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.
2 answers
is a and b restricted only to positive numbers (or can they be negative)?
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
a/b = (a+1)/(b+1)
ab + a = ab + b
a = b
only true if a = b
e.g.
5/5 = 6/6
2 answers