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3-1 Prime Factorization 3-2 Greatest Common Divisor 3-3 Least Common Multiple 3-4 Equivalent Fractions and Mixed Numbers 3-5 Equivalent Fractions and Decimals 3-6 Comparing and Ordering Rational Number s Preview Preview Lesson Lesson Quizzes Quizzes

3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

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Page 1: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

3-1 Prime Factorization

3-2 Greatest Common Divisor

3-3 Least Common Multiple

3-4 Equivalent Fractions and Mixed Numbers

3-5 Equivalent Fractions and Decimals

3-6 Comparing and Ordering Rational Numbers

PreviewPreview

Lesson QuizzesLesson Quizzes

Page 2: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

Lesson Quiz

Tell whether each number is prime or composite.

1. 23 2. 39 3. 27

compositeprime composite

Write the prime factorization of each number.

4. 27 5. 36

6. 28 7. 132

8. 52 9. 108

22 3233

22 7 22 3 11

22 13 22 33

3-1 Prime Factorization

Page 3: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

Lesson Quiz

Find the greatest common divisor (GCD).

1. 28, 40 2. 24, 56

3. 54, 99 4. 20, 35, 70

84

9 5

5. The math clubs from 3 schools agreed to a competition. Members from each club must be divided into teams, and teams from all clubs must be equally sized. What is the greatest number of members that can be on a team if Georgia has 16 members, Williams has 24 members, and Fulton has 72 members? 8

3-2 Greatest Common Divisor

Page 4: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

Lesson QuizFind the least common multiple (LCM).

1. 18, 21

3. 4, 6, 15

5. You are planning a picnic. You can purchase paper plates in packages of 30, paper napkins in packages of 50, and paper cups in packages of 20. What is the least number of each type of package that you can buy and have an equal number of each?

216126

60 16

2. 24, 27

4. 4, 8, 16

10 packages of plates6 packages of napkins15 packages of cups

3-3 Least Common Multiple

Page 5: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

Lesson Quiz

1. Write two fractions equivalent to .

2. Determine if and are equivalent.

3. Write the fraction in simplest form.

4. Write as a mixed number.

5. Write 4 as an improper fraction.

1224

1648

37

317

18217

8

13

no

12

36

,

5 12

4 10

3-4 Equivalent Fractions and Mixed Numbers

Page 6: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

Lesson Quiz

Write each fraction as a decimal.

1.

3. 4.

Write each decimal as a fraction in simplest form.

5. 0.42

7. If your soccer team wins 21 out of 30 games,

what is your team’s winning rate?

2.6253.2

2150

69 8

165 2.

218

6. 8.625

0.70

710

1120 0.550.7

5 8

or 8

3-5 Equivalent Fractions and Decimals

Page 7: 3-1 Prime FactorizationPrime Factorization 3-2 Greatest Common DivisorGreatest Common Divisor 3-3 Least Common MultipleLeast Common Multiple 3-4 Equivalent

Lesson Quiz

Compare the fractions. Write > or <.

1. 2.

Compare the decimals. Write < or >.

3. 0.32 and 0.312

>

37

and 410

58 and

23

<>

56

0.8, 0.826, 56

4. Order , 0.8, 0.826 from least to greatest.

Graph the numbers on a number line.

0.80 0.81 0.82 0.83 0.84 0.85

0.8 0.82656

3-6 Comparing and Ordering Rational Numbers