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Fraction Investigations Unit 3

Total questions: 50

Worksheet time: 2hrs 21mins

Name
Class
Date
1.
What is the sum of these fractions?
a)
4/5
b)
3/20
c)
17/20
d)
4/20
2.
a)
1/12
b)
1
c)
2/35
d)
23/25
3.
a)
14/16
b)
7/8
c)
8/7
d)
4/10
4.
What is the first step in solving this problem? 
⅘ + ½ =
a)
Add the top parts of the fraction
b)
Rewrite the fractions in the simplest form. 
c)
Find a common denominator. 
d)
Make each fraction into an improper faction. 
5.

Bixby and Alexa are cats. Bixby weighs 4 1/8 kilograms. Their total weight of the cats is 6 7/8 kilograms. How much does Alexa weigh?

a)

2 6/8

b)

1 7/8

c)

3

d)

2 7/8

6.
Two cats, Fluffy and Oreo, met in the Park. Fluffy's tail is 3  and 1/3 of a meter long. Oreo's tail is 2  and 1/4 of a meter long.
How much longer is Fluffy's tail than Oreo's tail?
a)
5  and    7/12
b)
1    and  1/12
c)
1    and  2/7
d)
5 and 1/12
7.
When Leila first weighed her kitten, it weighed 4 and  1/2 pounds. The next time Leila weighed her kitten, it had gained 2  and 1/4 pounds. How much did the kitten weigh?
a)
7 and   3/4 pounds
b)
6   and 3/4 pounds
c)
4 and 1/2 pounds
d)
2  and  1/4 pounds
8.

What is the difference between the longest crayon and the shortest crayon?

a)

7 inches

b)

3 6/8 inches

c)

3 4/8 inches

d)

1/2 inch

9.

7 5/6 - 3 1/12

a)

4 1/6

b)

3 11/12

c)

4 9/12

d)

4 3/4

10.

 2910 +6 13=2\frac{9}{10}\ +6\ \frac{1}{3}=  

a)

 9 7309\ \frac{7}{30}  

b)

 5 495\ \frac{4}{9}  

c)

 6 146\ \frac{1}{4} 

d)

 4 124\ \frac{1}{2}  

11.
Jeremiah finished his homework assignment in 5/6 of an hour. Which fraction is equivalent to 5/6?
a)
10/30
b)
15/30
c)
18/30
d)
25/30
12.
Dante loves to eat cherry pie. He has a choice of 1/4, 1/6, 1/3, or 1/12 of the pie. Which should he choose if he wants the largest piece?
a)
1/12
b)
1/6
c)
1/4
d)
1/3
13.
The fraction 5/8 is equal to 15/24. Which fraction is less than 5/8?
a)
5/6, since 10/24 < 15/24
b)
3/4, since 9/24 < 15/24
c)
2/3, since 16/24 < 15/24
d)
1/2, since 12/24 < 15/24
14.
Which statement is correct?
a)
1/3 < 3/10
b)
2/3 < 6/9
c)
6/9 < 2/3
d)
4/8 < 3/5
15.
Angel M. has 1 sandwich in her lunch box. She gives 1/4 of the sandwich to Paisley. What fraction of her sandwich does Angel have left?
a)
1/4 sandwich
b)
3/4 sandwich
c)
1 sandwich
d)
1 1/4 sandwiches
16.
Amariah ran 7/6 miles in gym class. How much more than one mile did Amariah run?
a)
1/6 mile
b)
1/3 mile
c)
1/2 mile
d)
1 1/6 miles
17.
Which equation has the same sum as 1/5 + 1/5 + 1/5 = 3/5?
a)
2/5 + 1/5 = ?
b)
3/5 + 1/5 = ?
c)
1 + 1 + 1 = ?
d)
3/5 + 3/5 + 3/5 = ?
18.
What is the least common denominator of 1/7 and 3/6?
a)
14
b)
21
c)
7
d)
42
19.
What is the least common denominator of 6/8 and 4/12?
a)
12
b)
24
c)
8
d)
16
20.
What is the least common denominator of 2/6 and 7/8?
a)
36
b)
8
c)
18
d)
24
21.
What is the least common denominator of 1/4 and 1/3?
a)
4
b)
3
c)
12
d)
8
22.
Which fraction is equivalent to 1?
a)
1/2
b)
1/10
c)
5/5
d)
5/1
23.
What do you call an equal fraction ?
a)
Equivalent  fraction
b)
Mixed fraction
c)
Improper fractions
d)
Denominator
24.

Find the missing numerator: Draw to explain your thinking

2/3 = ?/9

a)

1/9

b)

4/9

c)

6/9

d)

7/9

25.

Explain your answer.

a)

1

b)

3

c)

9

d)

8

26.
a)
2
b)
4
c)
1
d)
3
27.
Which of the following is an equivalent fraction to 5/6?
a)
9/12
b)
10/12
c)
8/12
d)
14/18
28.
Are the fractions equivalent?
a)
Yes
b)
No
29.
Complete the equivalent fraction.
a)
6
b)
9
c)
15
d)
23
30.
a)
5/4
b)
4/5
c)
11/4
d)
4/11
31.
a)
21/4
b)
9/4
c)
4/9
d)
2/4
32.
a)
37/2
b)
52/7
c)
7/37
d)
37/7
33.
a)
24/4
b)
35/4
c)
11/3
d)
28/3
34.
a)
1/15
b)
15/15
c)
16/15
d)
2/15
35.
a)
35/9
b)
36/9
c)
24/8
d)
27/9
36.

Write 15/4 as a mixed number.

a)

3 3/4

b)

3 1/4

c)

4 1/4

d)

4 1/5

37.

Write 8/3 as a mixed number.

a)

6 1/3

b)

2 1/3

c)

2 2/3

d)

3 2/3

38.

Write 15/2 as a mixed number.

a)

8 1/2

b)

6 1/2

c)

1 7/2

d)

7 1/2

39.

Write 33/5 as a mixed number.

a)

3 6/5

b)

6 2/5

c)

6 3/5

d)

7 2/5

40.

3/8 + 2/4 =

a)

5/12

b)

5/8

c)

7/8

d)

6/8

41.
2/6 + 1/2 =
a)
5/6
b)
3/6
c)
4/6
d)
3/8
42.

Bryan made a fruit salad. He used 1/3 cup of strawberries, 2/3 cup of grapes and 3/4 cup of pineapples. How many cups of fruit did Bryan use altogether?

a)

1 and 3/4 cups

b)

1 and 1/4 cups

c)

1 and 7/12 cups

d)

1 and 6/12 cups

43.

Stacy used 1/4 cup of sugar and 2/3 cup of flour to bake a cupcakes. How much more flour did Stacy use than sugar?

a)

11/12 cup

b)

10/12 cup

c)

6/12 cup

d)

5/12 cup

44.

Jimmy filled a pitcher 1/2 of the way full with water. Carolyn filled a pitcher of the same size 5/6 of the way full with water. How much more water did Carolyn fill than Jimmy?

a)

1/6 more water

b)

2/3 more water

c)

1/3 more water

d)

3/6 more water

45.

Mr. Herran had 9/12 of a pizza after dinner on Friday. Saturday afternoon his kids ate 2/6 of the pizza for lunch. How much pizza did he have left?

a)

1/2 of a pizza

b)

29/24 of a pizza

c)

5/12 of a pizza

d)

7/12 of a pizza

46.

Michelle had 9/12 of a cookie cake leftover from her birthday party. Her aunt took 1/4 of the cookie cake home. How much cookie cake did Michelle have left?

a)

1

b)

5/12

c)

1/2

d)

7/12

47.

There are 4/8 of a pound of onions and 3/4 of a pound of ground beef used in the meatloaf recipe. How many pounds do the onion and beef weigh together?

a)

1 and 1/4 pounds

b)

1 and 1/2 pounds

c)

2/8 pound

d)

1/4 pound

48.

Jennifer had 8/12 cup of water and 5/6 cup of oil that she poured into a jar for a science project on mixtures. How many cups of the water and oil mixture did she have?

a)

1 and 1/6 cup

b)

1/6 cup

c)

2/12 cup

d)

1 and 1/2 cups

49.
19/20 - 3/10 = 
a)
15/20
b)
22/20
c)
13/20
50.
8/9 - 5/6 = 
a)
4/18
b)
1/18
c)
3/18