Yes, the equation \(\frac{-64}{343} = \frac{64}{-343}\) is correct. 

Both fractions represent the same value because the negative sign can be placed either in the numerator or the denominator, but not both at the same time. This property holds because:

\[
\frac{-a}{b} = \frac{a}{-b}
\]

So, \(\frac{-64}{343}\) is equivalent to \(\frac{64}{-343}\), and both simplify to \(-\frac{64}{343}\).

Would you like further details or explanations?

Here are 5 related questions:
1. What is the general rule for handling negative signs in fractions?
2. How do you simplify a fraction with a negative sign in both numerator and denominator?
3. Can you compare \(\frac{-a}{b}\) with \(\frac{a}{b}\) when \(a\) and \(b\) are both positive?
4. What is the decimal representation of \(-\frac{64}{343}\)?
5. Can you express \(-\frac{64}{343}\) as a mixed number?

**Tip:** In a fraction, moving the negative sign between the numerator and denominator does not change the value of the fraction.

Learn how to handle negative signs in fractions with a detailed explanation of why 64/343 is equal to 64/-343. This problem covers core fraction concepts and the rule for placing negative signs. Suitable for students in Grades 6-8.

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