Five-Minute Check (over Lesson 4–1)

Main Idea and Vocabulary

Example 1:Write Equivalent Fractions

Example 2:Write Equivalent Fractions

Example 3:Write Fractions in Simplest Form

Example 4:Express Fractions in Simplest Form

• Express fractions in simplest form.

• equivalent fractions

• simplest form

Write Equivalent Fractions

Replace the ■ with a number so the fractions are equivalent.

■

Answer: 24

Since 13 × 4 = 52, multiply the numerator and denominator by 4.

×4

×4

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

■

A. 25

B. 30

C. 35

D. 40

Replace the ■ with a number so the fractions are equivalent.

Write Equivalent Fractions

Replace the ■ with a number so the fractions are equivalent.

Since 24 ÷ 8 = 3, divide the numerator and denominator by 8.

■

Answer: 5

÷8

÷8

1. A

2. B

3. C

4. D0% 0%0%0%

■

A. 5

B. 6

C. 7

D. 8

Replace the ■ with a number so the fractions are equivalent.

Write Fractions in Simplest Form

Method 1 Divide by common factors.

Write in simplest form.

÷2

÷2

÷7

÷7

A common factor of 14 and 42 is 2.

A common factor of 7 and 21 is 7.

Write Fractions in Simplest Form

Method 2 Divide by the GCF.

factors of 14: 1, 2, 7, 14factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

The GCF of 14 and 42 is 14.

Divide the numerator and denominator by the GCF, 14.

Answer: Since the GCF of 1 and 3 is 1, the fraction is in simplest form.

÷14

÷14

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

Write in simplest form.

A.

B.

C.

D.

The GCF of 16 and 168 is 8.

Express Fractions in Simplest Form

GYMNASTICS Lin practices gymnastics 16 hours each week. There are 168 hours in a week. Express

the fraction in simplest form.

Answer: So, Lin practices gymnastics for or 2 out of every 21 hours of the week.

Mentally divide both the numerator and denominator by 8.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

TRANSPORTATION There are 244 students at Longfellow Elementary School. Of those students, 168 ride a school bus to get to school. Express thefraction in simplest form.

A. B.

C. D.

End of the Lesson

Five-Minute Check (over Lesson 4–1)

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Greatest Common Factor

4-2 Equivalent Fractions

4-9 Ordered Pairs and Functions

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 3

B. 5

C. 7

D. 9

Find the GCF of 15 and 21.

(over Lesson 4-1)

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 30

B. 12

C. 10

D. 6

Find the GCF of 12 and 30.

(over Lesson 4-1)

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 3

B. 5

C. 15

D. 25

Find the GCF of 15 and 75.

(over Lesson 4-1)

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 7

B. 6

C. 3

D. 2

Find the GCF of 12, 42, and 60.

(over Lesson 4-1)

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 6

B. 9

C. 11

D. 18

Find the GCF of 36, 54, and 198.

(over Lesson 4-1)

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 5

B. 10

C. 15

D. 25

Which number can divide into 25, 40, and 100?

(over Lesson 4-1)