1. Warm Ups Preview 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

2. 3-1 Prime Factorization
Warm Up
Write each number as a product of two whole numbers in as many ways as possible.
1. 6
2. 16
3. 17
4. 36
1  6, 2  3
1  16, 2  8, 4  4
1  17
1  36, 2  18, 3  12, 4  9, 6  6

3. Write the prime factorization of each number.
3-2 Greatest Common Divisor
Warm Up
Write the prime factorization of each number.
1. 20
2. 100
3. 30
4. 128
5. 70
22  5
22  52
2  3  5 27
2  5  7

4. Write the prime factorization of each number. 1. 68 2. 225 3. 940
3-3 Least Common Multiple
Warm Up
Write the prime factorization of each number.
1. 68
2. 225
3. 940
Find the greatest common divisor.
4. 27 and 45
5. 32 and 80
22  17
32  52
22  5  47 9 16

5. Name a common factor for each pair. 1. 5 and 10 2. 9 and 12
3-4 Equivalent Fractions and Mixed Numbers
Warm Up
Name a common factor for each pair.
1. 5 and and 12
3. 20 and and 14
5. 6 and and 15
Possible answers: 5 3 4 2 2 1

6. Warm Up 3-5 Equivalent Fractions and Decimals
Write each fraction in the simplest form. 4 12 1 3 18 46 9 23 21 63 1 3
100 72 25 18
or 1 7

7. Write each mixed number as an improper fraction.
3-6 Comparing and Ordering Rational Numbers
Warm Up
Write each mixed number as an improper fraction.
1. 1
3. 1 3 4 7 4 7 8 23 8
2. 2 5 6 11 6 1 12 97 12
4. 8