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The problem you shared is asking you to multiply two fractions:

\[
\left( \frac{-3}{4} \right) \times \left( \frac{-5}{6} \right)
\]

To solve this, follow these steps:

1. Multiply the numerators: \(-3 \times -5 = 15\)
2. Multiply the denominators: \(4 \times 6 = 24\)

So the result is:

\[
\frac{15}{24}
\]

Next, simplify the fraction. The greatest common divisor (GCD) of 15 and 24 is 3, so divide both the numerator and the denominator by 3:

\[
\frac{15 \div 3}{24 \div 3} = \frac{5}{8}
\]

Thus, the simplified answer is:

\[
\boxed{\frac{5}{8}}
\]

Would you like more details on any part of the solution?

Here are 5 related questions:
1. How do you multiply two fractions?
2. Why do you need to simplify fractions?
3. What is the process for finding the greatest common divisor (GCD)?
4. How do you know when a fraction cannot be simplified further?
5. Can this technique be applied to dividing fractions as well?

**Tip**: When multiplying fractions, always check if you can simplify the result by finding the GCD of the numerator and denominator!

Learn how to multiply and simplify the fractions (-3/4) and (-5/6) with a detailed step-by-step solution. This problem covers key mathematical concepts including the multiplication of fractions and simplifying fractions using the greatest common divisor (GCD). Suitable for students in Grades 6-8.

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