Warm-up Problems

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 5

B. 6

C. 7

D. 9

Solve the problem by making an organized list.A pizzeria offers pizza with pepperoni, sausage, or ham with thick or thin crust. How many different kinds of pizza can be made if you choose one meat and one type of crust?

(over Lesson 4-3)

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 4-3)

A. 24

B. 16

C. 18

D. 8

Solve the problem by making an organized list.In how many ways can four friends sit in a row at a basketball game?

Main Idea and Vocabulary

Example 1:Write a Fraction in Simplest Form

Example 2:Write a Fraction in Simplest Form

• equivalent fractions-fractions that have the same value.

• simplest form-when the GCF of the fraction’s numerator and denominator is 1.

• Write fractions in simplest form (2.1.8A) (M7.A.1.1)

• Greatest Common Factor (GCF)-the greatest of common factors of 2 or more numbers.

REVIEW OF GCF

Factors of 18 Factors of 48

1 4 9 2 8 12 18 3 16 24 6 48

How can you tell from looking at the diagram what the GCF of 18 and 48 is? 6

Fractions

What is true about the following fractions?

8

4,6

3,4

2,2

1

They are equal.

Name another equivalent fractions.

Write a Fraction in Simplest Form

Method 1 Divide by common factors.

3 is a common factor of 12 and 45, so divide by 3.

The fraction is in simplest form since 4 and 15 have

no common factors greater than 1.

Write a Fraction in Simplest Form

Method 2 Divide by the GCF.

First, find the GCF of the numerator and denominator.

factors of 12: 1, 2, 3, 4, 6, 12

factors of 45: 1, 3, 5, 9, 15, 45

Answer:

The GCF of 12 and 45 is 3.

Then, divide the numerator and the denominator by the GCF.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A.

B.

C.

D.

Write a Fraction in Simplest Form

First, find the GCF of the numerator and denominator.

Answer:

40 = 2 ● 2 ● 2 ● 5

64 = 2 ● 2 ● 2 ● 2 ● 2 ● 2

Then, divide the numerator and denominator by the GCF, 8.

The GCF of 40 and 64 is 2 ● 2 ● 2 or 8.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A.

B.

C.

D.

GUIDED PRACTICE

Write each fraction in simplest form.

1.

2.

3.

4.

9

3

18

4

25

10

40

36

3

1

9

2

5

2

10

9

End of the Lesson

Five-Minute Check (over Lesson 4–3)

Image Bank

Math Tools

Percents

Prime Factorization