In other words, the numerator and denominator of a fraction should be relatively prime in order to be in lowest terms. Note that 1/3 and 2/6 are equivalent fractions.
We know that 6 = 2 x 3. So, 2/6 has the factor 2 in the numerator and in the
denominator. Thus, 2/6 is NOT in lowest terms. On the other hand, 1/3 is in
lowest terms because the only common factor of 1 and 3 is 1.
As another example, note that 3/4 and 9/12 are equivalent fractions (both equal 0.75).
We know that 9 = 3 x 3 and 12 = 4 x 3. So, 9/12 has the factor 3 in the numerator and in the
denominator. Thus, 9/12 is NOT in lowest terms. On the other hand, 3/4 is in
lowest terms, because the only factor that 3 and 4 has in common is 1.
