To determine a third of [tex]$12,000, follow these detailed steps:
1. Understanding the fraction: A third means dividing something into three equal parts. Mathematically, this can be represented by the fraction \(\frac{1}{3}\).
2. Multiplying the amount by the fraction: To find a third of an amount, multiply the total amount by \(\frac{1}{3}\). Therefore, you want to calculate:
\[
12000 \times \frac{1}{3}
\]
3. Perform the multiplication: Multiply $[/tex]12,000 by [tex]\(\frac{1}{3}\)[/tex].
4. Result: The result of this calculation is [tex]$4,000.
Therefore, a third of $[/tex]12,000 is $4,000.