Final answer:
Of the provided options, a. 3/2 and d. 13/16 are in their lowest terms. Since d. 13/16 is a proper fraction, it is considered to be the best example of a fraction reduced to its lowest terms. Option D is correct.
Step-by-step explanation:
To identify the fraction or mixed number that has been reduced to the lowest terms from the given options, we must find the one with no common factors between the numerator and denominator except for 1:
a. 3/2 is already in its lowest terms because 3 and 2 have no common factors.
b. 27/54 can be reduced because both numbers are divisible by 27, leading to 1/2 after reduction.
c. 36/51 can be reduced because both numbers are divisible by 3, leading to 12/17 after reduction.
d. 13/16 is in its lowest terms because 13 and 16 have no common factors.
Among the options, a. 3/2 and d. 13/16 are already in their lowest terms. However, since d. 13/16 is a proper fraction and is conventionally the type of fraction we look for when discussing reduction to lowest terms, it is the best answer.