Question

The numerator of a rational number is 2 less than the denominator. When 1 is subtracted from both the numerator and denominator, the number's simplest form is 1/2. What is the rational number?​

Answer 1

Answer:

THE RATIONAL NUMBER IS 3/5

Step-by-step explanation:

LET THE DENOMINATOR OF THE RATIONAL NUMBER BE x

SO,

NUMERATOR OF THE RATIONAL NUMBER = (x-2)

NOW,

A.T.Q.,

[(x-2)-1]/(x-1)=1/2

(x-3)/(x-1)=1/2

2(x-3)=1(x-1)

2x-6=x-1

2x-x=-1+6

x=5

SO,

THE RATIONAL NUMBER IS (x-2)/x

WHICH IS 3/5

I HOPE YOU UNDERSTOOD THE QUESTION