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

Question

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

Video Solution

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

Answer

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