Question 1

Place a > or $\frac { 31 } { 33 }$ __________ $\frac { 32 } { 33 }$ $\frac { 3 } { 5 }$ __________ $\frac { 11 } { 25 }$

Accepted Answer

The answer of Place a > or \(\frac { 31...

Question 2

Write the equivalent of the fraction using a denominator of 26 . $\frac { 10 } { 13 }$

Accepted Answer

A)  $\frac { 26 } { 13 }$ 
B)  $\frac { 1 } { 26 }$ 
C)  $\frac { 26 } { 20 }$ 
D)  $\frac { 20 } { 26 }$ 
E)  $\frac { 10 } { 26 }$ 
A)  $\frac { 26 } { 13 }$ 
B)  $\frac { 1 } { 26 }$ 
C)  $\frac { 26 } { 20 }$ 
D)  $\frac { 20 } { 26 }$ 
E)  $\frac { 10 } { 26 }$

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

Question 4

Perform the addition. Simplify the result when possible. $\frac { 6 } { 11 } + \frac { 6 } { 11 }$

Accepted Answer

A)  $\frac { 12 } { 13 }$ 
B)  $\frac { 12 } { 11 }$ 
C)  $\frac { 12 } { 5 }$ 
D)  $\frac { 11 } { 12 }$ 
E)  $\frac { 12 } { 121 }$ 
A)  $\frac { 12 } { 13 }$ 
B)  $\frac { 12 } { 11 }$ 
C)  $\frac { 12 } { 5 }$ 
D)  $\frac { 11 } { 12 }$ 
E)  $\frac { 12 } { 121 }$

Question 5

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 6

Complete the operation and simplify if necessary. $\frac { 1 } { 4 } + \frac { 7 } { 8 }$

Accepted Answer

A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 9 } { 13 }$ 
E)  $\frac { 9 } { 8 }$ 
A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 9 } { 13 }$ 
E)  $\frac { 9 } { 8 }$

Question 7

Multiply. $- 12 \cdot 2 \frac { 1 } { 3 }$

Accepted Answer

A)  $- 9 \frac { 1 } { 3 }$ 
B)  $20$ 
C)  $- 24 \frac { 1 } { 3 }$ 
D)  $- 28$ 
E)  $28$ 
A)  $- 9 \frac { 1 } { 3 }$ 
B)  $20$ 
C)  $- 24 \frac { 1 } { 3 }$ 
D)  $- 28$ 
E)  $28$

Question 8

Write the number as a fraction. $- 27$

Accepted Answer

A)  $\frac { 27 } { 1 }$ 
B)  $- \frac { 1 } { 27 }$ 
C)  $\frac { 1 } { 27 }$ 
D)  $- \frac { 27 } { 27 }$ 
E)  $- \frac { 27 } { 1 }$ 
A)  $\frac { 27 } { 1 }$ 
B)  $- \frac { 1 } { 27 }$ 
C)  $\frac { 1 } { 27 }$ 
D)  $- \frac { 27 } { 27 }$ 
E)  $- \frac { 27 } { 1 }$

Question 9

What is the difference in power between a $\frac { 1 } { 2 } - h p$ and a $\frac { 1 } { 5 } - h p$ garage door opener? 
Enter your answer as a simplified fraction without the units.

Accepted Answer

The answer of What is the difference in power between...

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

Complete the operation and simplify if necessary. $- \frac { 3 } { 21 } - \frac { 2 } { 3 }$

Accepted Answer

A)  $- \frac { 17 } { 21 }$ 
B)  $\frac { 11 } { 21 }$ 
C)  $- \frac { 1 } { 21 }$ 
D)  $\frac { 17 } { 21 }$ 
E)  $- \frac { 17 } { 3 }$ 
A)  $- \frac { 17 } { 21 }$ 
B)  $\frac { 11 } { 21 }$ 
C)  $- \frac { 1 } { 21 }$ 
D)  $\frac { 17 } { 21 }$ 
E)  $- \frac { 17 } { 3 }$

Question 12

Find the sum. $40 \frac { 3 } { 7 } + 70 \frac { 1 } { 5 }$

Accepted Answer

A)  $110 \frac { 3 } { 7 }$ 
B)  $110 \frac { 22 } { 35 }$ 
C)  $111 \frac { 22 } { 35 }$ 
D)  $110 \frac { 4 } { 35 }$ 
E)  $110 \frac { 22 } { 7 }$ 
A)  $110 \frac { 3 } { 7 }$ 
B)  $110 \frac { 22 } { 35 }$ 
C)  $111 \frac { 22 } { 35 }$ 
D)  $110 \frac { 4 } { 35 }$ 
E)  $110 \frac { 22 } { 7 }$

Question 13

Rewrite $36 \div 4$ as a multiplication by the reciprocal of 4, and find the result.

Accepted Answer

A)  9 
B)  8 
C)  5 
D)  12 
E)  7 
A)  9 
B)  8 
C)  5 
D)  12 
E)  7

Question 14

Simplify the numerical expression. $- \left( \frac { 1 } { 3 } \right) ^ { - 4 }$

Accepted Answer

A)  27 
B)  $- \frac { 1 } { 81 }$ 
C)  $- 81$ 
D)  $- \frac { 1 } { 27 }$ 
E)  256 
A)  27 
B)  $- \frac { 1 } { 81 }$ 
C)  $- 81$ 
D)  $- \frac { 1 } { 27 }$ 
E)  256

Question 15

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

Accepted Answer

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

Question 16

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 17

What mixed numbers have been graphed on the number line?

Accepted Answer

The answer of What mixed numbers have been graphed on...

Question 18

Simplify the complex fraction. $\frac { \frac { 7 } { 2 } + \frac { 1 } { 4 } } { \frac { 1 } { 2 } + \frac { 7 } { 4 } }$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 5 } { 3 }$ 
E)  $\frac { 7 } { 2 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 5 } { 3 }$ 
E)  $\frac { 7 } { 2 }$

Question 19

Use one of the symbols to make the statement true. $\frac { 1 } { 7 }$ _____ $\frac { 1 } { 5 }$

Accepted Answer

The answer of Use one of the symbols to make...

Question 20

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

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)  $1 \frac { 1 } { 4 }$

Place a > or $\frac { 31 } { 33 }$ $\frac { 32 } { 33 }$ $\frac { 3 } { 5 }$ $\frac { 11 } { 25 }$

Write the equivalent of the fraction using a denominator of 26 . $\frac { 10 } { 13 }$

Perform the addition. Simplify the result when possible. $\frac { 6 } { 11 } + \frac { 6 } { 11 }$

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

Complete the operation and simplify if necessary. $\frac { 1 } { 4 } + \frac { 7 } { 8 }$

Multiply. $- 12 \cdot 2 \frac { 1 } { 3 }$

Write the number as a fraction. $- 27$

What is the difference in power between a $\frac { 1 } { 2 } - h p$ and a $\frac { 1 } { 5 } - h p$ garage door opener? Enter your answer as a simplified fraction without the units.

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

Complete the operation and simplify if necessary. $- \frac { 3 } { 21 } - \frac { 2 } { 3 }$

Find the sum. $40 \frac { 3 } { 7 } + 70 \frac { 1 } { 5 }$

Rewrite $36 \div 4$ as a multiplication by the reciprocal of 4, and find the result.

Simplify the numerical expression. $- \left( \frac { 1 } { 3 } \right) ^ { - 4 }$

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

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

What mixed numbers have been graphed on the number line?

Simplify the complex fraction. $\frac { \frac { 7 } { 2 } + \frac { 1 } { 4 } } { \frac { 1 } { 2 } + \frac { 7 } { 4 } }$

Use one of the symbols to make the statement true. $\frac { 1 } { 7 }$ _____ $\frac { 1 } { 5 }$

Subtract the following mixed numbers. minus 5 4

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

Place a > or 3133\frac { 31 } { 33 }3331​ __________ 3233\frac { 32 } { 33 }3332​ 35\frac { 3 } { 5 }53​ __________ 1125\frac { 11 } { 25 }2511​

Write the equivalent of the fraction using a denominator of 26 . 1013\frac { 10 } { 13 }1310​

Perform the addition. Simplify the result when possible. 611+611\frac { 6 } { 11 } + \frac { 6 } { 11 }116​+116​

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

Complete the operation and simplify if necessary. 14+78\frac { 1 } { 4 } + \frac { 7 } { 8 }41​+87​

Multiply. −12⋅213- 12 \cdot 2 \frac { 1 } { 3 }−12⋅231​

Write the number as a fraction. −27- 27−27

What is the difference in power between a 12−hp\frac { 1 } { 2 } - h p21​−hp and a 15−hp\frac { 1 } { 5 } - h p51​−hp garage door opener? Enter your answer as a simplified fraction without the units.

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

Complete the operation and simplify if necessary. −321−23- \frac { 3 } { 21 } - \frac { 2 } { 3 }−213​−32​

Find the sum. 4037+701540 \frac { 3 } { 7 } + 70 \frac { 1 } { 5 }4073​+7051​

Rewrite 36÷436 \div 436÷4 as a multiplication by the reciprocal of 4, and find the result.

Simplify the numerical expression. −(13)−4- \left( \frac { 1 } { 3 } \right) ^ { - 4 }−(31​)−4

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

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

What mixed numbers have been graphed on the number line?

Simplify the complex fraction. 72+1412+74\frac { \frac { 7 } { 2 } + \frac { 1 } { 4 } } { \frac { 1 } { 2 } + \frac { 7 } { 4 } }21​+47​27​+41​​

Use one of the symbols to make the statement true. 17\frac { 1 } { 7 }71​ _____ 15\frac { 1 } { 5 }51​

Subtract the following mixed numbers. minus 5 4

Whole Numbers

The Integers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

An Introduction to Geometry

Filters

Place a > or $\frac { 31 } { 33 }$ $\frac { 32 } { 33 }$ $\frac { 3 } { 5 }$ $\frac { 11 } { 25 }$

Write the equivalent of the fraction using a denominator of 26 . $\frac { 10 } { 13 }$

Perform the addition. Simplify the result when possible. $\frac { 6 } { 11 } + \frac { 6 } { 11 }$

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

Complete the operation and simplify if necessary. $\frac { 1 } { 4 } + \frac { 7 } { 8 }$

Multiply. $- 12 \cdot 2 \frac { 1 } { 3 }$

Write the number as a fraction. $- 27$

What is the difference in power between a $\frac { 1 } { 2 } - h p$ and a $\frac { 1 } { 5 } - h p$ garage door opener? Enter your answer as a simplified fraction without the units.

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

Complete the operation and simplify if necessary. $- \frac { 3 } { 21 } - \frac { 2 } { 3 }$

Find the sum. $40 \frac { 3 } { 7 } + 70 \frac { 1 } { 5 }$

Rewrite $36 \div 4$ as a multiplication by the reciprocal of 4, and find the result.

Simplify the numerical expression. $- \left( \frac { 1 } { 3 } \right) ^ { - 4 }$

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

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

Simplify the complex fraction. $\frac { \frac { 7 } { 2 } + \frac { 1 } { 4 } } { \frac { 1 } { 2 } + \frac { 7 } { 4 } }$

Use one of the symbols to make the statement true. $\frac { 1 } { 7 }$ _____ $\frac { 1 } { 5 }$