Download Math 7 Ch 4.1 - 4.3 Review p173

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4.1 TO
4. 3
Notebook Review
Check Your Definitions
Review the
vocabulary
definitions in
your notebook.
Copy the review
examples in
your notebook.
Then complete
the exercises.
common factor, p. 164
greatest common factor
(GCF), p. 164
relatively prime, p. 165
fraction, p. 169
numerator, p. 169
prime number, p. 157
composite number,
p. 157
prime factorization,
p. 158
factor tree, p. 158
denominator, p. 169
equivalent fractions,
p. 169
simplest form, p. 170
Use Your Vocabulary
Tell whether the statement is true or false.
1. The numerator and denominator of a fraction in simplest form are
relatively prime.
2. A prime number is a whole number greater than 1 whose only whole
number factors are 1 and itself.
4.1–4.2 Can you find the GCF using prime factorization?
EXAMPLE Use a factor tree to write the prime factorization of 72 and
84. Then find the greatest common factor of 72 and 84.
84
72
8
4 21
9
2 4 3 3
2 2 3 7
2 2 2 3 3
72 2 2 2 3 3 23 32
84 2 2 3 7 22 3 7
ANSWER The common prime factors of 72 and 84 are 2, 2, and 3. So,
the greatest common factor is 22 3 12.
✓ Find the greatest common factor of the numbers using prime
factorization.
3. 18, 32
4. 16, 49
5. 90, 135
Lessons 4.1–4.3
6. 96, 112
Notebook Review
173
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4.3 Can you tell whether fractions are equivalent?
36
42
48
64
EXAMPLE Write and in simplest form. Tell whether
they are equivalent.
1
1
36
6
6p6
42
7p61 7
6
7
48
3
3 p 16
64
4 p 16 1 4
3 36
4 42
48
64
ANSWER Because , and are not equivalent fractions.
✓
Write the fractions in simplest form. Tell whether they
are equivalent.
6 9
7. , 10 15
6 4
8. , 15 16
14 10
9. , 22 35
15 25
10. , 33 55
about Lessons 4.1–4.3
11. Writing Describe two different ways you can find the greatest
common factor of 45 and 56.
Review Quiz 1
Tell whether the number is prime or composite. Explain your reasoning.
1. 75
2. 53
3. 61
4. 98
5. Quilt Squares You are making a quilt. You made 36 squares to be sewn
together. How many different rectangular arrangements can you make?
Find the greatest common factor of the numbers using prime
factorization. Then tell whether the numbers are relatively prime.
6. 12, 30
7. 10, 21
8. 28, 50
9. 117, 195
Write the fractions in simplest form. Tell whether they are equivalent.
15 45
10. , 28 84
7 12
11. , 56 84
27 36
12. , 72 90
45 81
13. , 75 180
14. Critical Thinking A number is a common factor of 96 and 144.
The sum of the number’s digits is 7. Find the number.
174
Chapter 4
Number Patterns and Fractions