Fractions Review

Decomposing Fractions

100

3/8 decomposed

1/8+1/8+1/8  OR  2/8+1/8

200

4/6 decomposed

1/6 + 1/6 + 1/6 + 1/6   OR    3/6 + 1/6   OR         2/6 + 2/6

300

List 2 ways to decompose 5/10 

1) 1/10 + 1/10 + 1/10 + 1/10 + 1/10

2) 3/10 + 2/10

3) 4/10 + 1/10

400

 Decompose 1 4/10 

1) 10/10 + 1/10 + 1/10 + 1/10 + 1/10 

2) 10/10 + 2/10 + 2/10 

3) 10/10 + 1/10 + 3/10

500

Owen bought a pizza to share with three friends. He keeps 1/8 for himself. What are at least 2 different ways the pizza can be shared with his three friends? Decompose the fraction to show how the pizza can be shared. 

 Owen keeps 1/8 of the pizza. 

1) 3/8 + 2/8 + 2/8

2) 2/8 + 4/8 + 1/8

3) 5/8 + 1/8 + 1/8 

4) 3/8 + 3/8 + 1/8

Equivalent Fractions

100

create an equivalent fraction to 1/3

1) 2/6

2) 3/9 

3) 4/12

4) 5/15

200

Create a fraction equivalent to 2/5

1) 6/15 

2) 8/20

3) 4/10

4) 10/25

5) 12/30 

300

Create a fraction equivalent to 3/4

1) 12/16

2) 9/12

3) 6/8

4) 18/24

5) 15/20

400

Create a fraction equivalent to 25/30. 

1) 5/6

2) 15/18

3) 10/12

4) 30/36

5) 20/24

500

Create 2 fractions equivalent to 6/12. 

1) 1/2

2) 2/4

3) 3/6

4) 12/24

5) 18/36

Mixed to Improper

100

Change 2 3/5 to an improper fraction. 

13/5

200

Change 7 4/10 to an improper fraction. 

74/10

300

Change 10 3/4 to an improper fraction. 

43/4

400

Change 12 5/9 to an improper fraction. 

113/9

500

Kayden and her family went on vacation over Thanksgiving break. Their first flight was 2 1/4 hours long. Their second flight was 2 2/4 hours long. How many hours did Kayden and her family fly altogether? 

4 3/4 hours

Improper to Mixed

100

Change 5/3 into a mixed number. 

1 2/3

200

Change 12/10 into a mixed number. 

1 2/10

300

Change 47/12 into a mixed number. 

3 11/12

400

Change 18/6 into a mixed number. 

3

500

Why do we change improper fractions to mixed numbers? 

Fractions must be written with the numerator smaller than the denominator. ("Im" means not). You can't have a numerator larger than the denominator because the denominator represents the whole and the numerator represents the part. 

+/- Mixed Numbers

100

3 4/7 - 2 3/7= 

1 1/7

200

4 5/6 -3 2/6= 

1 3/6 

300

1 2/3 + 4 1/3= 

5 3/3 = 6

400

Solve the word problem: 

Makayla had a rope that she cut into two pieces. The first piece was 2 3/8 inches long. The second was 3 4/8 inches long. How long was the rope before Makayla cut it? 

5 7/8 inches 

500

Solve the word problem: 

Miller ran 2 4/5 miles and jogged 2 3/5 miles. How much farther did Miller run than jog?

1/5 of a mile.