Five-Minute Check (over Lesson 9–3)

Main Idea and Vocabulary

Example 1:Simplest Form

Example 2:Simplest Form

• I will write a fraction in simplest form.

• simplest form

Simplest Form

Xiang had a ribbon 24 inches long. Urmi had a

ribbon 36 inches long. Xiang’s ribbon is the

length of Urmi’s ribbon. Write in simplest form.

2436

2436

Step 1 Find the GCF of the numerator and denominator.

factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The GCF of 24 and 36 is 12.

Simplest Form

36 ÷ 12

Step 2 Divide both the numerator and the denominator by the GCF. Dividing both the numerator and the denominator by the same number is equivalent to dividing by one. The appearance of the fraction changes, not its value.

2436

=24 ÷ 12

=23

Answer: So, Xiang’s ribbon is the length of

Urmi’s ribbon.

23

The GCF of 2 and 3 is 1.

Simplest Form

You can see from the models below that = .2436

23

2436

23

1. A

2. B

3. C

4. D0% 0%0%0%

A. 23

B. 34

C. 67

D. 78

Which number shows in simplest form?4856

Simplest Form

Write in simplest form.2028

One Way: Divide by Common Factors

2028

=20 ÷ 228 ÷ 2

1014

=Divide 20 and 28 by the common factor 2.

1014

=10 ÷ 214 ÷ 2

57

=Divide 10 and 14 by the common factor 2.

Since 5 and 7 have no common factors other than 1, stop dividing.

Simplest Form

Write in simplest form.2028

Another Way: Divide by the GCF

factors of 20: 1, 2, 4, 5, 10, 20factors of 28: 1, 2, 4, 7, 14, 28

The GCF of 20 and 28 is 4.2028

=20 ÷ 428 ÷ 4 = 5

7Divide by the GCF 4.

Simplest Form

Answer: Using either method, written in

simplest form is .

2028

57

Check You can see from the models below

that = .2028

57

2028

57

1. A

2. B

3. C

4. D0% 0%0%0%

A. 13

B. 39

C. 79

D. 34

Write in simplest form.2163

End of the Lesson

Five-Minute Check (over Lesson 9–3)

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Compare Fractions

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 9–3)

B. ,410

615

A. ,820

210

C. ,1640

1840

D. ,34

12

Which two fractions are equivalent to ?25

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 9–3)

A. ,1224

1836

B. ,1872

3057

D. ,1242

4896

C. ,13

34

Which two fractions are equivalent to ?612

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 9–3)

C. =3

1515

Find the number for that makes the fractions

= equivalent.15 15

A. =5

1515

D. =4

1515

B. =15

35

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 9–3)

D. =1015

23

C. =5

1523

Find the number for that makes the fractions

= equivalent.23 15

A. =4

1523

B. =23

78