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 in its simplest form is 1/2 .what is the rational number

Answer 1

Let the denominator be x
Numerator = x-2
Rational no. = x-2/x
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
Rational no. = 5-2/5 = 3/5
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Answer 2

Step-by-step explanation:

Let the denominator be x

So, the numerator= x-2

Rational number= x-2/x

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 = x-2-1/x-1

= 5-2-1/5-1 =5-3/4 =2/4