Question

the denominator of a rational number is greater than by 3 if 3 is subtracted from the numerator and to is added to its denominator the new number become 1/ 5 the original number is

Answer 1

Hey

Here is your answer,

Let the numerator of a fraction be X.

Denominator = (X+3)
Fraction = Numerator/Denominator = (X)/(X+3)

3 is subtracted from the numerator then the numerator becomes (X-3) and 2 is added to it's denominator then the Denominator becomes (X+3+2) .

Fraction = Numerator/Denominator = (X-3)/(X+3+2).

According to question,
(X-3)/(X+3+2) = 1/5
X-3/X+5 = 1/5
5(X-3) = 1(X+5)
5X - 15 = X + 5
5X - X = 5+15
4X = 20
X = 20/4 => 5

Numerator = X = 5
Denominator = (X+3) => (5+3) = 8
Fraction = Numerator/Denominator = 5/8

Hope it helps you!

Answer 2

your answer is here