Use the distributive property to remove the parentheses. Simplify your answer as much as possible. $$ \frac{2}{3}(2-9 x) $$

Question

UpStudy AI · Accepted Answer

To use the distributive property on the expression $$ \frac{2}{3}(2 - 9x) $$, follow these steps:

1. **Distribute $$ \frac{2}{3} $$ to each term inside the parentheses:**
   $$
   \frac{2}{3} \times 2 - \frac{2}{3} \times 9x
   $$

2. **Simplify each multiplication:**
   $$
   \frac{2}{3} \times 2 = \frac{4}{3}
   $$
   $$
   \frac{2}{3} \times 9x = \frac{18}{3}x = 6x
   $$

3. **Combine the results:**
   $$
   \frac{4}{3} - 6x
   $$

So, the simplified expression is:

$$
\frac{4}{3} - 6x
$$
$$\frac{4}{3} - 6x$$

Use the distributive property to remove the parentheses. Simplify your answer as much as possible. \( \frac{2}{3}(2-9 x) \)