What is the simplest form of the fraction 8/12?

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To simplify the fraction 8/12, you need to find the greatest common divisor (GCD) of the numerator (8) and the denominator (12). The GCD of 8 and 12 is 4.

Now, divide both the numerator and the denominator by their GCD:

  • For the numerator: 8 ÷ 4 = 2

  • For the denominator: 12 ÷ 4 = 3

Thus, the simplified form of the fraction 8/12 is 2/3.

This means that in its simplest form, 8/12 reduces down to 2/3, effectively showing the same proportion of a whole in a more concise manner. A fraction is considered simplified when the numerator and the denominator have no common factors other than 1, which is the case with 2 and 3. The other options do not reflect this simplification process correctly.

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