Question 1

Find the quotient. $\frac { 7 } { 3 } \div \left( - \frac { 5 } { 2 } \right)$

Accepted Answer

A)  $\frac { 19 } { 14 }$ 
B)  $- \frac { 16 } { 20 }$ 
C)  $- \frac { 35 } { 6 }$ 
D)  $- \frac { 13 } { 18 }$ 
E)  $- \frac { 14 } { 15 }$ 
A)  $\frac { 19 } { 14 }$ 
B)  $- \frac { 16 } { 20 }$ 
C)  $- \frac { 35 } { 6 }$ 
D)  $- \frac { 13 } { 18 }$ 
E)  $- \frac { 14 } { 15 }$

Question 2

Simplify the complex fraction. $\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }$

Accepted Answer

A)  -7 
B)  7 
C)  -5 
D)  5 
E)  13 
A)  -7 
B)  7 
C)  -5 
D)  5 
E)  13

Question 3

The speed limit in Mississippi on a state highway is 75 mph. At this speed, how far could a car travel in $3 \frac { 1 } { 2 }$ hours? 
________ miles

Accepted Answer

The answer of The speed limit in Mississippi on a...

Question 4

Perform the multiplication. Simplify the result when possible. $\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }$

Accepted Answer

A)  $\frac { 7 } { 6 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  $\frac { 7 } { 8 }$ 
D)  $\frac { 8 } { 7 }$ 
E)  $\frac { 4 } { 3 }$ 
A)  $\frac { 7 } { 6 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  $\frac { 7 } { 8 }$ 
D)  $\frac { 8 } { 7 }$ 
E)  $\frac { 4 } { 3 }$

Question 5

Multiply and reduce your answer to lowest terms. $- \frac { 72 } { 5 } \cdot \frac { 7 } { 36 } \cdot \frac { 1 } { 14 }$

Accepted Answer

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

Question 6

Write the equivalent of the fraction using a denominator of 21 . $\frac { 2 } { 7 }$

Accepted Answer

A)  $\frac { 21 } { 7 }$ 
B)  $\frac { 1 } { 21 }$ 
C)  $\frac { 21 } { 6 }$ 
D)  $\frac { 6 } { 21 }$ 
E)  $\frac { 2 } { 21 }$ 
A)  $\frac { 21 } { 7 }$ 
B)  $\frac { 1 } { 21 }$ 
C)  $\frac { 21 } { 6 }$ 
D)  $\frac { 6 } { 21 }$ 
E)  $\frac { 2 } { 21 }$

Question 7

Find the sum. $7 \frac { 3 } { 11 } + 7 \frac { 2 } { 11 }$

Accepted Answer

A)  $14 \frac { 5 } { 66 }$ 
B)  $14 \frac { 6 } { 11 }$ 
C)  $14 \frac { 5 } { 11 }$ 
D)  $7 \frac { 5 } { 11 }$ 
E)  $14 \frac { 3 } { 11 }$ 
A)  $14 \frac { 5 } { 66 }$ 
B)  $14 \frac { 6 } { 11 }$ 
C)  $14 \frac { 5 } { 11 }$ 
D)  $7 \frac { 5 } { 11 }$ 
E)  $14 \frac { 3 } { 11 }$

Question 8

Evaluate the formula for $l = 12$  and $w = 8 \frac { 1 } { 4 }$ . A = lw

Accepted Answer

A)  A = 33 
B)  $A = \frac { 33 } { 4 }$ 
C)  $A = \frac { 99 } { 16 }$ 
D)  $A = \frac { 49 } { 4 }$ 
E)  A = 99 
A)  A = 33 
B)  $A = \frac { 33 } { 4 }$ 
C)  $A = \frac { 99 } { 16 }$ 
D)  $A = \frac { 49 } { 4 }$ 
E)  A = 99

Question 9

Tell whether the given number is a solution of the equation. $\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }$ ; $x = 0$

Accepted Answer

A)  non-quantified solution 
B)  unequal solution 
C)  not a solution 
D)  solution 
E)  none of these 
A)  non-quantified solution 
B)  unequal solution 
C)  not a solution 
D)  solution 
E)  none of these

Question 10

A production process applies several layers of a clear acrylic coat to outdoor furniture to help protect it from the weather. If each protective coat is $\frac { 2 } { 27 }$ inch thick, how many applications will be needed to build up $\frac { 2 } { 3 }$ inch of clear finish? 
__________ applications

Accepted Answer

The answer of A production process applies several layers of...

Question 11

Perform the operation. $\frac { 13 } { 9 } \left( - \frac { 54 } { 13 } \right)$

Accepted Answer

A)  $13$ 
B)  $- 6$ 
C)  $- 13$ 
D)  $6$ 
E)  n one of these 
A)  $13$ 
B)  $- 6$ 
C)  $- 13$ 
D)  $6$ 
E)  n one of these

Question 12

The surface of planet Zafar covers an area of approximately 121,447,000 square miles. About $\frac { 2 } { 5 }$ of that area is covered by water. Find the number of square miles of the surface covered by water. 
__________ square miles

Accepted Answer

The answer of The surface of planet Zafar covers an...

Question 13

Multiply the fractions below and write your answer as an improper fraction. $6 \frac { 1 } { 3 } \cdot 3 \frac { 1 } { 5 }$

Accepted Answer

The answer of Multiply the fractions below and write your...

Question 14

Simplify the following complex fraction.   $\frac { \frac { 3 } { 5 } + \left( - \frac { 2 } { 9 } \right) } { 1 \frac { 1 } { 2 } }$

Accepted Answer

A)  $\frac { 34 } { 137 }$ 
B)  $\frac { 34 } { 135 }$ 
C)  $\frac { 17 } { 70 }$ 
D)  $\frac { 17 } { 69 }$ 
E)  $\frac { 17 } { 30 }$ 
A)  $\frac { 34 } { 137 }$ 
B)  $\frac { 34 } { 135 }$ 
C)  $\frac { 17 } { 70 }$ 
D)  $\frac { 17 } { 69 }$ 
E)  $\frac { 17 } { 30 }$

Question 15

Evaluate the power and write your answer as an improper fraction. $\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }$

Accepted Answer

A)  $- \frac { 27 } { 8 }$ 
B)  $\frac { 8 } { 4 }$ 
C)  $\frac { 27 } { 8 }$ 
D)  $- \frac { 8 } { 4 }$ 
E)  $\frac { 4 } { 8 }$ 
A)  $- \frac { 27 } { 8 }$ 
B)  $\frac { 8 } { 4 }$ 
C)  $\frac { 27 } { 8 }$ 
D)  $- \frac { 8 } { 4 }$ 
E)  $\frac { 4 } { 8 }$

Question 16

Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$

Accepted Answer

A)  $5$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 17 } { 3 }$ 
E)  $\frac { 13 } { 3 }$ 
A)  $5$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 17 } { 3 }$ 
E)  $\frac { 13 } { 3 }$

Question 17

Evaluate the complex fraction. $\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|$

Accepted Answer

A)  $1 \frac { 1 } { 4 }$ 
B)  $1 \frac { 1 } { 5 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 4 } { 5 }$ 
E)  $\frac { 5 } { 6 }$ 
A)  $1 \frac { 1 } { 4 }$ 
B)  $1 \frac { 1 } { 5 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 4 } { 5 }$ 
E)  $\frac { 5 } { 6 }$

Question 18

Multiply and reduce your answer to lowest terms. $\left( - \frac { 2 } { 39 } \right) \cdot \left( - \frac { 13 } { 4 } \right)$

Accepted Answer

A)  $- 6$ 
B)  $- \frac { 1 } { 6 }$ 
C)  $- \frac { 1 } { 26 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $6$ 
A)  $- 6$ 
B)  $- \frac { 1 } { 6 }$ 
C)  $- \frac { 1 } { 26 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $6$

Question 19

Each region outlined in black represents one whole. Write an improper fraction and a mixed number to represent the shaded portion.

Accepted Answer

The answer of Each region outlined in black represents one...

Question 20

How many inches of molding are needed to produce the square picture frame shown?   where $a = 14 \frac { 1 } { 8 }$ .

Accepted Answer

A)  $196 \frac { 1 } { 2 }$ in. 
B)  $56 \frac { 1 } { 2 }$ in. 
C)  $28 \frac { 1 } { 4 }$ in. 
D)  $55 \frac { 7 } { 8 }$  in. 
E)  $14 \frac { 1 } { 64 }$  in. 
A)  $196 \frac { 1 } { 2 }$ in. 
B)  $56 \frac { 1 } { 2 }$ in. 
C)  $28 \frac { 1 } { 4 }$ in. 
D)  $55 \frac { 7 } { 8 }$  in. 
E)  $14 \frac { 1 } { 64 }$  in.

Find the quotient. $\frac { 7 } { 3 } \div \left( - \frac { 5 } { 2 } \right)$

Simplify the complex fraction. $\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }$

The speed limit in Mississippi on a state highway is 75 mph. At this speed, how far could a car travel in $3 \frac { 1 } { 2 }$ hours? ________ miles

Perform the multiplication. Simplify the result when possible. $\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }$

Multiply and reduce your answer to lowest terms. $- \frac { 72 } { 5 } \cdot \frac { 7 } { 36 } \cdot \frac { 1 } { 14 }$

Write the equivalent of the fraction using a denominator of 21 . $\frac { 2 } { 7 }$

Find the sum. $7 \frac { 3 } { 11 } + 7 \frac { 2 } { 11 }$

Evaluate the formula for $l = 12$ and $w = 8 \frac { 1 } { 4 }$ . A = lw

Tell whether the given number is a solution of the equation. $\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }$ ; $x = 0$

A production process applies several layers of a clear acrylic coat to outdoor furniture to help protect it from the weather. If each protective coat is $\frac { 2 } { 27 }$ inch thick, how many applications will be needed to build up $\frac { 2 } { 3 }$ inch of clear finish? __________ applications

Perform the operation. $\frac { 13 } { 9 } \left( - \frac { 54 } { 13 } \right)$

The surface of planet Zafar covers an area of approximately 121,447,000 square miles. About $\frac { 2 } { 5 }$ of that area is covered by water. Find the number of square miles of the surface covered by water. __________ square miles

Multiply the fractions below and write your answer as an improper fraction. $6 \frac { 1 } { 3 } \cdot 3 \frac { 1 } { 5 }$

Simplify the following complex fraction. $Simplify the following complex fraction. \frac { \frac { 3 } { 5 } + \left( - \frac { 2 } { 9 } \right) } { 1 \frac { 1 } { 2 } }$ $\frac { \frac { 3 } { 5 } + \left( - \frac { 2 } { 9 } \right) } { 1 \frac { 1 } { 2 } }$

Evaluate the power and write your answer as an improper fraction. $\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }$

Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$

Evaluate the complex fraction. $\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|$

Multiply and reduce your answer to lowest terms. $\left( - \frac { 2 } { 39 } \right) \cdot \left( - \frac { 13 } { 4 } \right)$

Each region outlined in black represents one whole. Write an improper fraction and a mixed number to represent the shaded portion. $Each region outlined in black represents one whole. Write an improper fraction and a mixed number to represent the shaded portion.$

How many inches of molding are needed to produce the square picture frame shown? $How many inches of molding are needed to produce the square picture frame shown? where a = 14 \frac { 1 } { 8 } .$ where $a = 14 \frac { 1 } { 8 }$ .

Whole Numbers

The Integers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

An Introduction to Geometry

Filters

Exam 3: Fractions and Mixed Numbers

Find the quotient. 73÷(−52)\frac { 7 } { 3 } \div \left( - \frac { 5 } { 2 } \right)37​÷(−25​)

Simplify the complex fraction. 34+1234−12\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }43​−21​43​+21​​

The speed limit in Mississippi on a state highway is 75 mph. At this speed, how far could a car travel in 3123 \frac { 1 } { 2 }321​ hours? ________ miles

Perform the multiplication. Simplify the result when possible. 332⋅403\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }323​⋅340​

Multiply and reduce your answer to lowest terms. −725⋅736⋅114- \frac { 72 } { 5 } \cdot \frac { 7 } { 36 } \cdot \frac { 1 } { 14 }−572​⋅367​⋅141​

Write the equivalent of the fraction using a denominator of 21 . 27\frac { 2 } { 7 }72​

Find the sum. 7311+72117 \frac { 3 } { 11 } + 7 \frac { 2 } { 11 }7113​+7112​

Evaluate the formula for l=12l = 12l=12 and w=814w = 8 \frac { 1 } { 4 }w=841​ . A = lw

Tell whether the given number is a solution of the equation. 3+x9−x=13\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }93+x​−x=31​ ; x=0x = 0x=0

Perform the operation. 139(−5413)\frac { 13 } { 9 } \left( - \frac { 54 } { 13 } \right)913​(−1354​)

The surface of planet Zafar covers an area of approximately 121,447,000 square miles. About 25\frac { 2 } { 5 }52​ of that area is covered by water. Find the number of square miles of the surface covered by water. __________ square miles

Multiply the fractions below and write your answer as an improper fraction. 613⋅3156 \frac { 1 } { 3 } \cdot 3 \frac { 1 } { 5 }631​⋅351​

Simplify the following complex fraction. 35+(−29)112\frac { \frac { 3 } { 5 } + \left( - \frac { 2 } { 9 } \right) } { 1 \frac { 1 } { 2 } }121​53​+(−92​)​

Evaluate the power and write your answer as an improper fraction. (−112)3\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }(−121​)3

Write the mixed number as an improper fraction. 5235 \frac { 2 } { 3 }532​

Evaluate the complex fraction. ∣2(12)34−−12∣\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|​43​−2−1​2(21​)​​

Multiply and reduce your answer to lowest terms. (−239)⋅(−134)\left( - \frac { 2 } { 39 } \right) \cdot \left( - \frac { 13 } { 4 } \right)(−392​)⋅(−413​)

Each region outlined in black represents one whole. Write an improper fraction and a mixed number to represent the shaded portion.

How many inches of molding are needed to produce the square picture frame shown? where a=1418a = 14 \frac { 1 } { 8 }a=1481​ .

Whole Numbers

The Integers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

An Introduction to Geometry

Filters

Find the quotient. $\frac { 7 } { 3 } \div \left( - \frac { 5 } { 2 } \right)$

Simplify the complex fraction. $\frac { \frac { 3 } { 4 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }$

The speed limit in Mississippi on a state highway is 75 mph. At this speed, how far could a car travel in $3 \frac { 1 } { 2 }$ hours? ________ miles

Perform the multiplication. Simplify the result when possible. $\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }$

Multiply and reduce your answer to lowest terms. $- \frac { 72 } { 5 } \cdot \frac { 7 } { 36 } \cdot \frac { 1 } { 14 }$

Write the equivalent of the fraction using a denominator of 21 . $\frac { 2 } { 7 }$

Find the sum. $7 \frac { 3 } { 11 } + 7 \frac { 2 } { 11 }$

Evaluate the formula for $l = 12$ and $w = 8 \frac { 1 } { 4 }$ . A = lw

Tell whether the given number is a solution of the equation. $\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }$ ; $x = 0$

Perform the operation. $\frac { 13 } { 9 } \left( - \frac { 54 } { 13 } \right)$

The surface of planet Zafar covers an area of approximately 121,447,000 square miles. About $\frac { 2 } { 5 }$ of that area is covered by water. Find the number of square miles of the surface covered by water. __________ square miles

Multiply the fractions below and write your answer as an improper fraction. $6 \frac { 1 } { 3 } \cdot 3 \frac { 1 } { 5 }$

Simplify the following complex fraction. $Simplify the following complex fraction. \frac { \frac { 3 } { 5 } + \left( - \frac { 2 } { 9 } \right) } { 1 \frac { 1 } { 2 } }$ $\frac { \frac { 3 } { 5 } + \left( - \frac { 2 } { 9 } \right) } { 1 \frac { 1 } { 2 } }$

Evaluate the power and write your answer as an improper fraction. $\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }$

Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$

Evaluate the complex fraction. $\left| \frac { 2 \left( \frac { 1 } { 2 } \right) } { \frac { 3 } { 4 } - \frac { - 1 } { 2 } } \right|$

Multiply and reduce your answer to lowest terms. $\left( - \frac { 2 } { 39 } \right) \cdot \left( - \frac { 13 } { 4 } \right)$

Each region outlined in black represents one whole. Write an improper fraction and a mixed number to represent the shaded portion. $Each region outlined in black represents one whole. Write an improper fraction and a mixed number to represent the shaded portion.$

How many inches of molding are needed to produce the square picture frame shown? $How many inches of molding are needed to produce the square picture frame shown? where a = 14 \frac { 1 } { 8 } .$ where $a = 14 \frac { 1 } { 8 }$ .