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Division of Fractions

Total questions: 100

Worksheet time: 6hrs 46mins

Name
Class
Date
1.
Monica divided 1/2 of a gallon of ketchup equally into 4 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle?
a)
1/4 gallon
b)
8 gallons
c)
1/8 gallon
d)
1/16 gallon
2.
⅙÷3
a)
1/12
b)
1/6
c)
1/18
d)
18
3.
How many one-third cup servings are in 6 cups of pecans?
a)
18
b)
1/18
c)
3
4.
Mr. Turner bought a packet of corn flakes for his kids. The packet of cornflake is 1/5 of a pound. He puts the cornflakes in two jars in equal amounts. What is the weight of each jar? 
a)
1/10
b)
1/6 
c)
10
5.
Billy, Jean, and Sarah have 1/6 of a mile to run in a race.  They are each going to run equal parts.  How much is each friend going to run?
a)
1/6 mile
b)
1/18 mile
c)
1/2 mile
d)
1 mile
6.
Divide these fractions
a)
8 / 2
b)
13  1/2
c)
9 / 2
d)
9 / 24
7.
Multiply these fractions
a)
10 / 15
b)
1  1/2
c)
2 / 3
d)
16  2/3
8.
Divide these fractions
a)
8 / 9
b)
2 / 1
c)
6 / 6
d)
1 / 2
9.
Divide
a)
18
b)
1 / 2
c)
8 / 1
d)
4  1/2
10.
In the expression 3 × ⅗ the product of these two numbers is 
a)
Greater than 3
b)
Less than 3
c)
Equal to 3
11.
Yesterday, Daniel drank 2 ½ cans of soda.  If he drank this amount each day, how long would a case of soda last?  (A case is 24 cans.)
a)
60 days
b)
5 / 58 days
c)
12 days
d)
9 ⅗ days
12.
3⅗ ÷ ⅓ = 1⅕
a)
True
b)
False
13.
Trace puts 2/3 of a bag of erasers in 3 boxes. How much of the bag of erasers will he put in each box? (Hint:  You are dividing the BAG OF ERASERS.)
a)
2/9 bag
b)
1/3 bag
c)
5/9 bag
d)
1/9 bag
14.
Andrew puts 2/5 of a bag of erasers in 3 boxes. How much of the bag of erasers will he put in each box? (Hint:  You are dividing the BAG OF ERASERS.)
a)
5/15 bag
b)
1/5 bag
c)
1/3 bag
d)
2/15 bag
15.
Kiontre puts 1/4 of a bag of erasers in 3 boxes. How much of the bag of erasers will he put in each box? (Hint:  You are dividing the BAG OF ERASERS.)
a)
1/12 bag
b)
1/3 bag
c)
1/8 bag
d)
1/6 bag
16.
Marlynda puts 3/8 of a bag of erasers in 2 boxes. How much of the bag of erasers will she put in each box? 
a)
3/24 bag
b)
1/3 bag
c)
3/16 bag
d)
3/2 bag
17.

It takes 1/3 cup of pizza sauce to make one pizza. How many cups of sauce do you need to make 7 pizzas?

a)

21 cups

b)

1/21 of a cup

c)

2 and 1/3 cups

d)

1 and 1/3 cups

18.

Of the 24 students in the horrible yodeling class, 2/3 of them were Shrek's cousins. How many students were not Shrek's cousins?

a)

12 students

b)

16 students

c)

36 students

d)

8 students

19.

What does this model represent?

a)

5 x 10 = 50

b)

1/3 x 1/3 = 1/9

c)

3/5 x 3/10 = 9/50

d)

3 x 3 = 9

20.

What is the product of 1 and 3/7 multiplied by 4 and 1/5?

a)

6

b)

4 and 3/35

c)

4 and 2/3

d)

6 and 1/2

21.

In the deep, dark forest there are 20 very scary creatures. Of those creatures, 1/2 are hairy. Of those hairy creatures, 1/5 of them also have wings. How many creatures are hairy and have wings?

a)

12 creatures

b)

5 creatures

c)

2 creatures

d)

6 creatures

22.
3/10 ÷ ⅘
a)
8/3
b)
4/5 
c)
3/8
d)
5/4
23.
What is the reciprocal of 9?
a)
90
b)
9/1
c)
1/9
d)
9
24.
4¼ ÷ ¾
a)
5 ⅔
b)
6 ⅔
c)
10
d)
9⅗
25.
9/10 ÷ ⅖
a)
1 ½
b)
2 ¼
c)
18/50
d)
9/25
26.
What is the reciprocal of 2?
a)
-2
b)
1/2
c)
4
d)
0.2
27.
An artist made a sculpture out of fabric and wire supported by sections of plastic pipe. He used 1/5 of a yard of plastic pipe divided into 2 equal pieces. How long was each piece?
a)
1/5 yd
b)
1/10 yd
c)
1/20 yd
d)
10 yds
28.
Henry went to Pizza Hut to eat with his 3 brothers for dinner.  Henry ate 3/4 of the entire pizza before his brothers showed up, what fraction of the remaining pizza did each of his brothers get?
a)
1/5 yd
b)
1/12 yd
c)
12 yds
d)
9/4 yds
29.
Monica divided 1/2 of a gallon of ketchup equally into 4 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle?
a)
1/4 gallon
b)
8 gallons
c)
1/8 gallon
d)
1/16 gallon
30.
Brady's Recycling collected 6/5 ton of metal last Saturday. If 3/5 of a ton of metal can be shredded each day, how many days will it take to shred what was collected? (Hint: you will divide HOW MUCH metal you HAVE by HOW MUCH you can shred in a day.)
a)
1 day
b)
2 days
c)
3/5 of a day
d)
5/3 of a day
31.
How do you write 5 divided by 3 as a fraction?
a)
5/3
b)
3/5
32.
Improper to Mixed Number 18/5
a)
3 3/5
b)
3 15/5
c)
1 3/5
d)
6
33.
Change 5  3/4 into an improper fraction
a)
23/4
b)
4/23
c)
20/4
d)
5 4/3
34.

3/5 ÷ 5/6 =

a)

18/25

b)

1/2

c)

5/10

d)

18/10

35.
1 ½ ÷ 2¼
a)
b)
1 ⅓
c)
d)
36.

A larger piece of wood that measures 8½ feet long will be cut into smaller pieces that measure ¼ foot each. How many smaller pieces of wood can be cut from the larger piece of wood?

a)

34

b)

32

c)

17

d)

4

37.

Which mixed number does the model represent?

a)

1 2/7

b)

1 3/8

c)

1 3/7

d)

1 5/7

38.

Which mixed number is represented by the model?

a)

3 2/5

b)

3 3/5

c)

3 5/3

d)

3/5

39.
⅜ ÷ 8 =  
a)
3
b)
3/64
c)
3/16
d)
3/56
40.
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
a)
6/4
b)
4/6
c)
1/3
d)
10/16
41.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
42.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 to 5
b)
10 to 13
c)
3:4
d)
3:5
43.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
44.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
45.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
46.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
47.
What mathematical operation do ratios involve?
a)
addition
b)
subtraction
c)
multiplication
d)
division
48.
5 ÷ 1/4
a)
5
b)
20
c)
1/5
d)
5/4
49.
2/3 ÷ 1/12
a)
2/36
b)
2/12
c)
8
d)
4
50.
a)
21/4
b)
9/4
c)
4/9
d)
2/4
51.
Convert to a mixed #:
11/2
a)
1 1/2
b)
11  1/2
c)
5   1/2
d)
3    1/2
52.
a)
24/5
b)
10/5
c)
30/5
d)
34/5
53.
0.3 x 0.5
a)
0.15
b)
1.5
c)
15
d)
150
54.
Tim's favorite peaches are $2.50 per pound at the local farmers’ market. She bought 3 pounds of the peaches. How much did she spend?
a)
$6.00
b)
$7.50
c)
$5.00
d)
$6.50
55.
3 x 0.002
a)
6
b)
0.6
c)
0.06
d)
0.006
56.
0.18 x 2.0
a)
3.6
b)
36
c)
0.36
d)
0.036
57.
45.1 x 7
a)
31.57
b)
315.7
c)
3,157
d)
3.157
58.
What is 2/3 x 2/3 
a)
4/9
b)
2/3
c)
4/3
d)
4/6
59.
Find the product.
a)
3/50
b)
30/5
c)
6
d)
1  1/5
60.
Multiply 2/6 x 3/5
a)
1/5
b)
1 / 1
c)
1 / 6
d)
0
61.
Multiply
a)
6
b)
4 / 45
c)
20
d)
7 /45
62.
a)
3/40
b)
4/40
c)
3/5
d)
5/24
63.
a)
1/21
b)
4/84
c)
1/10
d)
1/28
64.
A rate in which the second quantity in the comparison is one unit
a)
ratio
b)
unit rate
c)
rate
d)
proportion
65.
Ratios that name the same comparison
a)
equation
b)
rate
c)
equivalent 
d)
equivalent ratio
66.
Compares two quantities that have different units of measure
a)
ratio
b)
rate
c)
proportion
d)
equation
67.
A way to organize ratios to help find equivalent ratios
a)
Ratio chart
b)
Ratio table
c)
Ratio T-chart
d)
Ratio diagram
68.
A relationship between one part of the whole and the whole
a)
whole to whole
b)
part to part
c)
whole to part
d)
part to whole
69.
A mathematical sentence that shows two expressions are equivalent
a)
expressions
b)
equations
c)
equal
d)
equivalent
70.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
71.

What number would
replace x in the chart?
a)
32
b)
30
c)
20
d)
25
72.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
73.
If there are 5 soccer players, 10 baseball players, and 15 basketball players, what is the ratio of baseball players to soccer players?
a)
1 to 2
b)
1 to 3
c)
2 to 1
d)
3 to 1
74.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
75.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
76.
a)
27
b)
9
c)
1
d)
6
77.
Solve.
a)
12 yds
b)
6 yds
c)
16 yds
d)
9 yds
78.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
79.
$15 for 5 pairs of socks; $25 for 10 pairs of socks
a)
yes, equivalent
b)
no, not equivalent
80.
15 minutes to drive 21 miles; 25 minutes to drive 35 miles
a)
yes, equivalent
b)
no
81.
Which statement best describes what a ratio is.
a)
A number
b)
A comparison of two quantities using division.
c)
A comparison
d)
A comparison of many things.
82.
Beth went to a petting zoo with 23 animals. 9 were goats, 6 were sheep, and the rest were dogs. What is the ratio of dogs to goats?
a)
9 to 6
b)
8 to 9
c)
9 to 23
d)
6 to 9
83.
If we have the following recipes for juice, which one will taste the most cherry:
Sam:  1 part cherry, 4 parts sprite 
Katie: 2 parts cherry, 4 parts sprite
Michael: 6 parts cherry, 8 parts sprite 
a)
Michael
b)
Katie
c)
Sam
84.
Two burgers cost $6.50.  He needs to buy 12 burgers.  How much will 12 burgers cost?
a)
$12.50
b)
$33.00
c)
$33.50
d)
$39.00
85.
The sum of two numbers is 200.
The two numbers are in a ratio of 4: 6.
What are the two numbers?
a)
40, 80
b)
80, 100
c)
80, 120
d)
40, 120
86.
There are 25 bicycles.  If the ratio of gray bicycles to black is 6:9, how many are black?
a)
2
b)
3
c)
15
d)
20
87.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
88.
What is the missing number in the ratio table?
a)
72
b)
85
c)
76
d)
90
89.
What is A?
a)
84
b)
7
c)
28
d)
82
90.
What is B?
a)
3
b)
9
c)
2
d)
6
91.
What is C?
a)
72
b)
64
c)
96
d)
128
92.
Find the unit rate per ounce of a bag of Fritos that costs $2.29 for 9 ounces.
a)
$0.25
b)
$20.61
c)
$1.00
d)
$2.29
93.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
94.
5 boxes of candy costs $12.54. What is the unit price of one candy bar?
a)
2.50
b)
400000000
c)
78.0
d)
678
95.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.

a)

c=15

b)

c=18

c)

c=21

d)

c=16

96.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles in 1 hour
b)
55 miles in 1 hour
c)
110 miles in 1 hour
d)
44 miles in 1 hour
97.
Which ratio is written incorrectly?
a)
X : Y
b)
X and Y
c)
X/Y
d)
X to Y
98.
Mr. Schaffer made $90 in 5 hours.  What is the unit rate?  
a)
$18 per hour
b)
$1 in 18 hours
c)
$90:5h
d)
5 to 90
99.
Mr. Schaffer has 11 Playstation 4 games and 13 Nintendo games.  What is the ratio of PS4 games to Nintendo games?
a)
5:7
b)
1 to 3
c)
13/11
d)
11/13
100.
It costs $8.21 for 3 candy bars. What is the unit price one candy bar? 
a)
2.73
b)
6.90
c)
71.8
d)
76.0