2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its...
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Transcript of 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its...
![Page 1: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/1.jpg)
2-5 Improper 2-5 Improper Fractions &Fractions &
Mixed NumbersMixed Numbers
![Page 2: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/2.jpg)
A proper fraction has a numerator that is less than its denominator.
34
12 3
8
proper fraction
![Page 3: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/3.jpg)
An improper fraction has a numerator that is more than or equal to its denominator.
54
112 33
8
improper fraction
![Page 4: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/4.jpg)
What is the improper What is the improper fraction?fraction?
= 154
Don’t write, just figure it out
![Page 5: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/5.jpg)
What is the improper What is the improper fraction?fraction?
= 194
Don’t write, just figure it out
![Page 6: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/6.jpg)
What is the improper What is the improper fraction?fraction?
= 112
Don’t write, just figure it out
![Page 7: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/7.jpg)
A mixed number shows the sum of a whole number and a proper fraction.
34
12 3
8
Mixed number
1 2 3
![Page 8: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/8.jpg)
What is the mixed What is the mixed number?number?
= 3 34
Don’t write, just figure it out
![Page 9: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/9.jpg)
What is the mixed What is the mixed number?number?
= 4 34
Don’t write, just figure it out
![Page 10: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/10.jpg)
What is the mixed What is the mixed number?number?
= 5 12
Don’t write, just figure it out
![Page 11: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/11.jpg)
Ex: Mixed number and Ex: Mixed number and improper fraction equal each improper fraction equal each
otherother
=112
=12
5
Don’t write, just figure it out
![Page 12: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/12.jpg)
How to change an improper How to change an improper fraction to a mixed numberfraction to a mixed number
Divide the numerator by the denominator. Put your remainder over the denominator.
![Page 13: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/13.jpg)
35
32
153
Improper Fraction Divide
Mixed Number
53
1
32
23
Convert Improper Fractions to Mixed Numbers
= =
![Page 14: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/14.jpg)
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
7
3= 3 ) 7
2 r 1
Put your remainder over the denominator.
= 213
![Page 15: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/15.jpg)
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
8
3= 3 ) 8
2 r 2
Put your remainder over the denominator.
= 223
![Page 16: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/16.jpg)
Go to Go to page page 7878
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How to change a mixed How to change a mixed number to an improper fractionnumber to an improper fraction
Multiply the whole number times Multiply the whole number times the denominator.the denominator.
Add your answer to the Add your answer to the numerator.numerator.
Put your new number Put your new number over the denominator.over the denominator.
![Page 18: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/18.jpg)
Convert Mixed Numbers Convert Mixed Numbers to Improper Fractionsto Improper Fractions
How many thirds are in the whole number?
32
4FIRST multiply denominator by the whole number
3 x 4
NEXT
PLUS how many thirds are in the fraction?
3 x 4 = 12
3Keep the same denominator
LAST The sum is the numerator
32
4
12 + 2
12 + 2 = 14
14
add the productto the numerator
![Page 19: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/19.jpg)
How to change a mixed How to change a mixed number to an improper fractionnumber to an improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
4 12x
+=
92
![Page 20: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/20.jpg)
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
6 23x
+=203
![Page 21: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/21.jpg)
Go to Go to page page 7777
![Page 22: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/22.jpg)
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
9
2= 2 ) 9
4 r 1
Put your remainder over the denominator.
= 412
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
![Page 23: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/23.jpg)
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
11
5= 5 ) 11
2 r 1
Put your remainder over the denominator.
= 215
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
![Page 24: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/24.jpg)
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
10
5= 5 ) 10
2
If there is no remainderyour answer is a wholenumber.
= 2
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
![Page 25: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/25.jpg)
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
16
4= 4 ) 16
4
If there is no remainderyour answer is a wholenumber.
= 4
Change this improper fraction Change this improper fraction to a mixed number.to a mixed number.
![Page 26: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/26.jpg)
Go to Go to page page 7878
![Page 27: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/27.jpg)
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
3 25x
+=175
![Page 28: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/28.jpg)
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
4 34x
+=194
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
![Page 29: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/29.jpg)
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
6 23x
+=203
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
![Page 30: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/30.jpg)
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
Multiply the whole Multiply the whole number times the number times the denominator.denominator.
Add your answer to Add your answer to the numerator.the numerator.
Put your new number Put your new number over the denominator.over the denominator.
8 35x
+=435
Change this mixed number to Change this mixed number to an improper fractionan improper fraction
![Page 31: 2-5 Improper Fractions & Mixed Numbers. A proper fraction has a numerator that is less than its denominator. 3 4 1 2 3 8 proper fraction.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649f385503460f94c54ccf/html5/thumbnails/31.jpg)
Homework TimeHomework Time
Pg 93 2-32 even(20-32 show work)
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