simplification of fractions and operations on fractions
DESCRIPTION
Simplification of Fractions and Operations on FractionsTRANSCRIPT
![Page 1: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/1.jpg)
Review on Fractions
Simplification of Fractions/ Operations on Fractions
![Page 2: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/2.jpg)
Simplifying 10
40
=104
101
104
101 =4
14=
10 = Greatest Common Factor
Write the numerator and denominator as a product of factors, then cancel common factors and obtain the result.
Reduce
![Page 3: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/3.jpg)
Simplifying 72
16
=44
184 =418
=
Write the numerator and denominator as a product of common factors then cancel the common factors and obtain the result.
44
184
22
92 =
22
92 29
Repeat the simplification process until all common factors are removed.
![Page 4: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/4.jpg)
Converting Mixed Numbers
153
+= 16
3
15333
Multiply the whole number by the denominator
Add the numerator to the result
Compute the final result
Place over the initial denominator
![Page 5: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/5.jpg)
Converting Mixed Numbers
269
+= 56
9
26999
Multiply the whole number by the denominator
Add the numerator to the result
Compute the final result
Place over the initial denominator
![Page 6: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/6.jpg)
Multiplying
11
10
8
3 =
3 108 11 =
3
4
2 52 11 =
15
44
Fraction Multiplicationbd
ac
d
c
b
a
Fraction Simplification
![Page 7: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/7.jpg)
Multiplying
4
15
3
2 =
2 153 4 =
2
3
3 52 2 =
5
2
Fraction Multiplicationbd
ac
d
c
b
a
Fraction Simplification
![Page 8: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/8.jpg)
Dividing
512
7
3
= ==5
12 3
73 4
573
285
c
d
b
a
d
c
b
a Fraction Division
Fraction Simplification and Multiplication
![Page 9: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/9.jpg)
Dividing
524
15
8
=
=
=5
24 8
153 8
5
91
c
d
b
a
d
c
b
a Fraction Division
Fraction Simplification
54 8
154 =
Mixed Number Conversion
3 58
= 9
Fraction Multiplication
![Page 10: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/10.jpg)
Adding/Subtracting
38 8
138 4
1= =-- 18
882=
c
ba
c
b
c
a Fraction Addition/Subtraction
Fraction Simplification
![Page 11: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/11.jpg)
Adding/Subtracting
2811 2
7+ ++
=
==
Common Denominator = ??????
28
2811
7
244
2811
288
28+11 8 =
2819
c
ba
c
b
c
a Fraction Addition/Subtraction
???728
211
![Page 12: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/12.jpg)
Rules of Fractions Review
• Fraction Simplification
• Mixed Number Conversion
• Fraction Multiplication
• Fraction Division
• Fraction Addition/Subtraction
![Page 13: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/13.jpg)
YOU TRY IT
4
1
8
32
15
4
9
5
15
12
2
3
3
4
12
5
218
165
1345
65
![Page 14: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/14.jpg)
Fractions: Steps for Success
1. Know the fraction rules and how to apply them
2. Show your work and write out each step
3. Check your work for errors or careless mistakes
![Page 15: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/15.jpg)
4
1
8
32 = +19
814
= +198
28
= 218
Mixed Number Conversion
Fraction Addition
Fraction Addition
![Page 16: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/16.jpg)
15
4
9
5 = -25
451245
= 1345
Fraction Subtraction
Fraction Subtraction
![Page 17: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/17.jpg)
15
12
2
3 Fraction Simplification= 3
23
43 5
= 3 2
4 5
= 3 2
2 5
2
3 1
=2
5
=6
5
Fraction Simplification
Fraction Simplification
Fraction Simplification
Fraction Multiplication
![Page 18: Simplification of Fractions and Operations on Fractions](https://reader035.vdocuments.net/reader035/viewer/2022081717/54be44924a7959e0278b4569/html5/thumbnails/18.jpg)
3
4
12
5
= 35
434
=35412
Fraction Simplification
Fraction Simplification
Fraction Division
=54
41
=165
Fraction Multiplication