Question

the numerator of a given fraction is 4 less than the denominater.If 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1/4. What is the given fraction

Answer 1

Hey !



Let denominator of fraction be X .




Numerator = ( X - 4 ).



Fraction = Numerator/Denominator = (X-4)/X




According to question,




X - 4 - 3 / X + 5 = 1/4




X - 7 / X + 5 = 1/4




4 ( X - 7 ) = X + 5


4X - 28 = X + 5





4X - X = 5 + 28



3X = 33



X = 11



Denominator = x = 11

And,


Numerator = X - 4 = 11-4 = 7.



Fraction = Numerator/Denominator = 7/11.

Answer 2

Answer:

7/11 is the answer in my suggestion