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?
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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.
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