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

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

• A. 1/2
• B. 2/3
• C. 3/4
• D. 2/5

Answer: (B)

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.

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.