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Worksheets

Multiply and Divide Rational Numbers

Total questions: 30

Worksheet time: 2hrs 56mins

Name
Class
Date
1.
Sarah bought 2.5 meters of fabric to make a patchwork quilt. If the fabric was on sale for $6.20 per meter, how much did Sarah spend?
a)
$15.50
b)
$155
c)
$15.65
d)
$1.55
2.
30 ÷ 0.8 = _____
a)
375
b)
3.75
c)
37.5
d)
.375
3.
3.69 ÷ 0.9
a)
4.1
b)
4.3
c)
3.1
d)
4.2
4.
3.57 x 4.6
a)
3.570
b)
13.882
c)
16.422
d)
164.22
5.
0.4x0.9
a)
0.36
b)
3.6
c)
0.036
d)
7.2
6.
1/2 x 4/5=
a)
4/5
b)
5/2
c)
2/5
d)
5/8
7.

 45(16) = \frac{-4}{5}\left(\frac{-1}{6}\right)\ =\   

(a)  

8.

 0.3(4)-0.3\cdot\left(-4\right)  

(a)  

9.

 14÷25\frac{-1}{4}\div\frac{2}{5}  

(a)  

10.

 4327\frac{-4}{3}\cdot\frac{2}{7}  

(a)  

11.

 6÷.75-6\div.75  

(a)  

12.

 10 12÷34=?-10\ \frac{1}{2}\div\frac{3}{4}=?  

a)

 1414 

b)

 14-14  

c)

 845\frac{84}{5}  

d)

 845-\frac{84}{5}  

13.

 72÷(75)-\frac{7}{2}\div\left(-\frac{7}{5}\right)  

a)

 52\frac{5}{2}  

b)

 4910\frac{49}{10}  

c)

 2 12-2\ \frac{1}{2}  

d)

 4910-\frac{49}{10}  

14.

True or False:

Before multiplying or dividing mixed numbers we should change them into improper fractions.

a)

True

b)

False

15.

What is the quotient of the following expression?

 2 15÷37-2\ \frac{1}{5}\div\frac{-3}{7}  

a)

 2 15-2\ \frac{1}{5}  

b)

 37\frac{-3}{7}  

c)

 3335\frac{-33}{35}  

d)

 5 2155\ \frac{2}{15}  

16.

Which division has the same quotient as

 4÷0.254\div0.25  

a)

 4÷254\div25  

b)

 40÷2540\div25  

c)

 400÷25400\div25  

d)

 0.25÷40.25\div4  

17.

Which expression is equivalent to  -3\ \frac{1}{2}\div1\ \frac{1}{4}  

a)

 72÷54-\frac{7}{2}\div\frac{5}{4}  

b)

 32÷1 14-\frac{3}{2}\div1\ \frac{1}{4}  

c)

 72×54-\frac{7}{2}\times\frac{5}{4}  

d)

 32÷24-\frac{3}{2}\div\frac{2}{4}  

18.

Choose ALL the negative products.

a)

x(x)x\left(x\right)

b)

2(4)(1)(3)-2\left(4\right)\left(-1\right)\left(3\right)

c)

3×(18)-3\times\left(\frac{1}{8}\right)

d)

(5×12)-\left(-5\times\frac{-1}{2}\right)

19.

When multiplying or dividing a NEGATIVE to a NEGATIVE number your answer will be...

a)

Positive

b)

Negative

c)

Depends on the largest number

d)

None of the above

20.
Multiply. Make sure your final answer is in simplest form. 
a)
-7/8
b)
7/8
c)
-63/72
d)
63/72
21.

Determine the product: -2.14 x (5.8) =

a)

-12.412

b)

10.45

c)

12.412

d)

-10.45

22.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
23.
Laura earned $92.56. She worked for 13 hours. How much did Laura earn per hour?
a)
$712.50
b)
$71.50
c)
$71.25
d)
$7.12
24.
At a restaurant 3 people were at a table when the waiter brought out one-half of a plate of nachos.  If they split the plate evenly, how much would each person get?
a)
6
b)
1/6
c)
12
d)
9
25.
There are 12 yards of fabric. Each pillow uses 2/3 yard. How many pillows can be made?
a)
8 pillows
b)
12 pillows
c)
18 pillows
26.

Lana was trying to collect 4 pounds of cans to recycle. If she collects one-eighth of a pound each day, how many days will it take to collect 4 pounds?

a)

2

b)

32

c)

12\frac{1}{2}

d)

132\frac{1}{32}

27.

Mailina is making cupcakes for her classmates. She puts  14\frac{1}{4}  ounce of sprinkles on each cupcake and she has 14 ounces of sprinkles. How many cupcakes can she make using the sprinkles she has?

a)

3 12\frac{1}{2}

b)

5 34\frac{3}{4}

c)

156\frac{1}{56}

d)

56

28.
Which story can be represented by 6 ÷ 1/2?
a)
Sam has a string that is 6 yards long. He cuts it into 2 pieces. How many yards long is each piece of string?
b)
Sam has a piece of strong that is 6 yards long. He cuts it into pieces that are 1/2 yard long. How many pieces of string does Sam have?
c)
Sam has a piece of string that is 1/2 yard long. He cuts it into 6 pieces each the same length. How many yards long is each piece of string?
d)
Sam has 6 pieces of string. Each piece is 1/2 yard long. How many yards of string does Sam have in all?
29.

Aidan had 5 feet of ribbon. He needs 1/2 foot of ribbon to make an ornament. How many ornaments can he make with the amount of ribbon he has?

a)

9

b)

10

c)

6

d)

4

30.

Which of the following questions could be answered using the expression 3 divided by   13\frac{1}{3}   ?


a)

How many miles will Kia walk is she walks  13\frac{1}{3}   mile each day for 9 days?

b)

How many  13\frac{1}{3}   cup serving can be made from a 3 cup bag of granola?

c)

How much of a pie will each person get if 3 people share  13\frac{1}{3}   of a pie?

d)

How much granola is left if  13\frac{1}{3}   cup is taken from a 3 cup bag?