Question 1

Find the sum. $2 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + 6 \frac { 1 } { 15 }$

Accepted Answer

The answer of Find the sum. \(2 \frac { 2...

Question 2

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

Accepted Answer

The answer of Find the sum. \(+\begin{array} { r }...

Question 3

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

Accepted Answer

The answer of Find the sum. \(40 \frac { 3...

Question 4

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

Accepted Answer

To find the sum, add the whole numbers and the fractions separately: $7 + 7 = 14$ and $\frac{3}{11} + \frac{2}{11} = \frac{5}{11}$. Thus, the sum is $14 \frac{5}{11}$.

Question 5

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

Accepted Answer

To simplify the given complex fraction $\frac { \frac { 2 } { 7 } } { \frac { 1 } { 3 } }$, you multiply the numerator by the reciprocal of the denominator: $\frac { 2 } { 7 } \times \frac { 3 } { 1 } = \frac { 6 } { 7 }$.

Question 6

Find the sum. $+\begin{array} { r } 
- 7 \frac { 2 } { 5 } \
 \quad 13 \frac { 1 } { 11 } \
\hline
\end{array}$

Accepted Answer

Convert the fractions to have a common denominator, then add: $-7 \frac{2}{5} = -7 - \frac{22}{55}$ and $13 \frac{1}{11} = 13 + \frac{5}{55}$. The sum is $6 - \frac{17}{55} = 5 \frac{38}{55}$.

Question 7

Find the sum. $- 4 \frac { 3 } { 5 } + \left( - 8 \frac { 1 } { 25 } \right)$

Accepted Answer

To find the sum, first convert the mixed numbers to improper fractions: $-4\frac{3}{5} = -\frac{23}{5}$ and $-8\frac{1}{25} = -\frac{201}{25}$. To add these, find a common denominator, which is 25, so $-\frac{23}{5} = -\frac{115}{25}$. Adding $-\frac{115}{25} + (-\frac{201}{25}) = -\frac{316}{25}$, which simplifies back to a mixed number as $-12\frac{16}{25}$.

Question 8

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

Accepted Answer

To divide fractions, invert the divisor and multiply.$- 1 \frac { 1 } { 3 } \div 2 \frac { 1 } { 4 } = - \frac { 4 } { 3 } \div \frac { 9 } { 4 } = - \frac { 4 } { 3 } \cdot \frac { 4 } { 9 } = - \frac { 16 } { 27 }$

Question 9

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

Accepted Answer

The answer of How many inches of molding are needed...

Question 10

The fire escape stairway in an office building is shown in the illustration below. Each riser is $6 \frac { 1 } { 2 }$ inches high. If each floor is 105 inches high and the building is 65 stories tall, how many steps are there in the stairway?  
__________ steps

Accepted Answer

The answer of The fire escape stairway in an office...

Question 11

Find the difference. $19 \frac { 3 } { 11 } - 4 \frac { 1 } { 55 }$

Accepted Answer

To find the difference, first convert the mixed numbers to improper fractions: $19 \frac{3}{11} = \frac{212}{11}$ and $4 \frac{1}{55} = \frac{221}{55}$. Then, find a common denominator (55) and subtract: $\frac{212 \times 5}{55} - \frac{221}{55} = \frac{1060}{55} - \frac{221}{55} = \frac{839}{55}$, which simplifies to $15 \frac{14}{55}$.

Question 12

The sign marks the emergency exit on a school bus. Find the area of the sign.

Accepted Answer

The answer of The sign marks the emergency exit on...

Question 13

Find the area of the license plate.

Accepted Answer

The answer of Find the area of the license plate....

Question 14

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

Accepted Answer

The answer of Multiply. \(- 12 \cdot 2 \frac {...

Question 15

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

Accepted Answer

The answer of A sandwich shop sells a \(\frac {...

Question 16

Find the sum. $+\begin{array} { r } 
5 \frac { 1 } { 7 } \
\
 \quad 10 \frac { 2 } { 5 } \
\hline
\end{array}$

Accepted Answer

To add mixed numbers, first add the whole numbers, then add the fractions.$5 \frac { 1 } { 7 } + 10 \frac { 2 } { 5 } = 15 \frac { 19 } { 35 }$

Question 17

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

Accepted Answer

To subtract the mixed numbers, first convert them to improper fractions: $5 \frac{2}{3} = \frac{17}{3}$ and $4 \frac{3}{8} = \frac{35}{8}$. Then, find a common denominator (24 in this case) and subtract: $\frac{136}{24} - \frac{105}{24} = \frac{31}{24}$, which simplifies to $1 \frac{7}{24}$.

Question 18

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

Accepted Answer

We can convert the mixed numbers to improper fractions:
$5 \frac{1}{5} = \frac{26}{5}$ and $4 \frac{1}{4} = \frac{17}{4}$
Then, we can multiply the first fraction by the reciprocal of the second:
$\frac{26}{5} \cdot \frac{4}{17} = \frac{104}{85}$
Therefore, the correct answer is E.

Question 19

A businesswoman's flight leaves Atlanta at 1 P.M. and arrives in New York at 3:45 P.M. Express the duration of the flight as a mixed number.

Accepted Answer

The flight duration from 1 P.M. to 3:45 P.M. is 2 hours and 45 minutes, which can be expressed as $2 \frac { 3 } { 4 }$ hours.

Question 20

Find the difference. $261 \frac { 2 } { 11 } - 107 \frac { 1 } { 55 }$

Accepted Answer

To find the difference, first convert the fractions to a common denominator, which is 55 in this case. $261 \frac{2}{11} = 261 \frac{10}{55}$ and $107 \frac{1}{55}$. Subtracting these gives $154 \frac{9}{55}$.

Quiz 3: Fractions and Mixed Numbers

Find the sum. $2 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + 6 \frac { 1 } { 15 }$

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

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

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

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

Find the sum. $+\begin{array} { r } - 7 \frac { 2 } { 5 } \\ \quad 13 \frac { 1 } { 11 } \\\hline\end{array}$

Find the sum. $- 4 \frac { 3 } { 5 } + \left( - 8 \frac { 1 } { 25 } \right)$

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

Find the difference. $19 \frac { 3 } { 11 } - 4 \frac { 1 } { 55 }$

The sign marks the emergency exit on a school bus. Find the area of the sign.

Find the area of the license plate.

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

Find the sum. $+\begin{array} { r } 5 \frac { 1 } { 7 } \\\\ \quad 10 \frac { 2 } { 5 } \\\hline\end{array}$

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

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

A businesswoman's flight leaves Atlanta at 1 P.M. and arrives in New York at 3:45 P.M. Express the duration of the flight as a mixed number.

Find the difference. $261 \frac { 2 } { 11 } - 107 \frac { 1 } { 55 }$

Quiz 3: Fractions and Mixed Numbers

Find the sum. 225+1110+61152 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + 6 \frac { 1 } { 15 }252​+1101​+6151​

Find the sum. +7631127627+\begin{array} { r } 76 \frac { 3 } { 11 } \\ \quad 276 \frac { 2 } { 7 } \\\hline\end{array}+76113​27672​​​

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

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

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

Find the sum. +−72513111+\begin{array} { r } - 7 \frac { 2 } { 5 } \\ \quad 13 \frac { 1 } { 11 } \\\hline\end{array}+−752​13111​​​

Find the sum. −435+(−8125) - 4 \frac { 3 } { 5 } + \left( - 8 \frac { 1 } { 25 } \right) −453​+(−8251​)

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

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

The fire escape stairway in an office building is shown in the illustration below. Each riser is 6126 \frac { 1 } { 2 }621​ inches high. If each floor is 105 inches high and the building is 65 stories tall, how many steps are there in the stairway? __________ steps

Find the difference. 19311−415519 \frac { 3 } { 11 } - 4 \frac { 1 } { 55 }19113​−4551​

The sign marks the emergency exit on a school bus. Find the area of the sign.

Find the area of the license plate.

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

Find the sum. +5171025+\begin{array} { r } 5 \frac { 1 } { 7 } \\\\ \quad 10 \frac { 2 } { 5 } \\\hline\end{array}+571​1052​​​

Subtract the following mixed numbers. −523438-\begin{array} { r } 5 \frac { 2 } { 3 } \\\\ 4 \frac { 3 } { 8 } \\\hline\end{array}−532​483​​​

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

A businesswoman's flight leaves Atlanta at 1 P.M. and arrives in New York at 3:45 P.M. Express the duration of the flight as a mixed number.

Find the difference. 261211−107155261 \frac { 2 } { 11 } - 107 \frac { 1 } { 55 }261112​−107551​

Find the sum. $2 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + 6 \frac { 1 } { 15 }$

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

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

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

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

Find the sum. $+\begin{array} { r } - 7 \frac { 2 } { 5 } \\ \quad 13 \frac { 1 } { 11 } \\\hline\end{array}$

Find the sum. $- 4 \frac { 3 } { 5 } + \left( - 8 \frac { 1 } { 25 } \right)$

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

Find the difference. $19 \frac { 3 } { 11 } - 4 \frac { 1 } { 55 }$

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

Find the sum. $+\begin{array} { r } 5 \frac { 1 } { 7 } \\\\ \quad 10 \frac { 2 } { 5 } \\\hline\end{array}$

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

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

Find the difference. $261 \frac { 2 } { 11 } - 107 \frac { 1 } { 55 }$