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2 years ago

-1/2 divided by ? = -7/3 1/7 divided by ? = 14

Mathematics

2 answers:

FrozenT [24]2 years ago

8 0

-1/2 divided by 14/2 = -7/3

1/7 divided by 98= 14

Division means to perform the operation of division. H. Check how many times the divisor is another number. Dividing by is written as or. The result need not be an integer, but if it is an additional term is used. is read as ``divide'' and means to divide.

Partitioning is a method of dividing a group of things into equal parts. One of the four basic operations in arithmetic that produce fair results when divided. The division is the opposite of multiplication.

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STALIN [3.7K]2 years ago

7 0

Answer:

$-\dfrac{1}{2} \textsf{ divided by } \boxed{\dfrac{3}{14}} = -\dfrac{7}{3}$

$\dfrac{1}{7} \textsf{ divided by } \boxed{\dfrac{1}{98}} = 14$

Step-by-step explanation:

Let x be the unknown number.

$\begin{aligned}&\textsf{Given}: \quad&\dfrac{-\frac{1}{2}}{x}&=-\dfrac{7}{3}\\\\&\textsf{Multiply both sides by $x$}: & \dfrac{-\frac{1}{2}x}{x} & = -\dfrac{7}{3}x\\\\& \textsf{Simplify}: & -\dfrac{1}{2} & = -\dfrac{7}{3}x\\\\& \textsf{Multiply both sides by 3}: & -\dfrac{1 \cdot 3}{2} & = \dfrac{-7 \cdot 3}{3}x\\\\& \textsf{Simplify}: & -\dfrac{3}{2} & = -7x\\\\& \textsf{Divide both sides by -7}: \quad & -\dfrac{3}{2 \cdot -7}& = \dfrac{-7x}{-7}\\\\& \textsf{Simplify}: &\dfrac{3}{14} & = x\end{aligned}$

$\textsf{Therefore, }-\dfrac{1}{2} \textsf{ divided by } \boxed{\dfrac{3}{14}} = -\dfrac{7}{3}$

-------------------------------------------------------------------------------

Let x be the unknown number.

$\begin{aligned}& \textsf{Given}: & \dfrac{\frac{1}{7}}{x} & = 14\\\\& \textsf{Multiply both sides by $x$}: & \dfrac{\frac{1}{7}x}{x} & = 14x\\\\& \textsf{Simplify}: & \dfrac{1}{7} & = 14x\\\\& \textsf{Divide both sides by 14}: & \dfrac{1}{7 \cdot 14} & = \dfrac{14x}{14}\\\\ & \textsf{Simplify}: & \dfrac{1}{98} & = x\end{aligned}$

$\textsf{Therefore, }\dfrac{1}{7} \textsf{ divided by } \boxed{\dfrac{1}{98}} = 14$

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harry got 42 and 49 correct on his test what fraction of the marks did he get wrong give your answer in it simplest form

Nuetrik [128]

Answer:

1/7

Step-by-step explanation:

49-42= 7

7/49 can be simplified by dividing by 7

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3 years ago

A bowl contains 7 pennies, 9 nickels, and 4 dimes. Elyse removes one coin at random from the bowl and does not replace it. She t

Vlad [161]

Answer:

The probability is 3/95

Step-by-step explanation:

Okay this is a probability without replacement question.

Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins

The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5

Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19

Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes

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6 0

3 years ago

Explain how to multiply the following whole numbers 21 x 14

Lesechka [4]

Answer:

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Step-by-step explanation:

Given

$21\:\times \:14$

Line up the numbers

$\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}$

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

Multiply the bold numbers: 1×4=4

$\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}$

Multiply the bold numbers: 2×4=8

$\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the top number by the bolded digit of the bottom number

$\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the bold numbers: 1×1=1

$\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}$

Multiply the bold numbers: 2×1=2

$\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}$

Add the rows to get the answer. For simplicity, fill in trailing zeros.

$\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}$

adding portion

$\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}$

Add the digits of the right-most column: 4+0=4

$\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}$