The fraction is [tex]\frac{3}{5}[/tex]
Let's take the fraction as [tex]\frac{a}{b}[/tex]
According to the first statement,
If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1.
[tex]\frac{a + 1}{b - 1}[/tex] = 1
a + 1 = b -1
a + 2 = b
b = a + 2........(1)
According to the second statement
If we only add 1 to the denominators, it becomes 1/2.
[tex]\frac{a}{b+1}[/tex] = 1/2
2a = b + 1
b = 2z -1 .........(2)
Equating both the equation (1) and (2)
2a - 1 = a + 2
2a - a = 2 + 1
a = 3
Now substitute the value of a in equation (1)
b = 3 + 2
= 5
Therefore the fraction is [tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex]
