Solve -x/-(-y): Double Negative Fraction with Values 4 and 1/3

x(y) \frac{-x}{-(-y)}

Substitute the following into the equation above and calculate:

  1. y=13,x=4 y=-\frac{1}{3},x=4

  2. y=+13,x=4 y=+\frac{1}{3},x=-4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Set up and calculate
00:05 Let's start by setting up the first option
00:10 Make sure to use parentheses
00:15 Negative times negative always equals positive
00:25 Negative divided by negative always equals positive
00:34 Instead of dividing, multiply by the reciprocal
00:40 This is the solution for option A, now let's calculate option B
00:43 Let's set up according to the data for option B
00:48 Make sure to use parentheses
00:54 Negative times negative always equals positive
01:04 Positive divided by positive always equals positive
01:15 Instead of dividing, multiply by the reciprocal
01:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

x(y) \frac{-x}{-(-y)}

Substitute the following into the equation above and calculate:

  1. y=13,x=4 y=-\frac{1}{3},x=4

  2. y=+13,x=4 y=+\frac{1}{3},x=-4

2

Step-by-step solution

Let's start with the first option.

Let's substitute the numbers in the given expression:

4((13)= \frac{-4}{-(-(-\frac{1}{3})}=

Let's remember the rule:

(x)=+x -(-x)=+x

Therefore:

4(+13)= \frac{-4}{-(+\frac{1}{3})}=

Let's remember the rule:

(+x)=x -(+x)=-x

Now the exercise we got is:

413= \frac{-4}{-\frac{1}{3}}=

Note that we are dividing between two negative numbers, so the result must be a positive number:

=+ \frac{-}{-}=+

413= \frac{4}{\frac{1}{3}}=

Let's convert the division to multiplication and remember to switch between the numerator and denominator of the simple fraction:

4×31=121=12 4\times\frac{3}{1}=\frac{12}{1}=12

Let's move on to solve the second option.

Let's substitute the numbers in the given expression:

(4)((+13)= \frac{-(-4)}{-(-(+\frac{1}{3})}=

Let's remember the rules:

(x)=+x -(-x)=+x

(+x)=x -(+x)=-x

Now we get:

+4(13)=+4+13= \frac{+4}{-(-\frac{1}{3})}=\frac{+4}{+\frac{1}{3}}=

Note that we are dividing between two positive numbers, so the result must be a positive number:

++=+ \frac{+}{+}=+

Let's convert the division to multiplication and remember to switch between the numerator and denominator of the simple fraction:

4×31=121=12 4\times\frac{3}{1}=\frac{12}{1}=12

The final answer is:

1,2=+12 1,2=+12

3

Final Answer

1,2=+12 1,2=+12

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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