Question

the denominator of a rational number is 1 more than three times its numerartor . adding 2 to the numerartor and 4 to the denominator , the value of the new rational number is 4/11 . find the original rational number.

Answer 1

Answer: 2/7

Step-by-step explanation:

Please see the attached explanation

Answer 2

Heya !!!

Let the numerator of a rational Number be X.



Denominator of rational Number = X+4


2 is added to Numerator then Numerator becomes X+2 and 3 is two it's denominator then denominator becomes (X+4+3) = X+7


According to question,


X + 2/ X +7 = 3/4




4(X+2) = 3(X+7)


4X + 8 = 3X + 21


4X -3X = 21-8


X = 13
Numerator = X = 13 
And
Denominator = X+4 = 13+4 = 17
Fraction = Numerator/Denominator =13/17.
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