Deck 11: Fractions

Question 1

Write the fraction as an equivalent fraction with the given denominator
$\frac { 3 } { 4 }$ with a denominator of 8

A) $\frac { 3 } { 8 }$
B) $\frac { 6 } { 8 }$
C) $\frac { 2 } { 8 }$
D) $\frac { 12 } { 8 }$

Answer 1

B

Question 2

Simplify the fraction.
$\frac { 242 } { 1022 }$

A) $\frac { 242 } { 1022 }$
B) $\frac { 340 } { 80 }$
C) $\frac { 121 } { 511 }$
D) $\frac { 80 } { 340 }$

Answer 2

C

Question 3

Simplify the fraction.
$\frac { 60 } { 44 }$

A) $\frac { 11 } { 4 }$
B) $\frac { 15 } { 11 }$
C) $\frac { 60 } { 44 }$
D) $\frac { 11 } { 15 }$

Answer 3

B

Question 4

Simplify the fraction.
$\frac { 24 } { 35 }$

A) $\frac { 17 } { 12 }$
B) $\frac { 1 } { 35 }$
C) $\frac { 24 } { 35 }$
D) $\frac { 12 } { 17 }$

Question 5

Simplify the fraction.
$\frac { 5 } { 15 }$

A) $\frac { 1 } { 3 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 1 } { 5 }$
D) $\frac { 5 } { 15 }$

Question 6

Write the fraction as an equivalent fraction with the given denominator.
$\frac { 10 } { 7 }$ with a denominator of 21

A) $\frac { 3 } { 21 }$
B) $\frac { 70 } { 21 }$
C) $\frac { 30 } { 21 }$
D) $\frac { 10 } { 21 }$

Question 7

Write the fraction as an equivalent fraction with the given denominator.
$\frac { 6 } { 10 }$ with a denominator of 50

A) $\frac { 6 } { 50 }$
B) $\frac { 300 } { 500 }$
C) $\frac { 30 } { 50 }$
D) $\frac { 60 } { 50 }$

Question 8

Multiply or divide as indicated.
$\frac { 8 } { 9 } \cdot \frac { 5 } { 7 }$

A) $\frac { 63 } { 40 }$
B) $\frac { 40 } { 63 }$
C) $\frac { 13 } { 16 }$
D) $\frac { 45 } { 56 }$

Question 9

Simplify the fraction.
$\frac { 75 } { 100 }$

A) $\frac { 3 } { 4 }$
B) $\frac { 25 } { 4 }$
C) $\frac { 3 } { 25 }$
D) $\frac { 75 } { 100 }$

Question 10

Simplify the fraction.
$\frac { 528 } { 1012 }$

A) $\frac { 23 } { 12 }$
B) $\frac { 1012 } { 528 }$
C) $\frac { 528 } { 1012 }$
D) $\frac { 12 } { 23 }$

Question 11

Simplify the fraction.
$\frac { 21 } { 28 }$

A) $\frac { 4 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 1 } { 7 }$
D) $\frac { 7 } { 4 }$

Question 12

Multiply or divide as indicated.
$\frac { 6 } { 28 } \cdot \frac { 14 } { 12 }$

A) $\frac { 1 } { 7 }$
B) $\frac { 28 } { 112 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 1 } { 4 }$

Question 13

Simplify the fraction.
$\frac { 44 } { 48 }$

A) $\frac { 11 } { 12 }$
B) $\frac { 11 } { 4 }$
C) $\frac { 44 } { 48 }$
D) $\frac { 4 } { 12 }$

Question 14

Simplify the fraction.
$\frac { 84 } { 108 }$

A) $\frac { 7 } { 12 }$
B) $\frac { 84 } { 108 }$
C) $\frac { 7 } { 9 }$
D) $\frac { 12 } { 9 }$

Question 15

Simplify the fraction.
$\frac { 132 } { 143 }$

A) $\frac { 132 } { 143 }$
B) $\frac { 12 } { 11 }$
C) $\frac { 12 } { 13 }$
D) $\frac { 11 } { 13 }$

Question 16

Write the fraction as an equivalent fraction with the given denominator.
$\frac { 2 } { 3 }$ with a denominator of 30

A) $\frac { 6 } { 30 }$
B) $\frac { 20 } { 30 }$
C) $\frac { 10 } { 30 }$
D) $\frac { 2 } { 30 }$

Question 17

Write the fraction as an equivalent fraction with the given denominator.
$\frac { 4 } { 9 }$ with a denominator of 45

A) $\frac { 5 } { 45 }$
B) $\frac { 4 } { 45 }$
C) $\frac { 36 } { 45 }$
D) $\frac { 20 } { 45 }$

Question 18

Simplify the fraction.
$\frac { 30 } { 50 }$

A) $\frac { 10 } { 5 }$
B) $\frac { 30 } { 50 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 3 } { 5 }$

Question 19

Multiply or divide as indicated.
$\frac { 13 } { 6 } \cdot \frac { 3 } { 8 }$

A) $2 \frac { 3 } { 48 }$
B) $\frac { 13 } { 16 }$
C) $\frac { 11 } { 16 }$
D) $1 \frac { 13 } { 16 }$

Question 20

Simplify the fraction.
$\frac { 16 } { 72 }$

A) $\frac { 2 } { 9 }$
B) $\frac { 8 } { 9 }$
C) $\frac { 2 } { 8 }$
D) $\frac { 16 } { 72 }$

Question 21

Add or subtract as indicated.
$\frac { 5 } { 8 } - \frac { 2 } { 8 }$

A) $\frac { 3 } { 16 }$
B) $\frac { 3 } { 8 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 3 } { 4 }$

Question 22

Add or subtract as indicated.
$$\frac { 3 } { 20 } + \frac { 3 } { 20 }$$

A) $\frac { 1 } { 5 }$
B) $\frac { 3 } { 10 }$
C) $\frac { 2 } { 9 }$
D) $\frac { 4 } { 11 }$

Question 23

Add or subtract as indicated.
$$\frac { 6 } { 8 } - \frac { 2 } { 4 }$$

A) $\frac { 1 } { 8 }$
B) 1
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 4 }$

Question 24

Add or subtract as indicated.
$$\frac { 15 } { 74 } + \frac { 13 } { 74 }$$

A) $\frac { 13 } { 36 }$
B) $\frac { 15 } { 38 }$
C) $\frac { 13 } { 37 }$
D) $\frac { 14 } { 37 }$

Question 25

Add or subtract as indicated.
$\frac { 1 } { 7 } - \frac { 1 } { 11 }$

A) $\frac { 1 } { 77 }$
B) $\frac { 4 } { 7 }$
C) $\frac { 1 } { 7 }$
D) $\frac { 4 } { 77 }$

Question 26

Multiply or divide as indicated.
$$4 \cdot \frac { 125 } { 14 }$$

A) $32 \frac { 13 } { 14 }$
B) $35 \frac { 7 } { 7 }$
C) $35 \frac { 5 } { 7 }$
D) $12 \frac { 5 } { 7 }$

Question 27

Multiply or divide as indicated.
$$5 \cdot \frac { 71 } { 20 }$$

A) $15 \frac { 11 } { 20 }$
B) $16 \frac { 3 } { 4 }$
C) $17 \frac { 3 } { 4 }$
D) 15

Question 28

Add or subtract as indicated.
$\frac { 4 } { 9 } + \frac { 2 } { 9 }$

A) $\frac { 1 } { 3 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 2 } { 3 }$

Question 29

Multiply or divide as indicated.
$$\frac { 12 } { 10 } \div \frac { 15 } { 8 }$$

A) $\frac { 8 } { 5 }$
B) $\frac { 32 } { 50 }$
C) $\frac { 16 } { 25 }$
D) $\frac { 16 } { 15 }$

Question 30

Add or subtract as indicated.
$$\frac { 55 } { 87 } - \frac { 52 } { 87 }$$

A) $\frac { 1 } { 58 }$
B) $32 \frac { 76 } { 87 }$
C) $\frac { 1 } { 29 }$
D) $1 \frac { 20 } { 87 }$

Question 31

Add or subtract as indicated.
$\frac { 4 } { 9 } + \frac { 1 } { 5 }$

A) $\frac { 29 } { 45 }$
B) $\frac { 41 } { 45 }$
C) $\frac { 5 } { 14 }$
D) $\frac { 1 } { 9 }$

Question 32

Multiply or divide as indicated.
$$\frac { 25 } { 7 } \div \frac { 1 } { 7 }$$

A) 24
B) 25
C) $\frac { 47 } { 2 }$
D) 26

Question 33

Multiply or divide as indicated.
$$\frac { 40 } { 9 } \div 10$$

A) $\frac { 3 } { 9 }$
B) $\frac { 4 } { 8 }$
C) $\frac { 5 } { 9 }$
D) $\frac { 4 } { 9 }$

Question 34

Multiply or divide as indicated.
$$\frac { 2 } { 19 } \div \frac { 7 } { 17 }$$

A) $\frac { 34 } { 131 }$
B) $\frac { 33 } { 133 }$
C) $\frac { 32 } { 133 }$
D) $\frac { 34 } { 133 }$

Question 35

Add or subtract as indicated.
$$\frac { 1 } { 3 } + \frac { 1 } { 18 }$$

A) $\frac { 2 } { 21 }$
B) $\frac { 1 } { 9 }$
C) $\frac { 7 } { 18 }$
D) $\frac { 11 } { 27 }$

Question 36

Multiply or divide as indicated.
$$\frac { 4 } { 14 } \div \frac { 6 } { 17 }$$

A) $\frac { 17 } { 21 }$
B) $\frac { 12 } { 238 }$
C) $\frac { 10 } { 31 }$
D) $\frac { 119 } { 6 }$

Question 37

Add or subtract as indicated.
$$\frac { 5 } { 9 } + \frac { 5 } { 13 }$$

A) $\frac { 5 } { 11 }$
B) $\frac { 110 } { 11 }$
C) $\frac { 5 } { 117 }$
D) $\frac { 110 } { 117 }$

Question 38

Add or subtract as indicated.
$\frac { 3 } { 8 } - \frac { 1 } { 20 }$

A) $\frac { 1 } { 20 }$
B) $\frac { 13 } { 40 }$
C) $\frac { 13 } { 160 }$
D) $\frac { 7 } { 20 }$

Question 39

Multiply or divide as indicated.
$$\frac { 3 } { 17 } \div \frac { 5 } { 18 }$$

A) $\frac { 52 } { 85 }$
B) $\frac { 53 } { 85 }$
C) $\frac { 54 } { 85 }$
D) $\frac { 54 } { 83 }$

Question 40

Multiply or divide as indicated.
$$11 \div \frac { 11 } { 3 }$$

A) $\frac { 3 } { 2 }$
B) 3
C) 2
D) 4

Question 41

Perform the indicated operation.
$$1 \frac { 1 } { 2 } \cdot 6 \frac { 2 } { 3 }$$

A) $6 \frac { 7 } { 6 }$
B) 12
C) 10
D) 11

Question 42

Perform the indicated operation.
$$5 \frac { 1 } { 9 } \div 1 \frac { 8 } { 9 }$$

A) $2 \frac { 12 } { 17 }$
B) $2 \frac { 12 } { 16 }$
C) $3 \frac { 12 } { 17 }$
D) $2 \frac { 13 } { 17 }$

Question 43

Solve.
The total length of a canoe race is $\frac { 8 } { 14 }$ of a mile. Sunee has completed $\frac { 2 } { 14 }$ of a mile. How much does she have left to complete?

A) $\frac { 1 } { 7 } \mathrm { mi }$
B) $\frac { 3 } { 7 } \mathrm { mi }$
C) $\frac { 5 } { 7 } \mathrm { mi }$
D) $\frac { 4 } { 7 } \mathrm { mi }$

Question 44

Perform the indicated operation.
$$1 \frac { 5 } { 6 } \cdot 2 \frac { 1 } { 8 }$$

A) $3 \frac { 43 } { 48 }$
B) $2 \frac { 5 } { 48 }$
C) $3 \frac { 25 } { 48 }$
D) $\frac { 3 } { 8 }$

Question 45

Add or subtract as indicated.
$$\frac { 11 } { 15 } + \frac { 1 } { 25 }$$

A) $\frac { 58 } { 75 }$
B) $\frac { 29 } { 20 }$
C) $\frac { 56 } { 75 }$
D) $\frac { 4 } { 25 }$

Question 46

Add or subtract as indicated.
$$\frac { 11 } { 7 } - \frac { 4 } { 35 }$$

A) $\frac { 51 } { 35 }$
B) $\frac { 51 } { 245 }$
C) $\frac { 51 } { 7 }$
D) $\frac { 1 } { 5 }$

Question 47

Perform the indicated operation.
$$4 \cdot 2 \frac { 15 } { 16 }$$

A) $11 \frac { 3 } { 4 }$
B) 8
C) $10 \frac { 3 } { 4 }$
D) $8 \frac { 15 } { 16 }$

Question 48

Perform the indicated operation.
$3 \frac { 1 } { 9 } \cdot 6 \frac { 3 } { 7 }$

A) 19
B) 16
C) 20
D) 18

Question 49

Add or subtract as indicated.
$$\frac { 5 } { 8 } - \frac { 7 } { 11 } + \frac { 1 } { 2 }$$

A) $\frac { 43 } { 88 }$
B) $\frac { 43 } { 176 }$
C) $\frac { 155 } { 88 }$
D) $\frac { 43 } { 44 }$

Question 50

Add or subtract as indicated.
$\frac { 5 } { 9 } + \frac { 1 } { 3 } - \frac { 1 } { 6 }$

A) $\frac { 13 } { 9 }$
B) $\frac { 19 } { 9 }$
C) $\frac { 19 } { 18 }$
D) $\frac { 13 } { 18 }$

Question 51

Perform the indicated operation.
$$1 \frac { 3 } { 5 } \div 1 \frac { 1 } { 8 }$$

A) $1 \frac { 19 } { 44 }$
B) $2 \frac { 19 } { 45 }$
C) $1 \frac { 19 } { 45 }$
D) $1 \frac { 20 } { 45 }$

Question 52

Add or subtract as indicated.
$$\frac { 9 } { 14 } - \frac { 8 } { 35 }$$

A) $\frac { 1 } { 70 }$
B) $\frac { 29 } { 490 }$
C) $\frac { 29 } { 70 }$
D) $\frac { 37 } { 70 }$

Question 53

Solve.
Barat walked $\frac { 1 } { 24 }$ mile to his biology class, $\frac { 3 } { 24 }$ mile to his art class, $\frac { 4 } { 24 }$ mile to his calculus class, and then back to his dormitory. If he walked 1 mile altogether, how far did he walk from his calculus class to his dormitory?

A) $\frac { 5 } { 6 } \mathrm { mi }$
B) $\frac { 19 } { 24 } \mathrm { mi }$
C) $\frac { 1 } { 3 } \mathrm { mi }$
D) $\frac { 2 } { 3 } \mathrm { mi }$

Question 54

Perform the indicated operation.
$2 \frac { 3 } { 7 } \div \frac { 1 } { 7 }$

A) 5
B) $14 \frac { 3 } { 7 }$
C) 17
D) $\frac { 17 } { 49 }$

Question 55

Add or subtract as indicated.
$$9 - \frac { 7 } { 4 }$$

A) $\frac { 29 } { 4 }$
B) $\frac { 7 } { 5 }$
C) $\frac { 43 } { 4 }$
D) $\frac { 1 } { 2 }$

Question 56

Add or subtract as indicated.
$$\frac { 21 } { 5 } - 1$$

A) 20
B) $\frac { 104 } { 5 }$
C) $\frac { 16 } { 5 }$
D) 4

Question 57

Perform the indicated operation.
$$3 \frac { 1 } { 4 } \div 4 \frac { 7 } { 20 }$$

A) $14 \frac { 11 } { 80 }$
B) $1 \frac { 13 } { 28 }$
C) $\frac { 65 } { 87 }$
D) $1 \frac { 9 } { 11 }$

Question 58

The circle represents a whole, or 1. Determine the unknown part of the circle.

A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 1 } { 4 }$

Question 59

The circle represents a whole, or 1. Determine the unknown part of the circle.

A) $\frac { 9 } { 13 }$
B) $\frac { 11 } { 13 }$
C) $\frac { 15 } { 13 }$
D) $\frac { 4 } { 13 }$

Question 60

Perform the indicated operation.
$$2 \frac { 4 } { 9 } \div 1 \frac { 7 } { 9 }$$

A) $1 \frac { 3 } { 7 }$
B) $2 \frac { 3 } { 8 }$
C) $1 \frac { 1 } { 2 }$
D) $1 \frac { 3 } { 8 }$

Question 61

Perform the indicated operation.
$$5 \frac { 5 } { 12 } + 2 \frac { 2 } { 9 }$$

A) $7 \frac { 7 } { 36 }$
B) $7 \frac { 23 } { 36 }$
C) $7 \frac { 17 } { 36 }$
D) $7 \frac { 13 } { 36 }$

Question 62

Perform the indicated operation.
$$19 \frac { 3 } { 5 } + 10 \frac { 3 } { 8 }$$

A) $29 \frac { 39 } { 40 }$
B) $28 \frac { 39 } { 40 }$
C) $19 \frac { 39 } { 40 }$
D) $30 \frac { 39 } { 40 }$

Question 63

Use Cramer's Rule, if possible, to solve the system of linear equations.
$$\left\{ \begin{array} { l } 3 x + 2 y = 0 \\2 x + y = - 2\end{array} \right.$$

A) $( 4 , - 6 )$
В) $( - 4,6 )$
C) $( - 6 , - 4 )$
D) $( 6 , - 4 )$

Question 64

Evaluate the determinant.
$\left| \begin{array} { l l } 3 & 1 \\ 2 & 2 \end{array} \right|$

A) 4
B) 8
C) $- 1$
D) $- 4$

Question 65

Solve.
Last week, Samantha ran 20 miles. This week, she ran $18 \frac { 2 } { 3 }$ miles. How much more did she run last week?

A) $25 \frac { 1 } { 3 }$ miles
B) $1 \frac { 3 } { 7 }$ miles
C) $1 \frac { 1 } { 3 }$ miles
D) $38 \frac { 2 } { 3 }$ miles

Question 66

Use Cramer's Rule, if possible, to solve the system of linear equations.
$$\left\{ \begin{array} { r } - 2 x + 2 y = 16 \\4 x + 4 y = 40\end{array} \right.$$

A) $( 9,1 )$
B) $( 1,9 )$
C) $( - 9,1 )$
D) $( - 1 , - 9 )$

Question 67

Use Cramer's Rule, if possible, to solve the system of linear equations.
$$\left\{ \begin{array} { l } 8 x + 2 y = \frac { 16 } { 5 } \\5 x - 5 y = 5\end{array} \right.$$

A) $\left( \frac { 13 } { 25 } , \frac { 38 } { 25 } \right)$
B) $\left( - \frac { 13 } { 25 } , - \frac { 12 } { 25 } \right)$
C) $\left( \frac { 13 } { 25 } , - \frac { 12 } { 25 } \right)$
D) not possible

Question 68

Perform the indicated operation.
$$36 \div 1 \frac { 1 } { 5 }$$

A) 29
B) $28 \frac { 1 } { 2 }$
C) 31
D) 30

Question 69

Perform the indicated operation.
$$7 \frac { 5 } { 36 } - 4 \frac { 1 } { 30 }$$

A) $3 \frac { 1 } { 45 }$
B) $3 \frac { 2 } { 15 }$
C) $3 \frac { 19 } { 180 }$
D) $2 \frac { 19 } { 180 }$

Question 70

Perform the indicated operation.
$$2 \frac { 1 } { 3 } + 14 \frac { 1 } { 6 }$$

A) $17 \frac { 1 } { 2 }$
B) $2 \frac { 1 } { 2 }$
C) $15 \frac { 1 } { 2 }$
D) $16 \frac { 1 } { 2 }$

Question 71

Evaluate the determinant.
$\left| \begin{array} { l l } 7 & 9 \\ 2 & 6 \end{array} \right|$

A) 24
B) 51
C) 60
D) $- 24$

Question 72

Evaluate the determinant.
$$\left| \begin{array} { c c } 12 & - 7 \\- 4 & 3\end{array} \right|$$

A) 64
B) 8
C) 4
D) $- 8$

Question 73

Perform the indicated operation.
$$2 \frac { 4 } { 9 } \div 11$$

A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 9 }$
C) $\frac { 2 } { 9 }$
D) $\frac { 1 } { 3 }$

Question 74

Use Cramer's Rule, if possible, to solve the system of linear equations.
$$\left\{ \begin{array} { l } 4 x - 7 y = 5 \\2 x + 5 y = - 3\end{array} \right.$$

A) $\left( - \frac { 2 } { 17 } , \frac { 11 } { 17 } \right)$
B) $\left( \frac { 23 } { 3 } , - \frac { 11 } { 3 } \right)$
C) $\left( \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)$
D) $\left( \frac { 2 } { 17 } , - \frac { 11 } { 17 } \right)$

Question 75

Perform the indicated operation.
$$2 \frac { 7 } { 9 } + 2 \frac { 2 } { 5 }$$

A) $2 \frac { 16 } { 45 }$
B) $\frac { 13 } { 14 }$
C) $5 \frac { 8 } { 45 }$
D) $1 \frac { 4 } { 5 }$

Question 76

Use Cramer's Rule, if possible, to solve the system of linear equations.
$\left\{ \begin{array} { c } 2 x + 2 y = 16 \\ 2 x - 2 y = - 8 \\ \text { A) } ( - 2 , - 6 ) \end{array} \right.$
B) $( 6,2 )$
C) $( 2,6 )$
D) $( - 6,2 )$

Question 77

Solve.
Jeffrey has two packages. One weighs $2 \frac { 1 } { 4 }$ ounces, and the other weighs $\frac { 5 } { 6 }$ ounces. What is the total weight of the two packages?

A) $3 \frac { 1 } { 12 }$ ounces
B) $3 \frac { 2 } { 5 }$ ounces
C) $1 \frac { 7 } { 8 }$ ounces
D) $1 \frac { 2 } { 5 }$ ounces

Question 78

Use Cramer's Rule, if possible, to solve the system of linear equations.
$$\left\{ \begin{array} { l } x + 4 y = 12 \\\frac { 1 } { 2 } x - y = - 10\end{array} \right.$$

A) $\left( - \frac { 28 } { 3 } , \frac { 16 } { 3 } \right)$
B) $\left( \frac { 52 } { 3 } , \frac { 56 } { 3 } \right)$
C) $( 28,24 )$
D) not possible

Question 79

Evaluate the determinant.
$$\left| \begin{array} { r r } - 9 & - 5 \\7 & 9\end{array} \right|$$

A) 46
В) $- 46$
C) $- 116$
D) $- 18$

Question 80

Perform the indicated operation.
$$14 \frac { 5 } { 8 } - 4 \frac { 7 } { 8 }$$

A) $18 \frac { 3 } { 4 }$
B) $9 \frac { 3 } { 4 }$
C) $9 \frac { 2 } { 4 }$
D) $17 \frac { 3 } { 4 }$