Question 1

Write the fraction in simplest form.
-$\frac { 189 } { 36 }$

Accepted Answer

A)  $\frac { 21 } { 9 }$ 
B)  $\frac { 9 } { 4 }$ 
C)  $\frac { 4 } { 9 }$ 
D)  $\frac { 21 } { 4 }$ 
A)  $\frac { 21 } { 9 }$ 
B)  $\frac { 9 } { 4 }$ 
C)  $\frac { 4 } { 9 }$ 
D)  $\frac { 21 } { 4 }$

Question 2

Write the mixed number as an improper fraction.
-$6 \frac { 5 } { 7 }$

Accepted Answer

A)  $\frac { 47 } { 7 }$ 
B)  $\frac { 47 } { 5 }$ 
C)  $\frac { 42 } { 5 }$ 
D)  $\frac { 42 } { 7 }$ 
A)  $\frac { 47 } { 7 }$ 
B)  $\frac { 47 } { 5 }$ 
C)  $\frac { 42 } { 5 }$ 
D)  $\frac { 42 } { 7 }$

Question 3

Write the improper fraction as a mixed or whole number.
-$\frac { 53 } { 11 }$

Accepted Answer

A)  $4 \frac { 9 } { 11 }$ 
B)  $53 \frac { 53 } { 11 }$ 
C)  $53 \frac { 11 } { 53 }$ 
D)  $\frac { 11 } { 53 }$ 
A)  $4 \frac { 9 } { 11 }$ 
B)  $53 \frac { 53 } { 11 }$ 
C)  $53 \frac { 11 } { 53 }$ 
D)  $\frac { 11 } { 53 }$

Question 4

Draw and shade a part of a diagram to represent the figure.
-$\frac { 4 } { 11 }$ of a d of a diagram

Accepted Answer

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

Question 5

Solve.
-The area of the rectangle is 8 square feet. If its length ish is 5 $5 \frac { 2 } { 7 }$ feet, feet, find its width.

Accepted Answer

A)  $42 \frac { 2 } { 7 } \mathrm { ft }$ 
B)  $1 \frac { 19 } { 37 } \mathrm { ft }$ 
C)  $5 \frac { 2 } { 7 } \text { feet }$ 
D)  $21 \frac { 1 } { 7 } \mathrm { ft }$ 
A)  $42 \frac { 2 } { 7 } \mathrm { ft }$ 
B)  $1 \frac { 19 } { 37 } \mathrm { ft }$ 
C)  $5 \frac { 2 } { 7 } \text { feet }$ 
D)  $21 \frac { 1 } { 7 } \mathrm { ft }$

Question 6

Fill in the blank with one of the words or phrases listed below. $\begin{array}{llll}
\text { mixed number } & \text { equivalent } & 0 & \text { undefined } \
\text { composite number } & \text { improper fraction } & \text { simplest form } & \text { prime factorization } \
\text { prime number } & \text { proper fraction } & \text { numerator } & \text { denominator }\
\text { reciprocals } & \text { cross products }
\end{array}$
-Fractions that represent the same portion of a whole are called ___________fractions.

Accepted Answer

A) prime number 
B) undefined 
C) simplest form 
D) equivalent 
A) prime number 
B) undefined 
C) simplest form 
D) equivalent

Question 7

Divide. Write the answer in simplest form.
-$\frac { 7 } { 19 } \div \frac { 9 } { 20 }$

Accepted Answer

A)  $\frac { 138 } { 171 }$ 
B)  $\frac { 140 } { 171 }$ 
C)  $\frac { 140 } { 169 }$ 
D)  $\frac { 139 } { 171 }$ 
A)  $\frac { 138 } { 171 }$ 
B)  $\frac { 140 } { 171 }$ 
C)  $\frac { 140 } { 169 }$ 
D)  $\frac { 139 } { 171 }$

Question 8

Solve. Write the answer in simplest form.
-Approximatelyly $\frac { 3 } { 14 }$ of a of a worldwide corporation's employees live and work in the United States. If 6636 employees live and work in the United States, how many employees does the corporation have worldwide?

Accepted Answer

A) 2212 employees 
B) 30,968 employees 
C) 1422 employees 
D) 474 employees 
A) 2212 employees 
B) 30,968 employees 
C) 1422 employees 
D) 474 employees

Question 9

Write a fraction to represent the shaded area.
-

Accepted Answer

A)  $2 \frac { 11 } { 12 } \text { or } \frac { 11 } { 6 }$ 
B)  $1 \frac { 5 } { 6 } \text { or } \frac { 11 } { 6 }$ 
C)  $1 \frac { 11 } { 12 } \text { or } \frac { 11 } { 6 }$ 
D)  $2 \frac { 5 } { 6 } \text { or } \frac { 11 } { 6 }$ 
A)  $2 \frac { 11 } { 12 } \text { or } \frac { 11 } { 6 }$ 
B)  $1 \frac { 5 } { 6 } \text { or } \frac { 11 } { 6 }$ 
C)  $1 \frac { 11 } { 12 } \text { or } \frac { 11 } { 6 }$ 
D)  $2 \frac { 5 } { 6 } \text { or } \frac { 11 } { 6 }$

Question 10

Write the fraction in simplest form.
-$\frac { 28 } { 47 }$

Accepted Answer

A)  $\frac { 23 } { 14 }$ 
B)  $\frac { 14 } { 23 }$ 
C)  $\frac { 28 } { 47 }$ 
D)  $\frac { 1 } { 47 }$ 
A)  $\frac { 23 } { 14 }$ 
B)  $\frac { 14 } { 23 }$ 
C)  $\frac { 28 } { 47 }$ 
D)  $\frac { 1 } { 47 }$

Question 11

Multiply. Write the answer in simplest form.
-$1 \frac { 7 } { 8 } \cdot 6 \frac { 2 } { 5 }$

Accepted Answer

A) 12 
B) 11 
C) 4 
D) 6 
A) 12 
B) 11 
C) 4 
D) 6

Question 12

Write the fraction.
-Of the 92 doctors at a hospital, 88 are men. What fraction of the doctors are NOT men?

Accepted Answer

A)  $\frac { 4 } { 92 }$ 
B)  $\frac { 92 } { 4 }$ 
C)  $\frac { 88 } { 4 }$ 
D)  $\frac { 4 } { 88 }$ 
A)  $\frac { 4 } { 92 }$ 
B)  $\frac { 92 } { 4 }$ 
C)  $\frac { 88 } { 4 }$ 
D)  $\frac { 4 } { 88 }$

Question 13

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

Accepted Answer

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

Question 14

Divide. Write the answer in simplest form.
-$2 \frac { 4 } { 5 } + 7$

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 2 } { 4 }$ 
D) 25 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 2 } { 4 }$ 
D) 25

Question 15

Find the prime factorization of the number. Write any repeated factors using exponents.
-45

Accepted Answer

A)  $3 ^ { 2 } \cdot 5$ 
B) 9 ·3 
C)  $5 ^ { 2 }$ 
D) 9 ·5 
A)  $3 ^ { 2 } \cdot 5$ 
B) 9 ·3 
C)  $5 ^ { 2 }$ 
D) 9 ·5

Question 16

Solve. Write the fractions in simplest form.
-A company employs 675,000 employees worldwide. About 49,500 employees work in the United States. What fraction of the employees do NOT work in the United States?

Accepted Answer

A)  $\frac { 49,500 } { 675,000 }$ 
B)  $\frac { 11 } { 150 }$ 
C)  $\frac { 625,500 } { 675,000 }$ 
D)  $\frac { 139 } { 150 }$ 
A)  $\frac { 49,500 } { 675,000 }$ 
B)  $\frac { 11 } { 150 }$ 
C)  $\frac { 625,500 } { 675,000 }$ 
D)  $\frac { 139 } { 150 }$

Question 17

Multiply. Write the answer in simplest form.
-$1 \frac { 4 } { 5 } \cdot \frac { 4 } { 9 }$

Accepted Answer

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

Question 18

Write the fraction.
-At Smith's Apple Orchard one day, 52 people were picking apples, 17 people were picking pumpkins, and 31 people were picking raspberries. What fractional part of the people were picking pumpkins?

Accepted Answer

A)  $\frac { 100 } { 17 }$ 
B)  $\frac { 17 } { 100 }$ 
C)  $\frac { 17 } { 83 }$ 
D)  $\frac { 52 } { 100 }$ 
A)  $\frac { 100 } { 17 }$ 
B)  $\frac { 17 } { 100 }$ 
C)  $\frac { 17 } { 83 }$ 
D)  $\frac { 52 } { 100 }$

Question 19

Multiply. Write the answer in simplest form.
-$4 \frac { 1 } { 5 } \cdot 5$

Accepted Answer

A) 100 
B) 21 
C) 20 
D)  $9 \frac { 1 } { 5 }$ 
A) 100 
B) 21 
C) 20 
D)  $9 \frac { 1 } { 5 }$

Question 20

Divide. Write the answer in simplest form.
-$1 \div \frac { 6 } { 7 }$

Accepted Answer

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

Write the fraction in simplest form. - $\frac { 189 } { 36 }$

Write the mixed number as an improper fraction. - $6 \frac { 5 } { 7 }$

Write the improper fraction as a mixed or whole number. - $\frac { 53 } { 11 }$

Draw and shade a part of a diagram to represent the figure. - $\frac { 4 } { 11 }$ of a d of a diagram

Solve. -The area of the rectangle is 8 square feet. If its length ish is 5 $5 \frac { 2 } { 7 }$ feet, feet, find its width. $Solve. -The area of the rectangle is 8 square feet. If its length ish is 5 5 \frac { 2 } { 7 } feet, feet, find its width.$

Divide. Write the answer in simplest form. - $\frac { 7 } { 19 } \div \frac { 9 } { 20 }$

Solve. Write the answer in simplest form. -Approximatelyly $\frac { 3 } { 14 }$ of a of a worldwide corporation's employees live and work in the United States. If 6636 employees live and work in the United States, how many employees does the corporation have worldwide?

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

Write the fraction in simplest form. - $\frac { 28 } { 47 }$

Multiply. Write the answer in simplest form. - $1 \frac { 7 } { 8 } \cdot 6 \frac { 2 } { 5 }$

Write the fraction. -Of the 92 doctors at a hospital, 88 are men. What fraction of the doctors are NOT men?

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

Divide. Write the answer in simplest form. - $2 \frac { 4 } { 5 } + 7$

Find the prime factorization of the number. Write any repeated factors using exponents. -45

Solve. Write the fractions in simplest form. -A company employs 675,000 employees worldwide. About 49,500 employees work in the United States. What fraction of the employees do NOT work in the United States?

Multiply. Write the answer in simplest form. - $1 \frac { 4 } { 5 } \cdot \frac { 4 } { 9 }$

Write the fraction. -At Smith's Apple Orchard one day, 52 people were picking apples, 17 people were picking pumpkins, and 31 people were picking raspberries. What fractional part of the people were picking pumpkins?

Multiply. Write the answer in simplest form. - $4 \frac { 1 } { 5 } \cdot 5$

Divide. Write the answer in simplest form. - $1 \div \frac { 6 } { 7 }$

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 fraction in simplest form. - 18936\frac { 189 } { 36 }36189​

Write the mixed number as an improper fraction. - 6576 \frac { 5 } { 7 }675​

Write the improper fraction as a mixed or whole number. - 5311\frac { 53 } { 11 }1153​

Draw and shade a part of a diagram to represent the figure. - 411\frac { 4 } { 11 }114​ of a d of a diagram

Solve. -The area of the rectangle is 8 square feet. If its length ish is 5 5275 \frac { 2 } { 7 }572​ feet, feet, find its width.

Divide. Write the answer in simplest form. - 719÷920\frac { 7 } { 19 } \div \frac { 9 } { 20 }197​÷209​

Solve. Write the answer in simplest form. -Approximatelyly 314\frac { 3 } { 14 }143​ of a of a worldwide corporation's employees live and work in the United States. If 6636 employees live and work in the United States, how many employees does the corporation have worldwide?

Write a fraction to represent the shaded area. -

Write the fraction in simplest form. - 2847\frac { 28 } { 47 }4728​

Multiply. Write the answer in simplest form. - 178⋅6251 \frac { 7 } { 8 } \cdot 6 \frac { 2 } { 5 }187​⋅652​