https://file.aiquickdraw.com/mathbot/file/172979117991620b4eocc.jpg

Let's evaluate and reduce the expression:

\[
\left( \frac{-10}{3} \right) \times \left( \frac{-7}{10} \right)
\]

### Step 1: Multiply the numerators
\[
-10 \times -7 = 70
\]

### Step 2: Multiply the denominators
\[
3 \times 10 = 30
\]

So the result of the multiplication is:
\[
\frac{70}{30}
\]

### Step 3: Simplify the fraction
We can simplify \(\frac{70}{30}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 10:
\[
\frac{70}{30} = \frac{70 \div 10}{30 \div 10} = \frac{7}{3}
\]

Thus, the answer that belongs in the green box is **7/3**.

Would you like further details on the steps or have any other questions?

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Here are 5 related questions for practice:
1. How do you multiply two fractions with negative numerators?
2. What is the greatest common divisor, and how do you find it?
3. How would the result change if one of the fractions had a positive numerator?
4. How can improper fractions be converted into mixed numbers?
5. What is the process for simplifying a complex fraction?

**Tip**: When multiplying fractions, remember to first multiply the numerators and the denominators separately, and always check for common factors to simplify.

Evaluate and reduce: (-10/3) × (-7/10). Enter the number that belongs in the green box.

Learn how to multiply and simplify the fraction (-10/3) × (-7/10) step by step. This problem covers key concepts of fraction multiplication and simplification, including the use of the greatest common divisor to reduce the result. Suitable for students in Grades 6-8.

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