Question

if the numerator of fraction is increased by 1, the fraction becomes 1. if its numerator is increased by 9 it becomes 2. what is the fraction?​

Answer 1

Step-by-step explanation:

Let the fraction be x/y. When the numerator is increased by 1, (x+1)/y=1 =>x+1=y =>

y-x=1...(1). if its numerator is increased by 9,

(x+9)/y =2=>2y-x=9...(2). Subtract (1) from (2) we get (2y-x)-(y-x)=9-1 =>y=8. Substitute y=8 in equation(1) =>8-x=1 =>x=8-1=7. So the fraction is 7/8. Hope it helps you.