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Which fraction is equivalent to 12/16?

  1. 2/4

  2. 3/4

  3. 4/5

  4. 1/2

The correct answer is: 3/4

To determine which fraction is equivalent to 12/16, we start by simplifying the fraction. The greatest common divisor (GCD) of the numerator (12) and the denominator (16) is 4. By dividing both the numerator and the denominator by 4, we find: 12 ÷ 4 = 3 16 ÷ 4 = 4 Thus, the simplified form of 12/16 is 3/4. This means that 3/4 maintains the same value as 12/16, confirming that it is equivalent. In contrast, the other options either simplify to different values or do not share the same value as 12/16. Therefore, the reasoning for selecting 3/4 as the equivalent fraction is based on the proper simplification of the original fraction.