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
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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
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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