A fraction is in lowest terms if the greatest common factor of its numerator and its den...

A fraction is in lowest terms if the greatest common factor of its numerator and its denominator is 1. For example is in lowest terms, but is not.

(a) For n = 2 to n = 8, form the fractions

(b) Repeat part (a) with triangular numbers.

(c) Use inductive reasoning to make a conjecture based on your results from parts (a) and (b), observing whether the fractions are in lowest terms.