To rewrite the complex fraction:

\[
\frac{\frac{7}{10}}{-\frac{2}{5}}
\]

we can use the following steps:

### Step 1: Rewrite the division of fractions as a multiplication:
\[
\frac{7}{10} \div -\frac{2}{5} = \frac{7}{10} \times -\frac{5}{2}
\]

### Step 2: Multiply the numerators and the denominators:
\[
= \frac{7 \times (-5)}{10 \times 2} = \frac{-35}{20}
\]

### Step 3: Simplify the fraction:
\[
\frac{-35}{20} = \frac{-7}{4}
\]

Thus, the simplified version of the complex fraction is:

\[
\boxed{\frac{-7}{4}}
\]

Would you like any further details or explanations?

Here are 5 related questions to expand on this topic:
1. How do you convert division of fractions to multiplication?
2. What are the general rules for multiplying fractions?
3. How can you simplify a fraction to its lowest terms?
4. What happens when dividing fractions with negative signs?
5. How can you rewrite improper fractions as mixed numbers?

**Tip:** When dividing fractions, always multiply by the reciprocal of the second fraction.

Learn how to rewrite and simplify the complex fraction 7/10 ÷ -2/5 with a step-by-step guide. This solution covers key concepts such as dividing fractions, simplifying fractions, and handling negative numbers. Ideal for students in Grades 6-8.

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