Question 1

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)  $\frac { 2 } { 21 }$ D

Question 2

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)  $- \frac { 14 } { 15 }$ E

Question 3

A sandwich shop sells a $\frac { 1 } { 2 }$  pound club sandwich, made up of turkey and ham. The owner buys the turkey in $2 \frac { 1 } { 2 }$  pound packages and the ham in $3 \frac { 5 } { 8 }$  pound packages. If he mixes a package of each of the meats together, how many sandwiches can he make from the mixture?

Accepted Answer

A)  $12 \frac { 1 } { 4 }$  sandwiches 
B)  $9 \frac { 1 } { 3 }$  sandwiches 
C)  $15 \frac { 1 } { 11 }$  sandwiches 
D)  $13 \frac { 1 } { 7 }$  sandwiches 
E)  $12 \frac { 1 } { 5 }$  sandwiches 
A)  $12 \frac { 1 } { 4 }$  sandwiches 
B)  $9 \frac { 1 } { 3 }$  sandwiches 
C)  $15 \frac { 1 } { 11 }$  sandwiches 
D)  $13 \frac { 1 } { 7 }$  sandwiches 
E)  $12 \frac { 1 } { 5 }$  sandwiches A

Question 4

Simplify the fraction to lowest terms. $\frac { 24 } { 60 }$

Accepted Answer

A)  $\frac { 2 } { 4 }$ 
B)  $\frac { 8 } { 20 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 6 } { 15 }$ 
E)  Does not simplify further. 
A)  $\frac { 2 } { 4 }$ 
B)  $\frac { 8 } { 20 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 6 } { 15 }$ 
E)  Does not simplify further.

Question 5

Divide. $5 \frac { 1 } { 5 } \div 4 \frac { 1 } { 4 }$

Accepted Answer

A)  $\frac { 65 } { 34 }$ 
B)  $\frac { 13 } { 10 }$ 
C)  $\frac { 20 } { 17 }$ 
D)  $\frac { 5 } { 4 }$ 
E)  $\frac { 104 } { 85 }$ 
A)  $\frac { 65 } { 34 }$ 
B)  $\frac { 13 } { 10 }$ 
C)  $\frac { 20 } { 17 }$ 
D)  $\frac { 5 } { 4 }$ 
E)  $\frac { 104 } { 85 }$

Question 6

Write the number as a fraction with the indicated denominator.
 3  as halves

Accepted Answer

A)  $\frac { 6 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
E)  $\frac { 2 } { 6 }$ 
A)  $\frac { 6 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
E)  $\frac { 2 } { 6 }$

Question 7

Find the sum. $\begin{array} { r } 
76 \frac { 3 } { 11 } \
\
+ \quad 276 \frac { 2 } { 7 } \
\hline
\end{array}$

Accepted Answer

A)  $352 \frac { 3 } { 11 }$ 
B)  $352 \frac { 43 } { 77 }$ 
C)  $353 \frac { 43 } { 77 }$ 
D)  $352 \frac { 5 } { 77 }$ 
E)  $352 \frac { 43 } { 11 }$ 
A)  $352 \frac { 3 } { 11 }$ 
B)  $352 \frac { 43 } { 77 }$ 
C)  $353 \frac { 43 } { 77 }$ 
D)  $352 \frac { 5 } { 77 }$ 
E)  $352 \frac { 43 } { 11 }$

Question 8

Insert one of the symbols , or = in the blank. $\left| - 3 \frac { 1 } { 3 } \right|$ _____ $\frac { 10 } { 3 }$

Accepted Answer

A)  = 
B)  > 
C) . 
A)  = 
B)  > 
C) .

Question 9

In the fraction $\frac { 2 } { 5 }$ , the numerator is __________.

Accepted Answer

The answer of In the fraction \(\frac { 2 }...

Question 10

Each lap around a stadium track is $\frac { 1 } { 7 }$ mile. How many laps would a runner have to complete to get a 42-mile workout? 
__________ laps

Accepted Answer

The answer of Each lap around a stadium track is...

Question 11

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 12

Divide. $- 1 \frac { 1 } { 3 } \div 2 \frac { 1 } { 4 }$

Accepted Answer

A)  $- \frac { 16 } { 27 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- \frac { 4 } { 9 }$ 
D)  $- \frac { 1 } { 2 }$ 
E)  $\frac { 16 } { 27 }$ 
A)  $- \frac { 16 } { 27 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- \frac { 4 } { 9 }$ 
D)  $- \frac { 1 } { 2 }$ 
E)  $\frac { 16 } { 27 }$

Question 13

Simplify the complex fraction. $\frac { \frac { 2 } { 7 } } { \frac { 1 } { 3 } }$

Accepted Answer

A)  $\frac { 6 } { 7 }$ 
B)  $1 \frac { 1 } { 6 }$ 
C)  $\frac { 2 } { 21 }$ 
D)  $10 \frac { 1 } { 2 }$ 
E)  $\frac { 2 } { 3 }$ 
A)  $\frac { 6 } { 7 }$ 
B)  $1 \frac { 1 } { 6 }$ 
C)  $\frac { 2 } { 21 }$ 
D)  $10 \frac { 1 } { 2 }$ 
E)  $\frac { 2 } { 3 }$

Question 14

Evaluate the expression. $\left( 1 - \frac { 1 } { 4 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 4 } \right) ^ { 2 }$

Accepted Answer

A)  $2 \frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $3 \frac { 1 } { 8 }$ 
D)  $1 \frac { 1 } { 8 }$ 
E)  $1 \frac { 1 } { 16 }$ 
A)  $2 \frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $3 \frac { 1 } { 8 }$ 
D)  $1 \frac { 1 } { 8 }$ 
E)  $1 \frac { 1 } { 16 }$

Question 15

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 17 } - \frac { 7 } { 85 }$

Accepted Answer

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

Question 16

The probability that a couple will have n baby boys in a row is given by the formula $\left( \frac { 1 } { 2 } \right) ^ { n }$ .  Find the probability that a couple will have 5 baby boys in a row.

Accepted Answer

A)  $\frac { 1 } { 20 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 1 } { 32 }$ 
D)  $\frac { 1 } { 25 }$ 
E)  32 
A)  $\frac { 1 } { 20 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 1 } { 32 }$ 
D)  $\frac { 1 } { 25 }$ 
E)  32

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

Subtract the following mixed numbers. $\begin{array} { r } 
5 \frac { 2 } { 3 } \
\
- \quad 4 \frac { 3 } { 8 } \
\hline
\end{array}$

Accepted Answer

A)  $1 \frac { 7 } { 24 }$ 
B)  $\frac { 7 } { 24 }$ 
C)  $1 \frac { 1 } { 24 }$ 
D)  $2$ 
E)  $1 \frac { 1 } { 4 }$ 
A)  $1 \frac { 7 } { 24 }$ 
B)  $\frac { 7 } { 24 }$ 
C)  $1 \frac { 1 } { 24 }$ 
D)  $2$ 
E)  $1 \frac { 1 } { 4 }$

Question 19

We read $7 \frac { 5 } { 6 }$  as " $\text { seven }$ ____ $\text { five }$ -__________."

Accepted Answer

The answer of We read \(7 \frac { 5 }...

Question 20

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)  $\frac { 17 } { 30 }$

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

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

Simplify the fraction to lowest terms. $\frac { 24 } { 60 }$

Divide. $5 \frac { 1 } { 5 } \div 4 \frac { 1 } { 4 }$

Write the number as a fraction with the indicated denominator. 3 as halves

Find the sum. 76 +276

Insert one of the symbols , or = in the blank. $\left| - 3 \frac { 1 } { 3 } \right|$ _____ $\frac { 10 } { 3 }$

In the fraction $\frac { 2 } { 5 }$ , the numerator is __________.

Each lap around a stadium track is $\frac { 1 } { 7 }$ mile. How many laps would a runner have to complete to get a 42-mile workout? __________ laps

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

Divide. $- 1 \frac { 1 } { 3 } \div 2 \frac { 1 } { 4 }$

Simplify the complex fraction. $\frac { \frac { 2 } { 7 } } { \frac { 1 } { 3 } }$

Evaluate the expression. $\left( 1 - \frac { 1 } { 4 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 4 } \right) ^ { 2 }$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 17 } - \frac { 7 } { 85 }$

The probability that a couple will have n baby boys in a row is given by the formula $\left( \frac { 1 } { 2 } \right) ^ { n }$ . Find the probability that a couple will have 5 baby boys in a row.

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

Subtract the following mixed numbers. 5 -4

We read $7 \frac { 5 } { 6 }$ as " $\text { seven }$ $\text { five }$ -______."

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

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Exam 3: Fractions and Mixed Numbers

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

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

Simplify the fraction to lowest terms. 2460\frac { 24 } { 60 }6024​

Divide. 515÷4145 \frac { 1 } { 5 } \div 4 \frac { 1 } { 4 }551​÷441​

Write the number as a fraction with the indicated denominator. 3 as halves

Find the sum. 76 +276

Insert one of the symbols , or = in the blank. ∣−313∣\left| - 3 \frac { 1 } { 3 } \right|​−331​​ _____ 103\frac { 10 } { 3 }310​

In the fraction 25\frac { 2 } { 5 }52​ , the numerator is __________.

Each lap around a stadium track is 17\frac { 1 } { 7 }71​ mile. How many laps would a runner have to complete to get a 42-mile workout? __________ laps

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

Divide. −113÷214- 1 \frac { 1 } { 3 } \div 2 \frac { 1 } { 4 }−131​÷241​

Simplify the complex fraction. 2713\frac { \frac { 2 } { 7 } } { \frac { 1 } { 3 } }31​72​​

Evaluate the expression. (1−14)2+(1+14)2\left( 1 - \frac { 1 } { 4 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 4 } \right) ^ { 2 }(1−41​)2+(1+41​)2

Subtract as indicated, and express your answer in lowest terms. −217−785- \frac { 2 } { 17 } - \frac { 7 } { 85 }−172​−857​

The probability that a couple will have n baby boys in a row is given by the formula (12)n\left( \frac { 1 } { 2 } \right) ^ { n }(21​)n . Find the probability that a couple will have 5 baby boys in a row.

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​)​​

Subtract the following mixed numbers. 5 -4

We read 7567 \frac { 5 } { 6 }765​ as " seven \text { seven } seven ____ five \text { five } five -__________."

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

Whole Numbers

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Ratio, Proportion, and Measurement

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Graphs, Statistics, and Probability

An Introduction to Algebra

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

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

Simplify the fraction to lowest terms. $\frac { 24 } { 60 }$

Divide. $5 \frac { 1 } { 5 } \div 4 \frac { 1 } { 4 }$

Insert one of the symbols , or = in the blank. $\left| - 3 \frac { 1 } { 3 } \right|$ _____ $\frac { 10 } { 3 }$

In the fraction $\frac { 2 } { 5 }$ , the numerator is __________.

Each lap around a stadium track is $\frac { 1 } { 7 }$ mile. How many laps would a runner have to complete to get a 42-mile workout? __________ laps

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

Divide. $- 1 \frac { 1 } { 3 } \div 2 \frac { 1 } { 4 }$

Simplify the complex fraction. $\frac { \frac { 2 } { 7 } } { \frac { 1 } { 3 } }$

Evaluate the expression. $\left( 1 - \frac { 1 } { 4 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 4 } \right) ^ { 2 }$

Subtract as indicated, and express your answer in lowest terms. $- \frac { 2 } { 17 } - \frac { 7 } { 85 }$

The probability that a couple will have n baby boys in a row is given by the formula $\left( \frac { 1 } { 2 } \right) ^ { n }$ . Find the probability that a couple will have 5 baby boys in a row.

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

We read $7 \frac { 5 } { 6 }$ as " $\text { seven }$ $\text { five }$ -______."

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