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Comparing Fractions
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100

Partition the tape diagram to show 3 x 2/4. Partition the number line to show 6 x 2/8

include labels: 3 parts need to be as 2/4 and 6 parts of 1/4

include labels: 6 parts need to be as 2/8 and 12 parts of 1/8

100

27/5 ____ 6

<

100

5  1/12 + 3  8/12 + 1  9/12

10 and 6/12

100

6  3/6 - 3  5/6

2 and 4/6

100

11 x 5/6

9 and 1/6

200

Determine if the following are true or false. Explain how you know using models or words. Make false problems true by rewriting the right side of the number sentence: 7/8 + 7/8 + 7/8 + 7/8 = 4 x 7/8

True

200

34/6 _____ 5 and 5/6

<

200

Determine if the following are true or false. Explain how you know using models or words. Make false problems true by rewriting the right side of the number sentence. 4/5 = 4+1/5

False-4/5=3/5+1/5

200

1  9/12 - 1  4/12

5/12

200

Rewrite each as a product of a unit fraction and solve the answer. 4 x 3/5

12 x 1/5 

2 and 2/5

300

Use models to explain why 2 x 3/4 is less than 9 x 1/4 (number lines, tape diagram, or area models)

models need to be labeled

300

44/10 _____ 22/5

=

300

Determine if the following are true or false. Explain how you know using models or words. Make false problems true by rewriting the right side of the number sentence. 6+4/7=6 and 4/7

True

300

5 2/5 - 1 3/5

3  4/5

300

6 x 7 and 5/7

46 and 2/7  

400

Determine if the following are true or false. Explain how you know using models or words. Make false problems true by rewriting the number sentence (no repeating). 15/3 - 4/3 = 15 - 3 4/3

False because____________________________. 15/3 - 4/3 = 15 - 12 2/3

400

Natasha’s sculpture was 5 and 3/16 inches tall. Maya’s was 4 times as tall. How much shorter was Natasha’s sculpture than Maya’s? RDW

Need to draw tape diagram. Natasha's Sculpture was 15 and 9/16 inches shorter than Maya's. 

400

Determine if the following are true or false. Explain how you know using models or words. Make false problems true by rewriting the right side of the number sentence. 3 x 4 and 2/7=12 + 2/7

False 3x 4and2/7 = 12+6/7

400

4/8-2/8

2/8

400

Six of the players on the team weigh over 200 pounds. Doctors recommend that players of this weight drink at least 3 3/4 quarts of water each day. At least how much water should be consumed per day by all 6
players? RDW

Tape diagram is needed. At least 22 2/4 quarts of water should be consumed per day by all 6 players.