https://file.aiquickdraw.com/mathbot/file/1726263710150k17mn20i.jpg

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!

What is the value that completes the equation 3/4 ÷ (-7/11) = 3/4 * (-11/□)?

Understand how to solve 3/4 ÷ (-7/11) by multiplying by the reciprocal. This problem introduces key concepts like fraction division, multiplication of fractions, and using reciprocals. Suitable for students in Grades 6-8.

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