Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number...
-
Upload
buddy-webster -
Category
Documents
-
view
217 -
download
1
Transcript of Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number...
![Page 1: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/1.jpg)
Copyright 2014 Scott Storla
Rational Numbers
![Page 2: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/2.jpg)
Copyright 2014 Scott Storla
Vocabulary
Rational number
Proper fraction
Improper fraction
Mixed number
Prime number
Composite number
Prime factorization
Reciprocal
![Page 3: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/3.jpg)
Copyright 2014 Scott Storla
The Rational Numbers
![Page 4: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/4.jpg)
Copyright 2014 Scott Storla
![Page 5: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/5.jpg)
Copyright 2014 Scott Storla
Irrational NumbersThe real numbers which are not rational.
3 14159265358979. ...
22
73 14158. ...
355
1133 1415929. ...
104348
332153 1415926539. ...
Trying to find a rational number that’s equal to pi.
![Page 6: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/6.jpg)
Copyright 2014 Scott Storla
Fractions
![Page 7: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/7.jpg)
Copyright 2014 Scott Storla
Proper Fraction
In a proper fraction the numerator (top) is less than the denominator (bottom).
2
3
The value of a proper fraction will always be between 0 (inclusive) and 1 (exclusive).
![Page 8: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/8.jpg)
Copyright 2014 Scott Storla
Improper Fraction
In an improper fraction the numerator (top) is greater than or equal to the denominator (bottom).
3
2
The value of an improper fraction is greater than or equal to 1.
![Page 9: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/9.jpg)
Copyright 2014 Scott Storla
Prime Factorization
![Page 10: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/10.jpg)
Copyright 2014 Scott Storla
Prime Number
A natural number,
greater than 1,
which has unique natural number factors 1 and itself.
Ex: 2, 3, 5, 7, 11, 13
![Page 11: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/11.jpg)
Copyright 2014 Scott Storla
Composite Number
A natural number,
greater than 1,
which is not prime.
Ex: 4, 6, 8, 9, 10
![Page 12: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/12.jpg)
Copyright 2014 Scott Storla
Prime Factorization
I have prime factored a composite number when
the number is written as the product of prime factors.
We say 2 2 3 is the prime factorization of 12
since the factors 2 and 3 are prime.
We don't consider 2 6 a prime factorization of 12
because 6 is not prime.
![Page 13: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/13.jpg)
Copyright 2014 Scott Storla
Prime Factorization
To write a natural number as the product of prime factors.
Ex: 12 = 2 x 2 x 3
![Page 14: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/14.jpg)
Copyright 2014 Scott Storla
Factor Rules
![Page 15: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/15.jpg)
Copyright 2014 Scott Storla
Decide if 2, 3, and/or 5 is a factor of
42
310
987
4950
![Page 16: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/16.jpg)
Copyright 2014 Scott Storla
List all positive integers between 51 and 61 inclusive.
List all prime numbers between 51 and 61 inclusive.
List all rational numbers with denominators of 1 between 110 and 120 inclusive.
List all prime numbers between 110 and 120 inclusive.
List all natural numbers between 31 and 40 inclusive.
List all prime numbers between 31 and 40 inclusive.
![Page 17: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/17.jpg)
Copyright 2014 Scott Storla
Building a factor tree for 20
The prime factorization of 20 is 2 x 2 x 5.
20
45
22
![Page 18: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/18.jpg)
Copyright 2014 Scott Storla
Property – The Commutative Property of Multiplication
English: The order of the factors doesn’t affect the product.
Example: 2 4 4 2
Note: Division is not commutative. For instance 4 2 2 4 .
5 2 3 2 2 2 3 5
![Page 19: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/19.jpg)
Copyright 2014 Scott Storla
The Fundamental Theorem of Arithmetic
Every natural number, greater than 1, has a unique prime factorization.
Example: 20 5 4 2 10 2 2 5
![Page 20: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/20.jpg)
Copyright 2014 Scott Storla
Procedure – To Prime Factor a Natural Number
1. Build a factor tree using the factor rules for 2,3,and 5.
2. After step 1 divide uncircled factors by the prime numbers beginning with 7 up to the square root of the number.
3. Write your prime factors in order from smallest to largest.
![Page 21: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/21.jpg)
Copyright 2014 Scott Storla
The prime factorization of 24 is 2 x 2 x 2 x 3.
24
2 12
Find the prime factorization of 24
2 6
2 3
![Page 22: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/22.jpg)
Copyright 2014 Scott Storla
The prime factorization of 315 is 3 x 3 x 5 x 7.
315
5 63
Find the prime factorization of 315
3 21
7 3
![Page 23: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/23.jpg)
Copyright 2014 Scott Storla
The prime factorization of 119 is 7 x 17.
119
7 17
Find the prime factorization of 119
![Page 24: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/24.jpg)
Copyright 2014 Scott Storla
The prime factorization of 495 is 3 x 3 x 5 x 11.
495
5 99
Find the prime factorization of 495
9 11
3 3
![Page 25: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/25.jpg)
Copyright 2014 Scott Storla
Prime Factorization
![Page 26: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/26.jpg)
Copyright 2014 Scott Storla
Reducing Fractions
![Page 27: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/27.jpg)
Copyright 2014 Scott Storla
Property – The Associative Property of Multiplication
English: The grouping of the factors doesn’t affect the product.
Example: 2 3 4 2 3 4
Note: Division is not associative. For instance 8 4 2 8 4 2 .
Property – The Multiplicative Identity
English: 1 is the multiplicative identity. Multiplying an expression by
one results in an equivalent expression.
Example:
3 31
4 4
![Page 28: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/28.jpg)
Copyright 2014 Scott Storla
Reducing Fractions
A fraction is reduced when the numerator and denominator have no common factors other than 1.
6
10
2 3
2 5
3
15
3
5
32
2 5
5
2
2
3
![Page 29: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/29.jpg)
Copyright 2014 Scott Storla
Reducing Fractions
A fraction is reduced when the numerator and denominator have no common factors other than 1.
6
10
2 3
2 5
3
5
6
12
2 3
2 2 3
1
1
2
2 3
2 5 3
15
1
![Page 30: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/30.jpg)
Copyright 2014 Scott Storla
Procedure – Reducing Fractions
1. Prime factor the numerator and denominator.
2. Reduce common factors.
3. Find the product of the factors in the numerator and the product of the factors in the denominator.
No “Gozinta” method allowed
![Page 31: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/31.jpg)
Copyright 2014 Scott Storla
No “Gozinta” (Goes into) method allowed
84
210
42
105
14
35
2
5
2
5
![Page 32: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/32.jpg)
Copyright 2014 Scott Storla
No “Gozinta” (Goes into) method allowed
2
2
2
3 2
x x
x x
1x
1x
![Page 33: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/33.jpg)
Copyright 2014 Scott Storla
Simplify using prime factorization
18 2 3 3
24 2 2 2 3
2 3 3
2 3 2 2
31 1
2 2
3
4
18
24
2 3 3
2 2 2 3
3
4
![Page 34: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/34.jpg)
Copyright 2014 Scott Storla
18
24
2 3 3
2 2 2 3
3
4
Simplify using prime factorization
![Page 35: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/35.jpg)
Copyright 2014 Scott Storla
90
63
2 3 3 5
3 3 7
10
7
Simplify using prime factorization
![Page 36: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/36.jpg)
Copyright 2014 Scott Storla
120
45 2 2 2 3 5
3 3 5
8
3
Reduce using prime factorization
![Page 37: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/37.jpg)
Copyright 2014 Scott Storla
126
234
2 3 3 7
2 3 3 13
7
13
Reduce using prime factorization
![Page 38: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/38.jpg)
Copyright 2014 Scott Storla
168
315
2 2 2 3 7
3 3 5 7
8
15
Reduce using prime factorization
![Page 39: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/39.jpg)
Copyright 2014 Scott Storla
Reducing Fractions
![Page 40: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/40.jpg)
Copyright 2014 Scott Storla
Multiplying Fractions
![Page 41: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/41.jpg)
Copyright 2014 Scott Storla
using prime factorizationMultiply
51 1 1
14
2
2
6 25
15 28
5
14
3 5
5 5 2 32 2 7
3
3
5
5 5
2 7
6 25
15 28 150
420
![Page 42: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/42.jpg)
Copyright 2014 Scott Storla
Procedure – Multiplying Fractions
1. Combine all the numerators, in prime factored form, in a single numerator.
2. Combine all the denominators, in prime factored form, in a single denominator.
3. Reduce common factors
4. Multiply the remaining factors in the numerator together and the remaining factors in the denominator together.
![Page 43: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/43.jpg)
Copyright 2014 Scott Storla
6 25
15 28
2 3 5 5
3 5 2 2 7
5
14
Multiply using prime factorization
![Page 44: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/44.jpg)
Copyright 2014 Scott Storla
5 5
253 3
3 5 15 69 25
Multiply using prime factorization
2 3
![Page 45: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/45.jpg)
Copyright 2014 Scott Storla
3 7 2 2 7 2 3 5 18 5 7
21 28 30 2 3 3 5 7 1
28
Multiply using prime factorization
![Page 46: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/46.jpg)
Copyright 2014 Scott Storla
1 3 2 3 5 1 7 5
2 7 7 2 3
3 30 35
2 49 6
75
14
Multiply using prime factorization
3 30 55
2 49 6
5514
![Page 47: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/47.jpg)
Copyright 2014 Scott Storla
Dividing Fractions
![Page 48: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/48.jpg)
Copyright 2014 Scott Storla
Reciprocal
The reciprocal of a number is a second number which when multiplied to the first gives a product of 1.
The reciprocal of is because
7 11
1 7
3 21
2 3
3
2 2
3
The reciprocal of is because 7 1
7
![Page 49: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/49.jpg)
Copyright 2014 Scott Storla
3
10
10
3
10
310
3
1
Procedure – Dividing Fractions
1. To divide two fractions multiply the fraction in the numerator by the reciprocal of the fraction in the denominator.
6
53
10
2 3 2 5
5 3
6 105 3
1
6
5
10
3 4
![Page 50: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/50.jpg)
Copyright 2014 Scott Storla
Procedure – Dividing Fractions
1. To divide two fractions multiply the fraction in the numerator by the reciprocal of the fraction in the denominator.
6
53
10
6 10
5 3
2 3 2 55 3
4
![Page 51: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/51.jpg)
Copyright 2014 Scott Storla
10181524
2 5 1 2 2 2 3
2 3 3 3 5
8
9
Divide using prime factorization
10 24
18 15
![Page 52: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/52.jpg)
Copyright 2014 Scott Storla
355014
7 5
2 5 5 2 7
1
20
Divide using prime factorization
35 1
50 14
14
1
![Page 53: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/53.jpg)
Copyright 2014 Scott Storla
1216
9
1 2 2 2 2 3 3
2 2 3
12
Divide using prime factorization
16 9
1 12
1
16
![Page 54: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/54.jpg)
Copyright 2014 Scott Storla
59
143
21
15 7 3
3 3 2 7
1
6
Divide using prime factorization
5 3 73 3 3 5
143
79
143
7 3
9 14
6115
![Page 55: Copyright 2014 Scott Storla Rational Numbers. Copyright 2014 Scott Storla Vocabulary Rational number Proper fraction Improper fraction Mixed number Prime.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649ccf5503460f9499b3c1/html5/thumbnails/55.jpg)
Copyright 2014 Scott Storla
Dividing Fractions