Five-Minute Check (over Lesson 9–8)

Main Idea and Vocabulary

Example 1:Compare Fractions

Example 2:Compare Fractions Using the LCD

Example 3:Real-World Example

Compare Fractions

• I will compare fractions using common denominators.

• common denominator

• least common denominator (LCD)

Compare Fractions

Compare and using models and the least

common denominator.

23

24

The models show that > .23

24

Compare Fractions

Step 1 Find the LCM of the denominators. The LCM of 3 and 4 is 12.

Step 2 Find the equivalent fractions with a denominator of 12.

23

812= THINK 3 × 4 = 12, 2 × 4 = 8

24

612= THINK 4 × 3 = 12, 2 × 3 = 6

Compare Fractions

Step 3 Compare the numerators. Since 8 > 6, then

> .8

126

12

Answer: So, > .23

24

1. A

2. B

3. C

A.

B.

C. 0% 0%0%

Compare Fractions Using the LCD

Compare and using models and the least

common denominator.

34

78

Step 1 Find the LCM of the denominators. The LCM of 4 and 8 is 8. Note that multiplying 4 by 8 gives a common denominator of 32, which is not the LCD, 8.

Compare Fractions Using the LCD

Step 2 Find an equivalent fraction with a denominator of 8 for each fraction.34 = THINK 4 × 2 = 8, 3 × 2 = 6

78 = THINK 8 × 1 = 8, 7 × 1 = 7

68

78

Step 3 Compare the numerators. Since 6 < 7, then

< .68

78

Answer: So, < .34

78

1. A

2. B

3. C

A.

B.

C.0% 0%0%

Idalia made 1 out of 2 baskets and Susan made 3 out of 5 baskets. Who made a greater fraction of baskets?

The models show that < .12

35

Step 1 Find the LCM of the denominators. The LCM of 2 and 5 is 10.

Step 2 Find an equivalent fraction with a denominator of 10 for each fraction.

12

510= THINK 2 × 5 = 10, 1 × 5 = 5

35

610= THINK 5 × 2 = 10, 3 × 2 = 6

Step 3 Compare the numerators. Since 5 < 6, then

< .5

106

10

Answer: So, < . Susan made a greater fraction

of baskets.

12

35

1. A

2. B

3. C

A. Patricia

B. Merlin

C. They both ate the same amount.

Patricia ate 4 out of 9 apples. Merlin ate 2 out of 4 apples. Who ate a larger fraction of apples?

0% 0%0%

End of the Lesson

Five-Minute Check (over Lesson 9–8)

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Compare Fractions

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 9–8)

A. 2 hours 15 minutes

B. 2 hours 45 minutes

C. 3 hours 30 minutes

D. 4 hours 15 minutes

Use any strategy to solve. Haloke practiced the trumpet for 1 hour on Monday. He decides to increase his practice time by 15 minutes each day. How long will he practice on the sixth day?