To solve \(-\frac{7}{9} \times 2 \frac{3}{4}\), follow these steps:

1. Convert the mixed number \(2 \frac{3}{4}\) into an improper fraction:
   \[
   2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4}
   \]

2. Now, multiply the fractions:
   \[
   -\frac{7}{9} \times \frac{11}{4} = \frac{-7 \times 11}{9 \times 4} = \frac{-77}{36}
   \]

So, the result is \(\frac{-77}{36}\) or \(-\frac{77}{36}\).

If you'd like, you can convert this back into a mixed number:
\[
-\frac{77}{36} = -2 \frac{5}{36}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you convert improper fractions back into mixed numbers?
2. How do you multiply fractions with negative numbers?
3. Can you simplify a fraction before multiplying?
4. How do you divide fractions?
5. What is the difference between multiplying and dividing fractions?

**Tip:** When multiplying fractions, always check if you can simplify the fractions before doing the multiplication for easier calculations.

Learn how to multiply fractions involving negative numbers and mixed numbers with this step-by-step guide. We solve the problem -7/9 x 2 3/4, covering the conversion of mixed numbers to improper fractions and multiplying fractions. Suitable for Grades 6-8.

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