Question

A student claims that a ratio remains unchanged if 1 is added to both the numerator and the denominator of the fraction. Does a/b equal a + 1/b + 1? Write and explanation and give an example or counterexample.

Answer 1

is a and b restricted only to positive numbers (or can they be negative)?

Answer 2

assume that it is true,,, that is,

a/b = (a+1)/(b+1)
ab + a = ab + b
a = b

only true if a = b

e.g.
5/5 = 6/6