Final answer:
The two expressions that represent 3/12 are 1/4 and 4/16. The fraction 3/12 simplifies to 1/4, and is also equivalent to 4/16 when both the numerator and denominator are multiplied by 4. The correct answer C) 4/16.
Step-by-step explanation:
To find which two expressions represent 3/12, we must simplify the fraction to its lowest terms. Simplifying 3/12 by dividing both the numerator and denominator by their greatest common divisor, which is 3, we get 1/4.
Looking at the options given, 1/4 is immediately spotted as one of the answers (A). Next, we seek a fraction that is equivalent to 1/4. By multiplying the numerator and denominator of 1/4 by 2, we get 2/8, but that's not one of the options.
However, if we multiply 1/4 by 3, we get 3/12, which matches our original fraction, and by 4, we get 4/16 (C), which is another equivalent fraction presented as an option.
The answer is therefore A) 1/4 (which is the simplest form of 3/12) and C) 4/16 (which is 3/12 simplified).