To simplify the fraction \(\frac{-2284}{1713}\), we need to find the greatest common divisor (GCD) of the numerator and the denominator.

### Step 1: Find the GCD of 2284 and 1713.
- 2284 factors: \(2^2 \times 571\)
- 1713 factors: \(3 \times 571\)

The GCD is 571.

### Step 2: Simplify the fraction by dividing both the numerator and the denominator by the GCD.
\[
\frac{-2284}{1713} = \frac{-2284 \div 571}{1713 \div 571} = \frac{-4}{3}
\]

So, the simplified form of \(\frac{-2284}{1713}\) is \(\frac{-4}{3}\).

Would you like any further clarification or details?

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**Related Questions:**
1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process of simplifying fractions?
3. Can all fractions be simplified?
4. How do you factorize numbers to find the GCD?
5. How do you work with improper fractions in algebra?

**Tip:** Simplifying fractions can make further calculations easier and help in identifying patterns or solutions more quickly.

Learn how to simplify the fraction -2284/1713 with a step-by-step solution. Understand the process of finding the greatest common divisor (GCD) and reducing fractions. Suitable for Grades 7-9.

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