If 2 is added to both the numerator and denominator of a fraction its value becomes half. if two is subtracted from both the numerator and denominator of the same fraction its value becomes 1/3. what is the original fraction"

The original fraction is .

Step-by-step explanation:

Solution,

Let the fraction be''.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

On using cross multiplication method, we get;

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

On using cross multiplication method, we get;

Now Substituting the equation 1 in equation 1 we get;

Now Substituting the value of x in equation 1 we get;

Hence The original fraction is .

i agree because i see the other persons thinking is clear

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)