Question

if we add 1 to the numerator and subtract 1 from the denominator, a fraction reduce to 1, it becomes 1/2 if we only add 1 to the denominator, what is fraction?​

Answer 1

Answer:

fraction is 3/5

Step-by-step explanation:

let the fraction = x/y

A.T.Q

(x + 1)/(y - 1) = 1

x + 1 = y - 1

x - y = -2 ------------(1)

x/(y + 1) = 1/2

2x = y + 1

2x - y = 1 ----------(2)

on subtract eq 1 and 2

x - y = -2

2x - y = 1

- + -

-x = -3

x = 3

put x in eq 1

x - y = -2

3 - y = -2

-y = -2 - 3

-y = -5

y = 5

fraction is x/y = 3/5

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Assume p be the numerator

★And n be the denominator

${\boxed{\sf\:{In\;Fraction=\dfrac{p}{n}}}}$

★Situation :-

${\boxed{\sf\:{\dfrac{p+1}{n-1}=1}}}$

p - n = -2 ....... (1)

★Also :-

${\boxed{\sf\:{\dfrac{p}{n}+1\dfrac{1}{2}}}}$

= 2p = n + 1

2p - n = 1 ....... (2)

★Subtracting (2) from (1) we get :-

(p - n) - (2p - n) = -2 - 1

p - n - 2p + n = -3

-p = -3

p = 3

★Substitute the value of p in equation (2) we get :-

2(3) - n = 1

6 - n = 1

6 - 1 = n

5 = n

${\boxed{\sf\:{Fraction=\dfrac{3}{5}}}}$