https://r2.erweima.ai/mathbot/image/172654106903459wsqi2m.pdf

The document you've uploaded is a math exercise sheet titled "Matemáticas II," which focuses on problems involving multiplication and division of signed numbers. Here are the main questions from the document:

1. By how much should \( \frac{18}{7} \) be divided to obtain \( -\frac{5}{2} \)?
2. What number divided by \( -9 \) gives the quotient \( \frac{6}{7} \)?
3. By how much should \( -\frac{3}{2} \) be multiplied to obtain \( 1 \)?
4. What is the dividend if the quotient is \( -\frac{8}{5} \) and the divisor is \( \frac{9}{8} \)?
5. By how much should \( \frac{8}{3} \) be divided to get the result \( -\frac{9}{13} \)?

Would you like a step-by-step solution to these problems or assistance with a specific one?

Here are 5 related questions to expand your understanding:
1. How do you divide fractions with different signs?
2. What happens when you multiply two negative fractions?
3. How can you simplify complex fractions?
4. What are the key rules for dividing signed numbers?
5. How do you verify the result of a division problem?

**Tip:** When multiplying or dividing fractions, always simplify the fractions before performing the operation—it can save time and reduce errors.

By how much should \( \frac{18}{7} \) be divided to obtain \( -\frac{5}{2} \)?

Solve a problem involving the division of signed fractions, such as dividing \( \frac{18}{7} \) to obtain \( -\frac{5}{2} \). Learn key mathematical concepts, including the properties of signed numbers and the division formula for fractions. Suitable for Grades 7-9.

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