Answer:
5/8
Step-by-step explanation:
Let the numerator = n.
Let the denominator = d.
The fraction is
n/d
"The denominator of a rational number is greater than its numerator by 3."
d = n + 3
The fraction is
n/(n + 3)
"If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1/5."
(n - 3)/(n + 3 + 2) = 1/5
(n - 3)/(n + 5) = 1/5
Cross multiply.
5(n - 3) = 1(n + 5)
5n - 15 = n + 5
4n = 20
n = 5
d = n + 3 = 5 + 3 = 8
n/d = 5/8
The original number is 5/8.
