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 from is 1/2. what is the rational number.
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let the denominator be x
numerator be x-2
when 1 is subtracted from both numerator and denominator
x-2-1/x-1
x-31x-1=1/2
cross multiply
1(x-1)=2(x-3)
x-1=2x-6
x=5
5-2/5
3/5
3/5 is the rational number
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