https://file.aiquickdraw.com/mathbot/file/1725916468117uy7pf06y.jpg

The equation provided is:

\[
-\frac{6}{5} \div \left(-\frac{4}{7}\right) = \frac{c}{d}
\]

Let's solve this step-by-step:

### Step 1: Simplify the division
When dividing fractions, we multiply by the reciprocal. The equation becomes:

\[
-\frac{6}{5} \times \left(-\frac{7}{4}\right)
\]

### Step 2: Multiply the fractions
To multiply fractions, multiply the numerators and the denominators:

\[
\left(-6 \times -7\right) \div \left(5 \times 4\right) = \frac{42}{20}
\]

### Step 3: Simplify the result
Simplify \(\frac{42}{20}\) by dividing both the numerator and denominator by 2:

\[
\frac{42 \div 2}{20 \div 2} = \frac{21}{10}
\]

Thus, the equation becomes:

\[
\frac{c}{d} = \frac{21}{10}
\]

So, \(c = 21\) and \(d = 10\).

### Step 4: Determine the sign
The multiplication of two negative numbers results in a positive number. Hence, the result is positive.

### Final answers:
- **+ or -**: \(+\)
- **c**: \(21\)
- **d**: \(10\)

Let me know if you'd like further details, or if you have any questions!

Here are 5 related questions:
1. What is the general rule for dividing fractions?
2. How can you simplify fractions more quickly?
3. What happens when you multiply two negative numbers?
4. How would the result change if one of the fractions were positive?
5. Can you apply this method to a real-world division problem involving fractions?

**Tip**: Always simplify fractions to their lowest terms to avoid handling large numbers.

Learn how to divide fractions and simplify expressions with this step-by-step guide on solving -(6/5) ÷ (-(4/7)). This problem covers core concepts like the division and multiplication of fractions, along with the simplification process. Suitable for students in Grades 6-8.

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