Question

The numerator of a fraction is 2 less than the denominator. If the numerator is increased by 3 and the denominator decreased by 1, the fraction becomes 2/3. what is the original fraction.​

Answer 1

y is minus 5

hope it helps

the fraction will be 7 by 5

i guess check it

Answer 2

Answer :

To find  : original fraction

according to given  question we have following condition given ;

let  us consider denominator to be x ,

=  $\frac{x - 2}{x}$                  ------------------------------(1) (  original fraction )

if numerator is increased by 3 and denominator is decreased by 1 then ,fraction becomes 2 / 3.

i.e.  $\frac{x - 2 + 3}{x - 1}$ $=\ \frac{2}{3}$                  ---------------------------( 2)

on solving the above equation , we get

$3 x + 3 = 2 x - 2$

$x = -5$

substituting value of x in original fraction ( 1 )

original fraction = $\frac{x - 2}{x}$    

                           =  $\frac{-5 -2}{-5}$

                           =  $\frac{7 }{5}$

Thus, original fraction has 7 has numerator and 5 as denominator i.e.

7/5