How do you write the fraction 9/12 in simplest form?

To simplify the fraction 9/12, you need to find the greatest common divisor (GCD) of the numerator (9) and the denominator (12). The GCD of 9 and 12 is 3.

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

Dividing the numerator:

9 ÷ 3 = 3

Dividing the denominator:

12 ÷ 3 = 4

Thus, the simplified form of 9/12 is 3/4. This represents the same quantity as the original fraction but in its simplest form.

Understanding the simplification process is crucial as it allows for clearer communication of values. When teaching students, it’s important to emphasize the importance of reducing fractions to their simplest form for ease of use in calculations and comparisons.