To expand \( \frac{1}{3}(q - 6) \) using the Distributive Property, you multiply \( \frac{1}{3} \) by each term inside the parentheses.
Here's how it works step by step:
-
Distribute \( \frac{1}{3} \) to \( q \): \[ \frac{1}{3} \cdot q = \frac{q}{3} \]
-
Distribute \( \frac{1}{3} \) to \(-6\): \[ \frac{1}{3} \cdot (-6) = -\frac{6}{3} = -2 \]
Now, combine the results: \[ \frac{1}{3}(q - 6) = \frac{q}{3} - 2 \]
So, the expanded form of \( \frac{1}{3}(q - 6) \) is: \[ \frac{q}{3} - 2 \]