Question 1

Write the improper fraction as a mixed or whole number.
-$\frac { 39 } { 5 }$

Accepted Answer

A)  $7 \frac { 4 } { 5 }$ 
B)  $6 \frac { 4 } { 5 }$ 
C)  $7 \frac { 4 } { 7 }$ 
D)  $8 \frac { 4 } { 5 }$ 
A)  $7 \frac { 4 } { 5 }$ 
B)  $6 \frac { 4 } { 5 }$ 
C)  $7 \frac { 4 } { 7 }$ 
D)  $8 \frac { 4 } { 5 }$

Question 2

Draw and shade a part of a diagram to represent the figure.
-$\frac { 4 } { 7 }$ of a d of a diagram

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Perform the indicated operation. Write the answer in simplest form.
-$4 \frac { 4 } { 5 } \cdot 2 \frac { 1 } { 2 }$

Accepted Answer

A) 12 
B) 11 
C) 6 
D) 8 
A) 12 
B) 11 
C) 6 
D) 8

Question 4

Determine whether the pair of fractions is equivalent.
-$\frac { 3 } { 9 } \text { and } \frac { 21 } { 63 }$

Accepted Answer

A) equivalent 
B) not equivalent 
A) equivalent 
B) not equivalent

Question 5

Solve. Write the answer in simplest form.
-A recipe calls forA recipe calls for $\frac { 1 } { 4 }$ of a pound of sausage. How much sausage should be used if onlyy $\frac { 1 } { 2 }$ of the rec of the recipe is being made?

Accepted Answer

A)  $\frac { 1 } { 3 } \mathrm { lb }$ 
B)  $\frac { 1 } { 2 } \mathrm { lb }$ 
C)  $\frac { 1 } { 8 } \mathrm { lb }$ 
D)  $\frac { 1 } { 6 } \mathrm { lb }$ 
A)  $\frac { 1 } { 3 } \mathrm { lb }$ 
B)  $\frac { 1 } { 2 } \mathrm { lb }$ 
C)  $\frac { 1 } { 8 } \mathrm { lb }$ 
D)  $\frac { 1 } { 6 } \mathrm { lb }$

Question 6

Multiply. Write the answer in simplest form.
-$\frac { 5 } { 1 } \cdot \frac { 18 } { 11 }$

Accepted Answer

A)  $\frac { 16 } { 19 }$ 
B)  $\frac { 23 } { 12 }$ 
C)  $\frac { 90 } { 11 }$ 
D)  $\frac { 55 } { 18 }$ 
A)  $\frac { 16 } { 19 }$ 
B)  $\frac { 23 } { 12 }$ 
C)  $\frac { 90 } { 11 }$ 
D)  $\frac { 55 } { 18 }$

Question 7

Find the reciprocal of the number.
-$\frac { 1 } { 9 }$

Accepted Answer

A) 1 
B) 9 
C)  $\frac { 1 } { 9 }$ 
D) 0 
A) 1 
B) 9 
C)  $\frac { 1 } { 9 }$ 
D) 0

Question 8

Perform the indicated operation. Write the answer in simplest form.
-$39 \div 3 \frac { 1 } { 4 }$

Accepted Answer

A) 13 
B)  $10 \frac { 1 } { 2 }$ 
C) 12 
D) 11 
A) 13 
B)  $10 \frac { 1 } { 2 }$ 
C) 12 
D) 11

Question 9

Multiply. Write the answer in simplest form.
-$\frac { 3 } { 9 } \cdot \frac { 3 } { 7 }$

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 5 } { 6 }$ 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 5 } { 6 }$

Question 10

Write the fraction.
-There are 100 centimeters in a meter. What fractional part of a meter does 33 centimeters represent?

Accepted Answer

A)  $\frac { 33 } { 67 }$ 
B)  $\frac { 100 } { 33 }$ 
C)  $\frac { 33 } { 100 }$ 
D)  $\frac { 67 } { 33 }$ 
A)  $\frac { 33 } { 67 }$ 
B)  $\frac { 100 } { 33 }$ 
C)  $\frac { 33 } { 100 }$ 
D)  $\frac { 67 } { 33 }$

Question 11

Find the reciprocal of the number.
-$\frac { 3 } { 2 }$

Accepted Answer

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

Question 12

Identify the number as prime or composite.
-50

Accepted Answer

A) Composite 
B) Prime 
A) Composite 
B) Prime

Question 13

Perform the indicated operation. Write the answer in simplest form.
-$\frac { 77 } { 9 } \cdot \frac { 27 } { 121 } \div \frac { 7 } { 11 }$

Accepted Answer

A)  $\frac { 5929 } { 243 }$ 
B) 3 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 147 } { 121 }$ 
A)  $\frac { 5929 } { 243 }$ 
B) 3 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 147 } { 121 }$

Question 14

Write the mixed number as an improper fraction.
-$6 \frac { 7 } { 8 }$

Accepted Answer

A)  $\frac { 48 } { 8 }$ 
B)  $\frac { 48 } { 7 }$ 
C)  $\frac { 55 } { 8 }$ 
D)  $\frac { 55 } { 7 }$ 
A)  $\frac { 48 } { 8 }$ 
B)  $\frac { 48 } { 7 }$ 
C)  $\frac { 55 } { 8 }$ 
D)  $\frac { 55 } { 7 }$

Question 15

Write the mixed number as an improper fraction.
-$15 \frac { 9 } { 10 }$

Accepted Answer

A) 33 
B) 270 
C)  $\frac { 27 } { 2 }$ 
D)  $\frac { 159 } { 10 }$ 
A) 33 
B) 270 
C)  $\frac { 27 } { 2 }$ 
D)  $\frac { 159 } { 10 }$

Question 16

Write the shaded area in the figure as a mixed number and as an improper fraction.
-

Accepted Answer

A)  $1 \frac { 3 } { 4 } ; \frac { 7 } { 4 }$ 
B)  $2 \frac { 7 } { 8 } ; \frac { 7 } { 4 }$ 
C)  $4 \frac { 3 } { 4 } ; \frac { 7 } { 4 }$ 
D)  $1 \frac { 7 } { 8 } ; \frac { 7 } { 4 }$ 
A)  $1 \frac { 3 } { 4 } ; \frac { 7 } { 4 }$ 
B)  $2 \frac { 7 } { 8 } ; \frac { 7 } { 4 }$ 
C)  $4 \frac { 3 } { 4 } ; \frac { 7 } { 4 }$ 
D)  $1 \frac { 7 } { 8 } ; \frac { 7 } { 4 }$

Question 17

Write the fraction.
-At Smith's Apple Orchard one day, 59 people were picking apples, 31 people were picking pumpkins, and 10 people were picking raspberries. What fractional part of the people were picking either apples or pumpkins?

Accepted Answer

A)  $\frac { 59 } { 100 }$ 
B)  $\frac { 31 } { 100 }$ 
C)  $\frac { 90 } { 10 }$ 
D)  $\frac { 90 } { 100 }$ 
A)  $\frac { 59 } { 100 }$ 
B)  $\frac { 31 } { 100 }$ 
C)  $\frac { 90 } { 10 }$ 
D)  $\frac { 90 } { 100 }$

Question 18

Perform the indicated operation. Write the answer in simplest form.
-$18 \div \frac { 9 } { 2 }$

Accepted Answer

A) 5 
B) 3 
C) 4 
D)  $\frac { 5 } { 2 }$ 
A) 5 
B) 3 
C) 4 
D)  $\frac { 5 } { 2 }$

Question 19

Multiply. Write the answer in simplest form. Find both an exact product and an estimated product.
-$3 \frac { 1 } { 7 } \cdot 2 \frac { 1 } { 5 }$

Accepted Answer

A)  Exact: $\frac { 242 } { 35 }$
Estimate: 6 
B)  Exact: $\frac { 242 } { 35 }$
Estimate: 12 
C)  Exact: $\frac { 36 } { 7 }$
Estimate: 12 
D)  Exact: $\frac { 36 } { 7 }$
Estimate: 6 
A)  Exact: $\frac { 242 } { 35 }$
Estimate: 6 
B)  Exact: $\frac { 242 } { 35 }$
Estimate: 12 
C)  Exact: $\frac { 36 } { 7 }$
Estimate: 12 
D)  Exact: $\frac { 36 } { 7 }$
Estimate: 6

Question 20

Fill in the blank with one of the words or phrases listed below. $\begin{array}{llll}
\text { mixed number } & \text { equivalent } & 0 & \text { undefined } \
\text { composite number } & \text { improper fraction } & \text { simplest form } & \text { prime factorization } \
\text { prime number } & \text { proper fraction } & \text { numerator } & \text { denominator }\
\text { reciprocals } & \text { cross products }
\end{array}$
-A(n)___________is one whose numerator is less than its denominator.

Accepted Answer

A) mixed number 
B) improper fraction 
C) prime number 
D) proper fraction 
A) mixed number 
B) improper fraction 
C) prime number 
D) proper fraction

Write the improper fraction as a mixed or whole number. - $\frac { 39 } { 5 }$

Draw and shade a part of a diagram to represent the figure. - $\frac { 4 } { 7 }$ of a d of a diagram

Perform the indicated operation. Write the answer in simplest form. - $4 \frac { 4 } { 5 } \cdot 2 \frac { 1 } { 2 }$

Determine whether the pair of fractions is equivalent. - $\frac { 3 } { 9 } \text { and } \frac { 21 } { 63 }$

Solve. Write the answer in simplest form. -A recipe calls forA recipe calls for $\frac { 1 } { 4 }$ of a pound of sausage. How much sausage should be used if onlyy $\frac { 1 } { 2 }$ of the rec of the recipe is being made?

Multiply. Write the answer in simplest form. - $\frac { 5 } { 1 } \cdot \frac { 18 } { 11 }$

Find the reciprocal of the number. - $\frac { 1 } { 9 }$

Perform the indicated operation. Write the answer in simplest form. - $39 \div 3 \frac { 1 } { 4 }$

Multiply. Write the answer in simplest form. - $\frac { 3 } { 9 } \cdot \frac { 3 } { 7 }$

Write the fraction. -There are 100 centimeters in a meter. What fractional part of a meter does 33 centimeters represent?

Find the reciprocal of the number. - $\frac { 3 } { 2 }$

Identify the number as prime or composite. -50

Perform the indicated operation. Write the answer in simplest form. - $\frac { 77 } { 9 } \cdot \frac { 27 } { 121 } \div \frac { 7 } { 11 }$

Write the mixed number as an improper fraction. - $6 \frac { 7 } { 8 }$

Write the mixed number as an improper fraction. - $15 \frac { 9 } { 10 }$

Write the shaded area in the figure as a mixed number and as an improper fraction. - $Write the shaded area in the figure as a mixed number and as an improper fraction. -$

Write the fraction. -At Smith's Apple Orchard one day, 59 people were picking apples, 31 people were picking pumpkins, and 10 people were picking raspberries. What fractional part of the people were picking either apples or pumpkins?

Perform the indicated operation. Write the answer in simplest form. - $18 \div \frac { 9 } { 2 }$

Multiply. Write the answer in simplest form. Find both an exact product and an estimated product. - $3 \frac { 1 } { 7 } \cdot 2 \frac { 1 } { 5 }$

The Whole Numbers

Adding and Subtracting Fractions

Decimals

Ratio, Proportion, and Percent

Geometry

Statistics and Probability

Real Numbers and Introduction to Algebra

Equations, Inequalities, and Problem Solving

Graphing Equations and Inequalities

Systems of Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Roots and Radicals

Quadratic Equations and Nonlinear Graphs

Algebraic Equations and Inequalities

Filters

Exam 2: Multiplying and Dividing Fractions

Write the improper fraction as a mixed or whole number. - 395\frac { 39 } { 5 }539​

Draw and shade a part of a diagram to represent the figure. - 47\frac { 4 } { 7 }74​ of a d of a diagram

Perform the indicated operation. Write the answer in simplest form. - 445⋅2124 \frac { 4 } { 5 } \cdot 2 \frac { 1 } { 2 }454​⋅221​

Determine whether the pair of fractions is equivalent. - 39 and 2163\frac { 3 } { 9 } \text { and } \frac { 21 } { 63 }93​ and 6321​

Solve. Write the answer in simplest form. -A recipe calls forA recipe calls for 14\frac { 1 } { 4 }41​ of a pound of sausage. How much sausage should be used if onlyy 12\frac { 1 } { 2 }21​ of the rec of the recipe is being made?

Multiply. Write the answer in simplest form. - 51⋅1811\frac { 5 } { 1 } \cdot \frac { 18 } { 11 }15​⋅1118​

Find the reciprocal of the number. - 19\frac { 1 } { 9 }91​

Perform the indicated operation. Write the answer in simplest form. - 39÷31439 \div 3 \frac { 1 } { 4 }39÷341​

Multiply. Write the answer in simplest form. - 39⋅37\frac { 3 } { 9 } \cdot \frac { 3 } { 7 }93​⋅73​