Eureka Mid Module 5

Decomposing Fractions

100

Decompose 3/4 as the sum of unit fractions. Model with a tape diagram and write a number sentence.

3/4 = 1/4 + 1/4 + 1/4

200

Decompose 1 as the sum of the unit fraction 1/4. Model with a tape diagram and write a number sentence.

1 = 1/4 + 1/4 + 1/4 + 1/4 

300

Decompose 2/4 as the sum of unit fractions. Model with a tape diagram and write a number sentence.

2/4 = 1/4 + 1/4

400

Decompose 5/4 as the sum of unit fractions including a whole number. Model with a tape diagram and write a number sentence.

Bonus: Write a number sentence with whole numbers and unit fractions

5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 

Bonus: 5/4 = 1 + 1/4 

500

Write 1 = 1/4 + 1/4 + 1/4 + 1/4 with only two addends. Then, write it as a multiplication sentence. 

1 = 2/4 + 2/4  OR  1 = 1/4 + 3/4

1 = 4 x 1/4

Equivalent Fractions

100

Explain! 1/4 = 2/8

_{HINT: What you do to the top you MUST do to the bottom!}

1/4 x 2/2 = 2/8

200

True or False?

2/4 = 3/6

2/4 divided by 2 = 1/2

3/6 divided by 3 = 1/2

1/2 = 1/2 

300

True or False?

2/4 = 9/18

3/6 divided by 3 = 1/2

4/8 divided by 4 = 1/2

1/2 = 1/2

400

True or false?

2/3 = 4/9

FALSE

500

True or False??

7/9 = 10/12

False 

Fraction Comparison

100

6/5 ___ 4/5

6/5  >  4/5

200

5/8 ___ 5/10

5/8 > 5/10

300

5/5 ___ 12/12

5/5  =  12/12

400

5/12 ___ 6/10

5/12  <  6/10

*** 6/10 is greater than 1/2 and 5/12 is less than 1/2***

500

12/8 ___ 11/6

12/8  <  11/6

1 4/8 <  1 5/6

Fraction Addition

100

5/12 + 6/12 =

5/12 + 6/12 = 11/12

200

Ray, Robin, and Freddy went fishing. They had identical containers of worms. Ray used 3/8 container. Robin used 6/8 container, and Freddy used 7/8 container. How many total containers did they use?

16/8 containers

2 containers

300

8/12 + ___ = 1

4/12

400

3/10 + 6/10 + 2/10 = 

Bonus: Convert to a mixed number. 

11/10

Bonus: 1 1/10

500

Ray, Robin, and Freddy went fishing. They spent 1/6 of their money on water, 4/6 of their money on lunch, and the rest on worms. What fraction of their money was spent on worms? Draw a model and write an equation to solve.  

1/6 

Fraction Subtraction

100

7/8 - 3/8 =

7/8 - 3/8 = 3/4

200

53/100 - 27/100 =

53/100 - 27/100 = 26/100

300

1 - 5/8 = 

8/8 - 5/8 = 3/8

400

1 3/4 - 5/4 = 

7/4 - 5/4 = 2/4

500

Robin noticed her water bottle was 1/2 full and Freddy's was 3/4 full. Robin said, "My 1/2 full bottle has more water than your 3/4 full bottle." Explain how this can be true. 

If Robin's water bottle was bigger than Freddy's, then half of her water bottle could be more than 3/4 of his.