\dfrac{7}{9} \times \left(-\dfrac{9}{8}\right)

To solve the expression \(\dfrac{7}{9} \times \left(-\dfrac{9}{8}\right)\), follow these steps:

1. **Multiply the numerators**: \(7 \times -9 = -63\)
2. **Multiply the denominators**: \(9 \times 8 = 72\)

So, the expression simplifies to:

\[
\dfrac{-63}{72}
\]

3. **Simplify the fraction**: Find the greatest common divisor (GCD) of 63 and 72, which is 9. 

\[
\dfrac{-63 \div 9}{72 \div 9} = \dfrac{-7}{8}
\]

Thus, the simplified result is:

\[
\dfrac{-7}{8}
\]

Would you like any further details or have any questions?

Here are some related questions:

1. How do you multiply two fractions?
2. What is the process for simplifying a fraction?
3. How do you find the greatest common divisor (GCD) of two numbers?
4. What are the rules for multiplying positive and negative numbers?
5. Can you explain why \(-7/8\) is in its simplest form?

**Tip:** When multiplying fractions, multiply the numerators together and the denominators together before simplifying the result.

Learn how to multiply and simplify fractions with a step-by-step example involving -7/8. This problem covers key concepts in fractions and negative numbers, including multiplication of fractions and simplification techniques. Suitable for Grades 7-9 students.

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