Fractions and Mixed Numbers
Name___________________________________
Write the improper fraction as a mixed or whole number.
91
1)
7
A) 92
B) 90
C) 13
D)
13
2
Represent the shaded area in the figure group with a mixed number.
2)
A) 1
7
8
B) 1
4
3
C) 1
2
3
D) 1
3
4
Identify the numerator and the denominator of the fraction.
11
3)
11
A) numerator:
denominator:
1
11
B) numerator: 11
denominator: 11
C) numerator:
denominator:
11
1
D) numerator:
denominator: Write a fraction to represent the shaded area of the figure.
4)
A)
2
3
B)
2
5
C)
3
2
D)
3
5
D)
60
16
Identify the fraction as proper or improper.
1
5)
45
A) proper
B) improper
Write the fraction.
6) There are 60 minutes in an hour. What fraction of an hour does 16 minutes represent?
16
16
16
A)
B)
C)
60
3600
100
1
1
1
Write the fraction in simplest form.
14r
7)
105rs
A)
8)
4
15s
B)
4s
15
C)
1
2hp
B)
1
2p
2r
15s
D)
2
15s
C) 2p
D)
p
2
C) 3 · 18
D) 2 · 3 · 3
C) 2 3 · 5 2 · 13
D) 2 2 · 5 3 · 13
30h
60hp
A)
Write the prime factorization of the number.
9) 51
A) 3 · 3 · 5
B) 3 · 17
10) 2600
A) 5 4 · 13
B) 2 4 · 13
Determine whether the pair of fractions is equivalent.
18
21
and 11)
66
77
A) equivalent
B) not equivalent
Solve. Write the fraction in simplest form.
12) There are 6900 shoppers at a shopping mall. If 2400 are females, what fraction of the shoppers are females?
15
2400
15
8
A)
B)
C)
D)
8
females
23
23
Divide and simplify.
7
13) - ÷ 2
7
A) - 4
7
B) - 9
8
C) - 2
D) - 1
2
Multiply. Write the answer in simplest form.
5 48
14)
· 12 35
A)
7
4
B)
175
576
C)
4
7
D)
20
7
B)
27
5
C)
1
15
D) 15
Divide and simplify.
5 1
15) ÷ 3 9
A)
5
27
2
Evaluate.
16) - 8 2
9
A) - 16
81
B)
64
81
C) - 64
9
D) - 16
9
7
12y
C) - 19y
20
D) - 7
12y
15
2
D)
3
2
D)
9 + 3s
21
Divide and simplify.
7
10
17)
÷ - 10
12y
A) - 21y
25
B) Multiply. Write the answer in simplest form.
5
33
18) - · - 11
10
A) - 3
2
B)
2
3
C) - Write the fraction as an equivalent fraction with the given denominator.
3s
19)
= 7
21
A)
3s + 3
21
B)
3s
21
C)
9s
21
Find the LCD of the list of fractions.
7 2
20) - , 18 4
A) -36
B) 72
C) 36
D) 2
Write the fraction as an equivalent fraction with the given denominator.
21) 1 = 56
A)
56
56
B)
1
56
C)
56
1
D)
57
56
C)
1
15
D) - 91
56q
D)
Add or subtract as indicated. Write the answer in simplest form.
8
1
6
2
22)
+ - - 15 15 15 15
A) - 1
15
B)
17
15
17
15
Write the fraction as an equivalent fraction with the given denominator.
13
23)
= 8q 56q
A)
728q
56q
B)
20
56q
C)
3
13
56q
The table shows the fraction of the worldʹs surface land area taken up by each continent. Use the table to answer the
question. Write your answer in simplest form.
Continent
North America
South America
Europe
Africa
Asia
Australia
Antarctica
Fraction of Worldʹs
Surface Land Area
16
100
12
100
7
100
20
100
30
100
6
100
9
100
24) Find the fractional part of the worldʹs land area within the continents of Australia and Antarctica.
5
15
3
3
A)
B)
C)
D)
33
100
20
25
Add or subtract as indicated. Write the answer in simplest form.
7y 4
25)
+ 35 7
A)
7y + 20
35
B)
7y + 20
7
C)
7 + 20y
35
D)
7y + 4
35
Insert < or > to form a true sentence.
3
1
26) 6
12
A) >
B) <
Evaluate the expression for the given replacement values. Write the answer in simplest form.
1
2
27) x + y
for x = - , y = 4
5
A)
3
20
B) - 1
10
C)
1
9
D)
1
20
C)
129
260
D)
7
260
Add or subtract as indicated. Write the answer in simplest form.
17
549
28)
- 65 2340
A) - 129
260
B) - 133
585
4
29)
-13s 4
- 19
7
A)
-13s - 4
133
B)
-91s - 76
133
C)
-17s
133
D)
-17s
26
The table shows the fraction of the worldʹs surface land area taken up by each continent. Use the table to answer the
question. Write your answer in simplest form.
Continent
North America
South America
Europe
Africa
Asia
Australia
Antarctica
Fraction of Worldʹs
Surface Land Area
4
25
3
25
7
100
1
5
3
10
3
50
9
100
30) Find the fractional part of the worldʹs land area within the continents of Australia and Asia.
8
9
2
3
B)
C)
D)
A)
25
25
5
10
Simplify the complex fraction.
1
14
31)
1
35
A)
32)
1
20
B)
1
490
C)
2
5
D)
5
2
1
18z
B)
9
z
C)
z
18
D)
1
9z
1
16
9z
8
A)
5
Determine whether the statement is true or false.
33) The sum of a negative fraction and a positive fraction is always a negative number.
A) True
B) False
Simplify the complex fraction.
4x
7
34)
8
15
A)
15x
14
B)
15
14x
C)
32x
105
D)
14x
15
B)
61
420
C)
61
40
D)
69
130
Simplify.
35)
1 2 1 1
· + · 3 7 4 5
A)
61
210
Determine whether the statement is true or false.
36) It is possible for the average of two numbers to be greater than both numbers.
A) True
B) False
Perform the indicated operation. Write the answer as a mixed number in simplest form.
2 3
37) 2 · 9 8
A)
5
6
B) 2
6
72
C)
3
6
D) 2
5
6
Add or subtract as indicated. Write the answer as a mixed number in simplest form.
38)
7
18
9
- 8
1
9
A) 10
8
9
B) 10
2
3
C) 26
8
9
D) 26
2
3
Translate the phrase to an algebraic expression. Use ʺxʺ to represent ʺa numberʺ.
9
39) 1 increased by a number
10
A) 1
9
+ x
10
B) 1
9
· x
10
C) 1
6
9
- x
10
D) x + 1
9
10
Solve. Write the answer as a mixed number in simplest form.
40) A sidewalk is built seven bricks wide by laying each brick side by side. How many inches wide is the sidewalk
3
if each brick measures 2 inches wide?
8
3
2 in.
8
3
A) 16 in.
8
5
B) 16 in.
8
3
C) 15 in.
8
5
D) 15 in.
8
Perform the indicated operation. Write the answer as a mixed number in simplest form.
2
1
41) 2 · 8
5
3
A) 21
B) 16
9
15
C) 20
D) 23
Add or subtract as indicated. Write the answer as a mixed number in simplest form.
42)
3
1
4
6
11
12
+ 2
4
5
A) 592
7
15
B) 9
6
7
C) 11
7
37
15
D) 11
7
15
Answer Key
Testname: WHOLENUMBERS
1) C
2) D
3) B
4) D
5) A
6) A
7) D
8) B
9) B
10) C
11) A
12) A
13) D
14) C
15) D
16) B
17) A
18) D
19) C
20) C
21) A
22) C
23) C
24) D
25) A
26) A
27) A
28) D
29) B
30) C
31) D
32) A
33) B
34) A
35) B
36) B
37) A
38) B
39) A
40) B
41) C
42) D
8