1. Simplifying Fractions
COURSE 2 LESSON 3-5
Write in simplest form. 18 30
Divide the numerator and denominator by a common factor.
18 ÷ 3
30 ÷ 3 = 6 10
If necessary, divide again by another common factor.
6 ÷ 2
10 ÷ 2 3 5 =
In simplest form, is . 18 30 3 5
3-5

2. Equivalent Forms of Rational Numbers
COURSE 3 LESSON 4-2
Equivalent Forms of Rational Numbers
Write in simplest form using the GCF.
138
150
The GCF of 138 and 150 is 6.
Divide the numerator and the denominator by the GCF.
138
150
138 ÷ 6
150 ÷ 6 =
Simplify. The numbers 23 and 25 are relatively prime. = 23 25
4-2

3. Equivalent Forms of Rational Numbers
COURSE 3 LESSON 4-2
Equivalent Forms of Rational Numbers
Write in simplest form using prime factorization. 60
126
Write the prime factorizations of the numerator and denominator. 60
126
2 • 2 • 3 • 5
2 • 3 • 3 • 7 =
Divide the common factors.
2 • 2 • 3 • 5
2 • 3 • 3 • 7 1 =
Simplify. 10 21 =
4-2

4. Simplifying Fractions
COURSE 2 LESSON 3-5
There are 28 students in Mai’s homeroom. Of these, 20 students have a pet. What fraction of the students have a pet? Write your answer in simplest form.
Divide both numerator and denominator by the GCF, 4. 20 28 5 7 =
20 ÷ 4
28 ÷ 4
The fraction of students that have a pet is . 5 7
3-5

5. Simplifying Fractions
COURSE 2 LESSON 3-5
Simplify.
1. 2.
3. 4. 20 35 18 42 4 7 3 7 20 75 30 48 4 15 5 8
3-5