Question: Create the equivalent equation
$\frac{x + 9}{3} = \frac{4x}{3}$
1. **State the problem:** We need to find an equivalent equation for $$\frac{x + 9}{3} = \frac{4x}{3}$$.
2. **Formula and rules:** To find an equivalent equation, we can multiply both sides by the common denominator to eliminate fractions.
3. **Multiply both sides by 3:**
$$3 \times \frac{x + 9}{3} = 3 \times \frac{4x}{3}$$
4. **Cancel the denominators:**
$$\cancel{3} \times \frac{x + 9}{\cancel{3}} = \cancel{3} \times \frac{4x}{\cancel{3}}$$
5. **Simplify:**
$$x + 9 = 4x$$
6. **Rewrite the equivalent equation:**
$$x + 9 = 4x$$
This is the equivalent equation without fractions.