Final answer:
The fractions 3/6, 4/8, and 6/12 are all equivalent to 2/4 because they simplify to 1/2, the simplest form of 2/4.
Step-by-step explanation:
The question is asking which fractions are equivalent to 2/4. To determine equivalent fractions, you can multiply or divide both the numerator and the denominator of the fraction by the same non-zero number. In this case, simplifying 2/4 by dividing both the numerator (2) and the denominator (4) by their greatest common divisor (2), we get 1/2, which is the simplest form of the fraction.
Now, let's examine the options provided:
3/6: Dividing both the numerator and the denominator by 3 gives us 1/2. Therefore, 3/6 is equivalent to 2/4.
4/8: Dividing both the numerator and the denominator by 4 gives us 1/2. Therefore, 4/8 is equivalent to 2/4.
6/12: Dividing both the numerator and the denominator by 6 gives us 1/2. Therefore, 6/12 is equivalent to 2/4.
The fractions 3/6, 4/8, and 6/12 are all equivalent to 2/4 because when simplified, they equal 1/2, which is the simplest form of 2/4.