Question 1

Perform the indicated operation. Write the answer in simplest form.
-$\frac { 7 } { 9 } \cdot \frac { 1 } { 6 }$

Accepted Answer

A)  $\frac { 7 } { 54 }$ 
B)  $\frac { 8 } { 15 }$ 
C)  $\frac { 3 } { 14 }$ 
D)  $\frac { 54 } { 7 }$ 
A)  $\frac { 7 } { 54 }$ 
B)  $\frac { 8 } { 15 }$ 
C)  $\frac { 3 } { 14 }$ 
D)  $\frac { 54 } { 7 }$

Question 2

Write the fraction.
-According to a recent study, 3 out of 16 visits to a hospital emergency room were for an injury. What fraction of emergency room visits are NOT injury-related?

Accepted Answer

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

Question 3

Determine whether the pair of fractions is equivalent.
-$\frac { 35 } { 60 } \text { and } \frac { 42 } { 84 }$

Accepted Answer

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

Question 4

Fill in the blank with one of the words or phrases listed below. $\begin{array}{llll}
\text { mixed number } & \text { equivalent } & 0 & \text { undefined } \
\text { composite number } & \text { improper fraction } & \text { simplest form } & \text { prime factorization } \
\text { prime number } & \text { proper fraction } & \text { numerator } & \text { denominator }\
\text { reciprocals } & \text { cross products }
\end{array}$
-The ___________of a number is the factorization in which all the factors are prime numbers.

Accepted Answer

A) prime factorization 
B) 0 
C) reciprocals 
D) simplest form 
A) prime factorization 
B) 0 
C) reciprocals 
D) simplest form

Question 5

Write a fraction to represent the shaded part of the figure.
-

Accepted Answer

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

Question 6

Solve.
-The perimeter of the square is 12 $12 \frac { 2 } { 9 }$ meters. Find the length of each side.

Accepted Answer

A)  $48 \frac { 8 } { 9 } \mathrm {~m}$ 
B) 6 $6 \frac { 1 } { 9 } \mathrm {~m}$ 
C)  $24 \frac { 4 } { 9 } \mathrm {~m}$ 
D)  $3 \frac { 1 } { 18 } \mathrm {~m}$ 
A)  $48 \frac { 8 } { 9 } \mathrm {~m}$ 
B) 6 $6 \frac { 1 } { 9 } \mathrm {~m}$ 
C)  $24 \frac { 4 } { 9 } \mathrm {~m}$ 
D)  $3 \frac { 1 } { 18 } \mathrm {~m}$

Question 7

Write the fraction in simplest form.
-$\frac { 51 } { 57 }$

Accepted Answer

A)  $\frac { 17 } { 19 }$ 
B)  $\frac { 3 } { 19 }$ 
C)  $\frac { 51 } { 57 }$ 
D)  $\frac { 17 } { 3 }$ 
A)  $\frac { 17 } { 19 }$ 
B)  $\frac { 3 } { 19 }$ 
C)  $\frac { 51 } { 57 }$ 
D)  $\frac { 17 } { 3 }$

Question 8

Find the prime factorization of the number.
-4725

Accepted Answer

A)  $3 ^ { 4 } \cdot 5 \cdot 7$ 
B)  $3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 7$ 
C)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 7$ 
D)  $3 \cdot 5 ^ { 4 } \cdot 7$ 
A)  $3 ^ { 4 } \cdot 5 \cdot 7$ 
B)  $3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 7$ 
C)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 7$ 
D)  $3 \cdot 5 ^ { 4 } \cdot 7$

Question 9

Multiply. Write the answer in simplest form.
-$\frac { 7 } { 10 } \cdot \frac { 17 } { 11 }$

Accepted Answer

A)  $\frac { 119 } { 110 }$ 
B)  $\frac { 77 } { 170 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 8 } { 7 }$ 
A)  $\frac { 119 } { 110 }$ 
B)  $\frac { 77 } { 170 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 8 } { 7 }$

Question 10

Write the improper fraction as a mixed or whole number.
-$\frac { 56 } { 7 }$

Accepted Answer

A)  $\frac { 8 } { 2 }$ 
B) 8 
C) 55 
D) 57 
A)  $\frac { 8 } { 2 }$ 
B) 8 
C) 55 
D) 57

Question 11

Multiply. Write the answer in simplest form.
-$\frac { 13 } { 20 } \cdot 80 \cdot \frac { 100 } { 40 }$

Accepted Answer

A)  $\frac { 1 } { 130 }$ 
B) 130 
C) 80 
D)  $\frac { 13 } { 8 }$ 
A)  $\frac { 1 } { 130 }$ 
B) 130 
C) 80 
D)  $\frac { 13 } { 8 }$

Question 12

Find the prime factorization of the number. Write any repeated factors using exponents.
-168

Accepted Answer

A)  $2 \cdot 3 \cdot 7$ 
B)  $2 \cdot 3 ^ { 3 } \cdot 7$ 
C)  $2 ^ { 3 } \cdot 3 \cdot 7$ 
D)  $2 ^ { 2 } \cdot 3 \cdot 7$ 
A)  $2 \cdot 3 \cdot 7$ 
B)  $2 \cdot 3 ^ { 3 } \cdot 7$ 
C)  $2 ^ { 3 } \cdot 3 \cdot 7$ 
D)  $2 ^ { 2 } \cdot 3 \cdot 7$

Question 13

Perform the indicated operation. Write the answer in simplest form.
-$1 \frac { 1 } { 8 } \div \frac { 1 } { 8 }$

Accepted Answer

A) 9 
B) 8 
C)  $7 \frac { 1 } { 2 }$ 
D) 10 
A) 9 
B) 8 
C)  $7 \frac { 1 } { 2 }$ 
D) 10

Question 14

Write the mixed number as an improper fraction.
-$7 \frac { 4 } { 5 }$

Accepted Answer

A)  $\frac { 35 } { 4 }$ 
B)  $\frac { 39 } { 4 }$ 
C)  $\frac { 35 } { 5 }$ 
D)  $\frac { 39 } { 5 }$ 
A)  $\frac { 35 } { 4 }$ 
B)  $\frac { 39 } { 4 }$ 
C)  $\frac { 35 } { 5 }$ 
D)  $\frac { 39 } { 5 }$

Question 15

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

Accepted Answer

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

Question 16

Write a fraction to represent the shaded area.
-

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 6 }$ 
C)  $\frac { 5 } { 1 }$ 
D)  $\frac { 5 } { 6 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 6 }$ 
C)  $\frac { 5 } { 1 }$ 
D)  $\frac { 5 } { 6 }$

Question 17

Perform the indicated operation. Write the answer in simplest form.
-$\frac { 3 } { 4 } \cdot 5$

Accepted Answer

A)  $\frac { 23 } { 4 }$ 
B)  $\frac { 11 } { 8 }$ 
C)  $\frac { 3 } { 20 }$ 
D)  $\frac { 15 } { 4 }$ 
A)  $\frac { 23 } { 4 }$ 
B)  $\frac { 11 } { 8 }$ 
C)  $\frac { 3 } { 20 }$ 
D)  $\frac { 15 } { 4 }$

Question 18

Write the fraction.
-Of the 107 doctors at a hospital, 58 are women. What fraction of the doctors are women?

Accepted Answer

A)  $\frac { 58 } { 49 }$ 
B)  $\frac { 58 } { 107 }$ 
C)  $\frac { 49 } { 58 }$ 
D)  $\frac { 107 } { 58 }$ 
A)  $\frac { 58 } { 49 }$ 
B)  $\frac { 58 } { 107 }$ 
C)  $\frac { 49 } { 58 }$ 
D)  $\frac { 107 } { 58 }$

Question 19

Write the improper fraction as a mixed or whole number.
-$\frac { 196 } { 7 }$

Accepted Answer

A) 197 
B)  $\frac { 28 } { 2 }$ 
C) 195 
D) 28 
A) 197 
B)  $\frac { 28 } { 2 }$ 
C) 195 
D) 28

Question 20

Draw and shade a part of a diagram to represent the figure.
-$\frac { 5 } { 8 }$ of a d of a diagram

Accepted Answer

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

Perform the indicated operation. Write the answer in simplest form. - $\frac { 7 } { 9 } \cdot \frac { 1 } { 6 }$

Write the fraction. -According to a recent study, 3 out of 16 visits to a hospital emergency room were for an injury. What fraction of emergency room visits are NOT injury-related?

Determine whether the pair of fractions is equivalent. - $\frac { 35 } { 60 } \text { and } \frac { 42 } { 84 }$

Write a fraction to represent the shaded part of the figure. - $Write a fraction to represent the shaded part of the figure. -$

Solve. -The perimeter of the square is 12 $12 \frac { 2 } { 9 }$ meters. Find the length of each side. $Solve. -The perimeter of the square is 12 12 \frac { 2 } { 9 } meters. Find the length of each side.$

Write the fraction in simplest form. - $\frac { 51 } { 57 }$

Find the prime factorization of the number. -4725

Multiply. Write the answer in simplest form. - $\frac { 7 } { 10 } \cdot \frac { 17 } { 11 }$

Write the improper fraction as a mixed or whole number. - $\frac { 56 } { 7 }$

Multiply. Write the answer in simplest form. - $\frac { 13 } { 20 } \cdot 80 \cdot \frac { 100 } { 40 }$

Find the prime factorization of the number. Write any repeated factors using exponents. -168

Perform the indicated operation. Write the answer in simplest form. - $1 \frac { 1 } { 8 } \div \frac { 1 } { 8 }$

Write the mixed number as an improper fraction. - $7 \frac { 4 } { 5 }$

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

Write a fraction to represent the shaded area. - $Write a fraction to represent the shaded area. -$

Perform the indicated operation. Write the answer in simplest form. - $\frac { 3 } { 4 } \cdot 5$

Write the fraction. -Of the 107 doctors at a hospital, 58 are women. What fraction of the doctors are women?

Write the improper fraction as a mixed or whole number. - $\frac { 196 } { 7 }$

Draw and shade a part of a diagram to represent the figure. - $\frac { 5 } { 8 }$ of a d of a diagram

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

Perform the indicated operation. Write the answer in simplest form. - 79⋅16\frac { 7 } { 9 } \cdot \frac { 1 } { 6 }97​⋅61​