Question 1

Multiply. Write the answer in simplest form.
-$1 \frac { 1 } { 5 } \cdot 5 \cdot \frac { 3 } { 7 }$

Accepted Answer

A)  $6 \frac { 4 } { 7 }$ 
B)  $5 \frac { 7 } { 15 }$ 
C)  $5 \frac { 4 } { 7 }$ 
D)  $2 \frac { 4 } { 7 }$ 
A)  $6 \frac { 4 } { 7 }$ 
B)  $5 \frac { 7 } { 15 }$ 
C)  $5 \frac { 4 } { 7 }$ 
D)  $2 \frac { 4 } { 7 }$

Question 2

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

Accepted Answer

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

Question 3

Fill in the blank with one of the words or phrases listed below. $\begin{array}{llll}
\text { mixed number } & \text { equivalent } & 0 & \text { undefined } \
\text { composite number } & \text { improper fraction } & \text { simplest form } & \text { prime factorization } \
\text { prime number } & \text { proper fraction } & \text { numerator } & \text { denominator }\
\text { reciprocals } & \text { cross products }
\end{array}$
-InIn $\frac { a } { b } = \frac { c } { d ^ {} },$ , a a· d and b · c are called___________ .

Accepted Answer

A) cross products 
B) prime factorization 
C) reciprocals 
D) simplest form 
A) cross products 
B) prime factorization 
C) reciprocals 
D) simplest form

Question 4

Solve. Write the answer in simplest form.
-Find the area of the rectangle. Write the answer in simplest form. Recall that the area = (length)· (width).   A = $\frac { 4 } { 5 } \text { foot }$ B = $\frac { 1 } { 2 } \text { foot }$

Accepted Answer

A)  $\frac { 2 } { 5 } \text { square foot }$ 
B)  $\frac { 5 } { 7 } \text { square foot }$ 
C)  $\frac { 4 } { 10 } \text { square foot }$ 
D)  $\frac { 4 } { 7 } \text { square foot }$ 
A)  $\frac { 2 } { 5 } \text { square foot }$ 
B)  $\frac { 5 } { 7 } \text { square foot }$ 
C)  $\frac { 4 } { 10 } \text { square foot }$ 
D)  $\frac { 4 } { 7 } \text { square foot }$

Question 5

Perform the indicated operation. Write the answer in simplest form.
-$2 \frac { 8 } { 9 } \div 13$

Accepted Answer

A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 2 } { 8 }$ 
C)  $\frac { 3 } { 9 }$ 
D)  $\frac { 1 } { 9 }$ 
A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 2 } { 8 }$ 
C)  $\frac { 3 } { 9 }$ 
D)  $\frac { 1 } { 9 }$

Question 6

Determine whether the pair of fractions is equivalent.
-$\frac { 5 } { 9 } \text { and } \frac { 15 } { 27 }$

Accepted Answer

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

Question 7

Find the prime factorization of the number. Write any repeated factors using exponents.
-275

Accepted Answer

A)  $5 ^ { 3 } \cdot 11$ 
B) 5 ·11 
C)  $5 ^ { 2 } \cdot 11$ 
D)  $5 \cdot 11 ^ { 2 }$ 
A)  $5 ^ { 3 } \cdot 11$ 
B) 5 ·11 
C)  $5 ^ { 2 } \cdot 11$ 
D)  $5 \cdot 11 ^ { 2 }$

Question 8

Determine whether the pair of fractions is equivalent.
-$\frac { 3 } { 8 } \text { and } \frac { 39 } { 104 }$

Accepted Answer

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

Question 9

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

Accepted Answer

A)  $\frac { 25 } { 4 }$ 
B)  $\frac { 29 } { 4 }$ 
C)  $\frac { 25 } { 5 }$ 
D)  $\frac { 29 } { 5 }$ 
A)  $\frac { 25 } { 4 }$ 
B)  $\frac { 29 } { 4 }$ 
C)  $\frac { 25 } { 5 }$ 
D)  $\frac { 29 } { 5 }$

Question 10

Multiply. Write the answer in simplest form.
-$\frac { 1 } { 3 } \cdot \frac { 4 } { 5 } \cdot \frac { 2 } { 5 }$

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 8 } { 75 }$ 
C)  $\frac { 8 } { 13 }$ 
D)  $\frac { 4 } { 75 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 8 } { 75 }$ 
C)  $\frac { 8 } { 13 }$ 
D)  $\frac { 4 } { 75 }$

Question 11

Solve.
-On a recent trip, Asha drove 258 miles oon $8 \frac { 1 } { 9 }$ g gallons of gasoline. How many miles per gallon did she average?

Accepted Answer

A)  $2092 \frac { 2 } { 3 } \text { miles per gallon }$ 
B)  $\frac { 73 } { 2322 } \text { miles per gallon }$ 
C)  $31 \frac { 59 } { 73 } \text { miles per gallon }$ 
D)  $229 \frac { 4 } { 9 } \text { miles per gallon }$ 
A)  $2092 \frac { 2 } { 3 } \text { miles per gallon }$ 
B)  $\frac { 73 } { 2322 } \text { miles per gallon }$ 
C)  $31 \frac { 59 } { 73 } \text { miles per gallon }$ 
D)  $229 \frac { 4 } { 9 } \text { miles per gallon }$

Question 12

List all the factors of the number.
-2

Accepted Answer

A) no factors 
B) 1, 2 
C) 2 
D) 1 
A) no factors 
B) 1, 2 
C) 2 
D) 1

Question 13

Find the prime factorization of the number. Write any repeated factors using exponents.
-36

Accepted Answer

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

Question 14

Multiply. Write the answer in simplest form.
-$6 \cdot 9 \frac { 9 } { 16 }$

Accepted Answer

A)  $57 \frac { 3 } { 8 }$ 
B)  $15 \frac { 3 } { 8 }$ 
C)  $54 \frac { 9 } { 16 }$ 
D)  $57 \frac { 5 } { 8 }$ 
A)  $57 \frac { 3 } { 8 }$ 
B)  $15 \frac { 3 } { 8 }$ 
C)  $54 \frac { 9 } { 16 }$ 
D)  $57 \frac { 5 } { 8 }$

Question 15

Write the mixed number as an improper fraction.
-$205 \frac { 3 } { 7 }$

Accepted Answer

A) 615 
B)  $\frac { 615 } { 7 }$ 
C) 208 
D)  $\frac { 1438 } { 7 }$ 
A) 615 
B)  $\frac { 615 } { 7 }$ 
C) 208 
D)  $\frac { 1438 } { 7 }$

Question 16

Write the fraction in simplest form.
-$\frac { 520 } { 600 }$

Accepted Answer

A)  $\frac { 15 } { 13 }$ 
B)  $\frac { 600 } { 520 }$ 
C)  $\frac { 520 } { 600 }$ 
D)  $\frac { 13 } { 15 }$ 
A)  $\frac { 15 } { 13 }$ 
B)  $\frac { 600 } { 520 }$ 
C)  $\frac { 520 } { 600 }$ 
D)  $\frac { 13 } { 15 }$

Question 17

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

Accepted Answer

A)  $\frac { 7 } { 16 }$ 
B)  $\frac { 9 } { 16 }$ 
C)  $\frac { 9 } { 7 }$ 
D)  $\frac { 7 } { 9 }$ 
A)  $\frac { 7 } { 16 }$ 
B)  $\frac { 9 } { 16 }$ 
C)  $\frac { 9 } { 7 }$ 
D)  $\frac { 7 } { 9 }$

Question 18

Draw and shade a part of a diagram to represent the figure.
-$\frac { 8 } { 11 }$ of a d of a diagram

Accepted Answer

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

Question 19

Write the fraction in simplest form.
-$\frac { 55 } { 77 }$

Accepted Answer

A)  $\frac { 5 } { 11 }$ 
B)  $\frac { 55 } { 77 }$ 
C)  $\frac { 11 } { 7 }$ 
D)  $\frac { 5 } { 7 }$ 
A)  $\frac { 5 } { 11 }$ 
B)  $\frac { 55 } { 77 }$ 
C)  $\frac { 11 } { 7 }$ 
D)  $\frac { 5 } { 7 }$

Question 20

List all the factors of the number.
-15

Accepted Answer

A) 1, 15 
B) 3, 5, 15 
C) 1, 3, 5, 15 
D) 3, 5 
A) 1, 15 
B) 3, 5, 15 
C) 1, 3, 5, 15 
D) 3, 5

Multiply. Write the answer in simplest form. - $1 \frac { 1 } { 5 } \cdot 5 \cdot \frac { 3 } { 7 }$

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

Perform the indicated operation. Write the answer in simplest form. - $2 \frac { 8 } { 9 } \div 13$

Determine whether the pair of fractions is equivalent. - $\frac { 5 } { 9 } \text { and } \frac { 15 } { 27 }$

Find the prime factorization of the number. Write any repeated factors using exponents. -275

Determine whether the pair of fractions is equivalent. - $\frac { 3 } { 8 } \text { and } \frac { 39 } { 104 }$

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

Multiply. Write the answer in simplest form. - $\frac { 1 } { 3 } \cdot \frac { 4 } { 5 } \cdot \frac { 2 } { 5 }$

Solve. -On a recent trip, Asha drove 258 miles oon $8 \frac { 1 } { 9 }$ g gallons of gasoline. How many miles per gallon did she average?

List all the factors of the number. -2

Find the prime factorization of the number. Write any repeated factors using exponents. -36

Multiply. Write the answer in simplest form. - $6 \cdot 9 \frac { 9 } { 16 }$

Write the mixed number as an improper fraction. - $205 \frac { 3 } { 7 }$

Write the fraction in simplest form. - $\frac { 520 } { 600 }$

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

Draw and shade a part of a diagram to represent the figure. - $\frac { 8 } { 11 }$ of a d of a diagram

Write the fraction in simplest form. - $\frac { 55 } { 77 }$

List all the factors of the number. -15

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

Multiply. Write the answer in simplest form. - 115⋅5⋅371 \frac { 1 } { 5 } \cdot 5 \cdot \frac { 3 } { 7 }151​⋅5⋅73​

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

Solve. Write the answer in simplest form. -Find the area of the rectangle. Write the answer in simplest form. Recall that the area = (length)· (width). A = 45 foot \frac { 4 } { 5 } \text { foot }54​ foot B = 12 foot \frac { 1 } { 2 } \text { foot }21​ foot

Perform the indicated operation. Write the answer in simplest form. - 289÷132 \frac { 8 } { 9 } \div 13298​÷13

Determine whether the pair of fractions is equivalent. - 59 and 1527\frac { 5 } { 9 } \text { and } \frac { 15 } { 27 }95​ and 2715​

Find the prime factorization of the number. Write any repeated factors using exponents. -275

Determine whether the pair of fractions is equivalent. - 38 and 39104\frac { 3 } { 8 } \text { and } \frac { 39 } { 104 }83​ and 10439​

Write the mixed number as an improper fraction. - 5455 \frac { 4 } { 5 }554​

Multiply. Write the answer in simplest form. - 13⋅45⋅25\frac { 1 } { 3 } \cdot \frac { 4 } { 5 } \cdot \frac { 2 } { 5 }31​⋅54​⋅52​

Solve. -On a recent trip, Asha drove 258 miles oon 8198 \frac { 1 } { 9 }891​ g gallons of gasoline. How many miles per gallon did she average?

List all the factors of the number. -2

Find the prime factorization of the number. Write any repeated factors using exponents. -36

Multiply. Write the answer in simplest form. - 6⋅99166 \cdot 9 \frac { 9 } { 16 }6⋅9169​

Write the mixed number as an improper fraction. - 20537205 \frac { 3 } { 7 }20573​

Write the fraction in simplest form. - 520600\frac { 520 } { 600 }600520​

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

Draw and shade a part of a diagram to represent the figure. - 811\frac { 8 } { 11 }118​ of a d of a diagram

Write the fraction in simplest form. - 5577\frac { 55 } { 77 }7755​

List all the factors of the number. -15

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

Multiply. Write the answer in simplest form. - $1 \frac { 1 } { 5 } \cdot 5 \cdot \frac { 3 } { 7 }$

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

Perform the indicated operation. Write the answer in simplest form. - $2 \frac { 8 } { 9 } \div 13$

Determine whether the pair of fractions is equivalent. - $\frac { 5 } { 9 } \text { and } \frac { 15 } { 27 }$

Determine whether the pair of fractions is equivalent. - $\frac { 3 } { 8 } \text { and } \frac { 39 } { 104 }$

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

Multiply. Write the answer in simplest form. - $\frac { 1 } { 3 } \cdot \frac { 4 } { 5 } \cdot \frac { 2 } { 5 }$

Solve. -On a recent trip, Asha drove 258 miles oon $8 \frac { 1 } { 9 }$ g gallons of gasoline. How many miles per gallon did she average?

Multiply. Write the answer in simplest form. - $6 \cdot 9 \frac { 9 } { 16 }$

Write the mixed number as an improper fraction. - $205 \frac { 3 } { 7 }$

Write the fraction in simplest form. - $\frac { 520 } { 600 }$

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

Draw and shade a part of a diagram to represent the figure. - $\frac { 8 } { 11 }$ of a d of a diagram

Write the fraction in simplest form. - $\frac { 55 } { 77 }$