The equation in the image involves division of fractions and the process of multiplying by the reciprocal of the divisor. Let’s break it down step by step:

1. The given equation is: $\frac{3}{4} \div \left( \frac{-7}{11} \right) = \frac{3}{4} \cdot \left( \frac{-11}{7} \right)$

2. Division of fractions means multiplying by the reciprocal. So, dividing by $\frac{-7}{11}$ becomes multiplying by its reciprocal, $\frac{-11}{7}$.

3. The missing value in the box should be $7$, as that is the denominator of the reciprocal.

Thus, the completed equation is: $\frac{3}{4} \cdot \left( \frac{-11}{7} \right)$

Would you like further explanation on how to solve this product, or do you have any questions?

Here are some follow-up questions for further practice:

1. What is the product of $\frac{3}{4} \cdot \left( \frac{-11}{7} \right)$?
2. How do you multiply two fractions?
3. What is the reciprocal of a fraction, and why is it used when dividing?
4. How do you simplify complex fractions?
5. Can division of fractions be applied to mixed numbers?

Tip: Always remember that dividing fractions is the same as multiplying by the reciprocal!