Question

The denominator of a fraction is one more than its numerator if 1 is a subtracted from both numerator the fraction became 1/2 find the fraction

Answer 1

Step-by-step explanation:

let the -

numerator be x

denominator be (x+1)

A. T. Q

x-1/x+1-1=1/2

1(x+1-1)=2(x-1)

x+1-1=2x-2

x+0=2x-2

x-2x=-2

-x=-2

x=2

Answer 2

Answer:

Let the Numerator be a and Denominator be (a + 4) of the fraction respectively.

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf \dfrac{Numerator-1}{Denominator-1}=\dfrac{1}{2}\\\\\\:\implies\sf \dfrac{a - 1}{(a + 4) - 1} = \dfrac{1}{2}\\\\\\:\implies\sf \dfrac{a - 1}{a + 3} = \dfrac{1}{2}\\\\\\:\implies\sf 2(a - 1) = a + 3\\\\\\:\implies\sf 2a - 2 = a + 3\\\\\\:\implies\sf 2a - a = 3 + 2\\\\\\:\implies\sf a = 5$

⠀

$\dag\:\underline{\boxed{\sf Original\:Fraction=\dfrac{a}{(a+4)}=\dfrac{5}{9}}}$