Question 1

Find the prime factorization of the number. Write any repeated factors using exponents.
-24,975

Accepted Answer

A)  $5 ^ { 4 } \cdot 37$ 
B)  $3 ^ { 4 } \cdot 37$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 3 } \cdot 37$ 
D)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 37$ 
A)  $5 ^ { 4 } \cdot 37$ 
B)  $3 ^ { 4 } \cdot 37$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 3 } \cdot 37$ 
D)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 37$

Question 2

Fill in the blank with one of the words or phrases listed below. $\begin{array}{llll}
\text { mixed number } & \text { equivalent } & 0 & \text { undefined } \
\text { composite number } & \text { improper fraction } & \text { simplest form } & \text { prime factorization } \
\text { prime number } & \text { proper fraction } & \text { numerator } & \text { denominator }\
\text { reciprocals } & \text { cross products }
\end{array}$
-Two numbers are ___________of each other if their product is 1.

Accepted Answer

A) reciprocals 
B) undefined 
C) composite number 
D) mixed number 
A) reciprocals 
B) undefined 
C) composite number 
D) mixed number

Question 3

Solve. Write the fractions in simplest form.
-A real estate agent categorized 100 available homes by housing style. $$\begin{array}{l}
\text { Distribution of Houses by Style }\
\begin{array} { l | c } 
\text { Housing Style } & \text { Number of Homes } \
\hline \text { Two Story } & 38 \
\text { One and One-Half Story } & 12 \
\text { Raised Ranch } & 6 \
\text { Split Level } & 25 \
\text { Ranch } & 19
\end{array}
\end{array}$$ What fraction of available homes are split-level homes?

Accepted Answer

A)  $\frac { 25 } { 100 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 25 } { 75 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 25 } { 100 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 25 } { 75 }$ 
D)  $\frac { 1 } { 4 }$

Question 4

Multiply. Write the answer in simplest form.
-1 15 · 49

Accepted Answer

A)  $1 \frac { 8 } { 15 }$ 
B) 1 $1 \frac { 4 } { 45 }$ 
C)  $\frac { 8 } { 15 }$ 
D)  $\frac { 6 } { 15 }$ 
A)  $1 \frac { 8 } { 15 }$ 
B) 1 $1 \frac { 4 } { 45 }$ 
C)  $\frac { 8 } { 15 }$ 
D)  $\frac { 6 } { 15 }$

Question 5

Divide. Write the answer in simplest form.
-$\frac { 16 } { 5 } \div \frac { 4 } { 5 }$

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Draw and shade a part of a diagram to represent the figure.
-$\frac { 3 } { 8 }$ of a d of a diagram

Accepted Answer

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

Question 8

Fill in the blank with one of the words or phrases listed below. $\begin{array}{llll}
\text { mixed number } & \text { equivalent } & 0 & \text { undefined } \
\text { composite number } & \text { improper fraction } & \text { simplest form } & \text { prime factorization } \
\text { prime number } & \text { proper fraction } & \text { numerator } & \text { denominator }\
\text { reciprocals } & \text { cross products }
\end{array}$
-In the fractiontion $\frac { 7 } { 9 },$ , the 7  is called ___________the and the 9 is called the___________ .

Accepted Answer

A) denominator, numerator 
B) numerator, prime number 
C) composite number, prime number 
D) numerator, denominator 
A) denominator, numerator 
B) numerator, prime number 
C) composite number, prime number 
D) numerator, denominator

Question 9

Simplify.
-$\frac { 11 } { 0 }$

Accepted Answer

A)  $\frac { 1 } { 11 }$ 
B) 11 
C) 0 
D) undefined 
A)  $\frac { 1 } { 11 }$ 
B) 11 
C) 0 
D) undefined

Question 10

Solve. Write the fractions in simplest form.
-A company employs 144,000 employees worldwide. About 36,000 employees work in the United States. What fraction of the employees work in the United States?

Accepted Answer

A)  $\frac { 5 } { 2 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 36,000 } { 144,000 }$ 
D)  $\frac { 1 } { 40 }$ 
A)  $\frac { 5 } { 2 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 36,000 } { 144,000 }$ 
D)  $\frac { 1 } { 40 }$

Question 11

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

Accepted Answer

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

Question 12

List all the factors of the number.
-30

Accepted Answer

A) 1, 2, 3, 5, 6, 10, 15, 30 
B) 1, 5, 6, 30 
C) 1, 2, 3, 5, 6, 10, 20, 30 
D) 5, 6, 10, 30 
A) 1, 2, 3, 5, 6, 10, 15, 30 
B) 1, 5, 6, 30 
C) 1, 2, 3, 5, 6, 10, 20, 30 
D) 5, 6, 10, 30

Question 13

List all the factors of the number.
-63

Accepted Answer

A) 1, 3, 7, 9, 21, 63 
B) 3, 5, 7, 9, 11, 21, 63 
C) 1, 2, 3, 7, 9, 21, 36, 63 
D) 1, 3, 5, 7, 9, 11, 21, 63 
A) 1, 3, 7, 9, 21, 63 
B) 3, 5, 7, 9, 11, 21, 63 
C) 1, 2, 3, 7, 9, 21, 36, 63 
D) 1, 3, 5, 7, 9, 11, 21, 63

Question 14

Determine whether the pair of fractions is equivalent.
-$\frac { 5 } { 7 } \text { and } \frac { 75 } { 140 }$

Accepted Answer

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

Question 15

Solve. Write the answer in simplest form.
-Find the area of each rectangle. Write the answer in simplest form. Recall that the area = (length)· (width).

Accepted Answer

A)  $\frac { 2 } { 11 } \text { square foot }$ 
B)  $\frac { 1 } { 2 } \text { square foot }$ 
C)  $\frac { 3 } { 7 } \text { square foot }$ 
D)  $\frac { 6 } { 33 } \text { square foot }$ 
A)  $\frac { 2 } { 11 } \text { square foot }$ 
B)  $\frac { 1 } { 2 } \text { square foot }$ 
C)  $\frac { 3 } { 7 } \text { square foot }$ 
D)  $\frac { 6 } { 33 } \text { square foot }$

Question 16

Identify the numerator and the denominator of the fraction.
-$\frac { 6 } { 5 }$

Accepted Answer

A)  Numerator 5
Denominator 6 
B)  Numerator $\frac { 5 } { 6 }$
Denominator 6 
C)  Numerator 11
Denominator 1 
D)  Numerator 6
Denominator 5 
A)  Numerator 5
Denominator 6 
B)  Numerator $\frac { 5 } { 6 }$
Denominator 6 
C)  Numerator 11
Denominator 1 
D)  Numerator 6
Denominator 5

Question 17

Multiply. Write the answer in simplest form.
-$\frac { 1 } { 2 } \cdot \frac { 3 } { 7 } \cdot \frac { 6 } { 14 } \cdot \frac { 28 } { 2 }$

Accepted Answer

A)  $\frac { 7 } { 9 }$ 
B)  $\frac { 38 } { 25 }$ 
C)  $\frac { 9 } { 7 }$ 
D)  $\frac { 3 } { 14 }$ 
A)  $\frac { 7 } { 9 }$ 
B)  $\frac { 38 } { 25 }$ 
C)  $\frac { 9 } { 7 }$ 
D)  $\frac { 3 } { 14 }$

Question 18

Write the fraction in simplest form.
-$\frac { 286 } { 33 }$

Accepted Answer

A)  $\frac { 26 } { 3 }$ 
B)  $\frac { 26 } { 11 }$ 
C) 26 
D)  $\frac { 11 } { 3 }$ 
A)  $\frac { 26 } { 3 }$ 
B)  $\frac { 26 } { 11 }$ 
C) 26 
D)  $\frac { 11 } { 3 }$

Question 19

Solve.
-On a recent trip, Asha drove 206 miles oon $12 \frac { 1 } { 6 }$ gallons of gasoline. How many miles per gallon did she average?

Accepted Answer

A)  $412 \frac { 1 } { 6 } \text { miles per gallon }$ 
B)  $16 \frac { 68 } { 73 } \text { miles per gallon }$ 
C)  $\frac { 73 } { 1236 } \text { miles per gallon }$ 
D)  $2506 \frac { 1 } { 3 } \text { miles per gallon }$ 
A)  $412 \frac { 1 } { 6 } \text { miles per gallon }$ 
B)  $16 \frac { 68 } { 73 } \text { miles per gallon }$ 
C)  $\frac { 73 } { 1236 } \text { miles per gallon }$ 
D)  $2506 \frac { 1 } { 3 } \text { miles per gallon }$

Question 20

Identify the number as prime or composite.
-53

Accepted Answer

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

Find the prime factorization of the number. Write any repeated factors using exponents. -24,975

Multiply. Write the answer in simplest form. -1 15 · 49

Divide. Write the answer in simplest form. - $\frac { 16 } { 5 } \div \frac { 4 } { 5 }$

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

Draw and shade a part of a diagram to represent the figure. - $\frac { 3 } { 8 }$ of a d of a diagram

Simplify. - $\frac { 11 } { 0 }$

Solve. Write the fractions in simplest form. -A company employs 144,000 employees worldwide. About 36,000 employees work in the United States. What fraction of the employees work in the United States?

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

List all the factors of the number. -30

List all the factors of the number. -63

Determine whether the pair of fractions is equivalent. - $\frac { 5 } { 7 } \text { and } \frac { 75 } { 140 }$

Solve. Write the answer in simplest form. -Find the area of each rectangle. Write the answer in simplest form. Recall that the area = (length)· (width).

Identify the numerator and the denominator of the fraction. - $\frac { 6 } { 5 }$

Multiply. Write the answer in simplest form. - $\frac { 1 } { 2 } \cdot \frac { 3 } { 7 } \cdot \frac { 6 } { 14 } \cdot \frac { 28 } { 2 }$

Write the fraction in simplest form. - $\frac { 286 } { 33 }$

Solve. -On a recent trip, Asha drove 206 miles oon $12 \frac { 1 } { 6 }$ gallons of gasoline. How many miles per gallon did she average?

Identify the number as prime or composite. -53

The Whole Numbers

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Exam 2: Multiplying and Dividing Fractions