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

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To simplify the fraction ( \frac{8}{12} ), one must find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 8 and 12 is 4.

Next, divide both the numerator and denominator by their GCD.

Starting with the numerator:

[

\frac{8}{4} = 2

]

Now for the denominator:

[

\frac{12}{4} = 3

]

Putting them together, the simplified form of the fraction is:

[

\frac{2}{3}

]

This means that ( \frac{2}{3} ) is the simplest form of ( \frac{8}{12} ) because it cannot be reduced any further. The method shows how fractions are simplified using GCD, emphasizing the importance of finding common factors.

Using ( \frac{2}{3} ) allows us to accurately represent the proportional relationship of the original fraction in its simplest terms, making it easy to understand and use in further calculations or comparisons.

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