Question

(1) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes
$\frac{1}{2}$


if we only add 1 to the denominator. What is the fraction? ​

Answer 1

_______________________________

$\huge\colorbox{white}{ \colorbox{white}{\colorbox{white}{Question}}}$

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes

$\frac{1}{2}$

if we only add 1 to the denominator. What is the fraction?

$\huge\colorbox{white}{ \colorbox{white}{\colorbox{white}{Answer}}}$

Given :

• Fraction $\huge\sf\frac{x}{y}$

To find :

• Find $\huge\sf\frac{x}{y}$ = ?

Solution:

$\sf\huge\implies$ 1 Add numerator and 1 subtract from Denominator.

$\sf\huge\implies$ $\frac{x +1}{y - 1}$ = 1, $\rightarrow$ x - y = -2 ....(i)

If we add only 1 to Denominator.

$\sf\huge\implies$ $\huge\sf\frac{x}{y + 1}$ = $\huge\sf\frac{1}{2}$. $\rightarrow$ 1x - y = 1 ....(ii)

$\therefore$From equation (i) and (ii) By subtracting

$\sf\huge\implies$ 2x - y = 1

$\sf\huge\implies$ x - y = -2

$\sf\huge\implies$ (-) (+). (+)

$\sf\huge\implies$ x = 3

$\huge\sf\rightarrowtail$ x = 3,

$\huge\sf\rightarrowtail$ 2x- y =1,

$\huge\sf\rightarrowtail$ 2x - 3 - y = 1,

$\huge\sf\rightarrowtail$ y = 5,

$\sf\huge\implies$ x = 3

$\sf\huge\implies$ y = 5

Hence , the fraction is $\huge\sf\frac{3}{5}$

_______________________________