simplestform.
= 5 11
![Page 7: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/7.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Add. Write the answer in simplest form.
Check It Out! Example 1A
56
+ 16
56
+ 16
= 5 + 16
Add the numerators and keepthe common denominator.
= 66
= 1 Simplify.
![Page 8: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/8.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Subtract. Write the answer in simplest form.
Check It Out! Example 1B
710
– 410
710
–4
10= 7 – 4
10Subtract the numerators andkeep the common denominator.
The answer is in the simplestform.
= 3 10
![Page 9: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/9.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
To add or subtract fractions with different denominators, you must rewrite the fractions with a common denominator.
Two Ways to Find a Common Denominator
Method 1: Multiply the denominators.
Method 2: Find the LCM (least common multiple) of the denominators.
![Page 10: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/10.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
The LCM of two denominators is the least common denominator (LCD) of the fractions.
Helpful Hint
![Page 11: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/11.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Subtract. Write the answer in simplest form.
Additional Example 2A: Adding and Subtracting Fractions with Unlike Denominators
34
– 23
34
– 23
= 3 34 3
– 2 43 4
Use Method 1: Multiply the denominators.
Write equivalent fractions using a common denominator.
Subtract.
= 912
– 812
= 112
![Page 12: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/12.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Add. Write the answer in simplest form.
18
+ 35
Use Method 2: The LCM of the denominators is 40.
Write equivalent fractions using a common denominator.
= Add.
18
+35
= 1 58 5
+ 3 85 8
Additional Example 2B: Adding and Subtracting Fractions with Unlike Denominators
= + 2440
540
2940
![Page 13: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/13.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Add. Write the answer in simplest form.
Additional Example 2C: Adding and Subtracting Fractions with Unlike Denominators
56
+ 78
56
+ 78
= 5 46 4
+ 7 38 3
Use Method 2: The LCM of the denominators is 24.
= 2024
+ 2124
Write equivalent fractions using a common denominator.
= 4124
=1 1724
Add. Then simplify.
![Page 14: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/14.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Subtract. Write the answer in simplest form.
Check It Out! Example 2A
35
– 12
35
– 12
= 3 25 2
– 1 52 5
Use Method 1: Multiply the denominators.
Write equivalent fractions using a common denominator.
Subtract.
= 610
– 510
= 110
![Page 15: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/15.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Add. Write the answer in simplest form.
35
+ 12
Use Method 1: Multiply the denominators.Write equivalent fractions using a common denominator.
= Add. Then simplify.
35
+12
= 3 25 2
+ 1 52 5
Check It Out! Example 2B
= + 510
610
1110
= 1 110
![Page 16: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/16.jpg)
Holt CA Course 1
4-2 Adding and Subtracting Fractions
Add. Write the answer in simplest form.
Check It Out! Example 2C
25
+ 56
25
+ 56
= 2 65 6
+ 5 56 5
Use Method 2: The LCM of the denominators is 30.
= 1230
+ 2530
Write equivalent fractions using a common denominator.
= 3730
Add. Then simplify.= 1 730
![Page 17: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/17.jpg)
Holt CA Course 1
4-2 Adding and Subtracting FractionsAdditional Example 3: Astronomy Application
1 62 6
– 1 112 1
Use Method 2: The LCM of the denominators is 12.
Write equivalent fractions using a common denominator.
Subtract.
12
– = 112
= 612
– 112
= 512
In one Earth year, Jupiter completes about
of its orbit around the Sun, while Mars
completes about of its orbit. How much more
of its orbit does Mars complete than Jupiter?
12
112
Mars completes more of its orbit than Jupiter does. 512
![Page 18: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/18.jpg)
Holt CA Course 1
4-2 Adding and Subtracting FractionsCheck It Out! Example 3
1 62 6
– 5 112 1
The LCM of the denominators is 12.
Write equivalent fractionsusing a common denominator.
Subtract.
12
– = 512
= 612
– 512
= 112
It takes Michelle hour to drive to work. It
takes Luke hour to drive to work. How much
longer does it take Luke to drive to work?
12
512
It takes Luke hour longer to drive to work.112
![Page 19: Holt CA Course 1 4-2 Adding and Subtracting Fractions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.](https://reader035.fdocuments.in/reader035/viewer/2022080905/56649f515503460f94c73cba/html5/thumbnails/19.jpg)
Holt CA Course 1
4-2 Adding and Subtracting FractionsLesson Quiz
Add or subtract. Write each answer in simplest form.
112
13
2. 38
+ 58
1. 57
– 37
3. 4.12
– 14
5. You need a nail to go through a -inch door
and extend an extra inch. How long should the nail be?
778
1
in.118
27
+512
1112
114