Question

The reciprocal of a rational number equals 4 times the reciprocal of -2/3 . Find the rational number.

Answer 1

Hey


let the reciprocal of rational number be x .


Now ,


it's reciprocal =


4 times the reciprocal of -2 / 3


= 4 * ( -3 ) / 2


= -12 / 2


= -6

Now ,

the rational number is


1 / -6

= - 1 / 6


thanks :)

Answer 2

reciprocal of-2/3 is -3/2 its 4times is -12/2=-6