Divide.
Write your answer in simplest form.
 
 
\[ -\dfrac{7}{9} \div \dfrac{9}{8} = {?} \]


To solve the division of fractions, you multiply by the reciprocal of the second fraction. Here's how it's done:

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

Now, multiply the numerators together and the denominators together:

\[
-\dfrac{7 \times 8}{9 \times 9} = -\dfrac{56}{81}
\]

Since \(-\dfrac{56}{81}\) is already in its simplest form (no common factors other than 1 between 56 and 81), the answer is:

\[
-\dfrac{56}{81}
\]

Would you like details or have any questions?

Here are some related questions:
1. What is the process for multiplying fractions?
2. How do you find the reciprocal of a fraction?
3. What does it mean for a fraction to be in simplest form?
4. How would you simplify the fraction \(\dfrac{56}{81}\) if it had common factors?
5. What are other examples where dividing fractions can result in a negative fraction?

**Tip:** Always simplify fractions by finding the greatest common divisor (GCD) of the numerator and denominator.

Learn how to divide fractions and solve the problem (-7/9) ÷ (9/8) step-by-step. Understand the process of multiplying by the reciprocal of the divisor fraction. Suitable for students in Grades 6-8.

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