Question

if numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both the rational number and simple simplest form is 1/2 what is the rational number please give the answer de step by step explanation ​

Answer 1

Answer:

Let the denominator be = x

Let the numerator be = x - 2

Hence, the rational number formed = x - 2/x

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

Therefore, the denominator is 5 and numerator is 3. The rational number is 3/5.