Question

In a certain positive fraction, the denominator is greater than the numerator by 3. If 1
is subtracted from both the numerator and denominator, the fraction is decreased by
1/14
Find the fraction.( Quadratic equation )​

Answer 1

Step-by-step explanation:

Let us take the numerator as x

So denominator will be x+3.

So the fraction will be x/(x+3).

1 is subtracted from both numerator and denominator.

(x-1)/(x+3-1)..

Which becomes,

(x-1)/(x+2) = 1/14.(given in the question)

So,

We can write

14(x-1)=x+2

14x - 14 = x+2

13x = 2+14

13x = 16

X= 16/13.

Denominator x+3 = 16/13 +3

= 55/13

So the fraction is (16/13)/(55/13).

Which is equal to 16/55.