Question: What is $\frac{x-4y}{30x^2y^3} + \frac{x-4y}{30x^2y^3}$
1. **State the problem:** Simplify the expression $$\frac{x-4y}{30x^2y^3} + \frac{x-4y}{30x^2y^3}$$.
2. **Identify the formula and rules:** When adding fractions with the same denominator, add the numerators and keep the denominator the same:
$$\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$$
3. **Apply the rule:** Since both fractions have the same denominator, add the numerators:
$$\frac{(x-4y) + (x-4y)}{30x^2y^3}$$
4. **Simplify the numerator:**
$$ (x-4y) + (x-4y) = 2(x-4y) $$
5. **Rewrite the expression:**
$$\frac{2(x-4y)}{30x^2y^3}$$
6. **Simplify the fraction:** Divide numerator and denominator by 2:
$$\frac{\cancel{2}(x-4y)}{\cancel{2} \cdot 15 x^2 y^3} = \frac{x-4y}{15 x^2 y^3}$$
7. **Final answer:**
$$\boxed{\frac{x-4y}{15 x^2 y^3}}$$