Reduse the following rational number -3/-6

To reduce the rational number \(\frac{-3}{-6}\), you can follow these steps:

1. **Simplify the signs**: A negative divided by a negative results in a positive, so \(\frac{-3}{-6} = \frac{3}{6}\).

2. **Find the greatest common divisor (GCD)** of the numerator (3) and the denominator (6). The GCD of 3 and 6 is 3.

3. **Divide both the numerator and the denominator** by their GCD:
   \[
   \frac{3 \div 3}{6 \div 3} = \frac{1}{2}
   \]

Therefore, the rational number \(\frac{-3}{-6}\) reduces to \(\frac{1}{2}\).

Would you like further details or have any questions?

Here are some related questions to consider:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What are the rules for determining the sign of a fraction when both the numerator and denominator are negative?
3. How do you convert a reduced fraction back to its original form?
4. What steps would you take to reduce a fraction with larger numbers, like \(\frac{24}{36}\)?
5. How can you check if a fraction is already in its simplest form?

**Tip:** Always remember that a negative sign in both the numerator and denominator cancels out, resulting in a positive fraction.

Learn how to reduce the rational number \(\frac{-3}{-6}\) to its simplest form with step-by-step instructions. Understand the concept of fractions, handling negative numbers, and finding the greatest common divisor (GCD). Suitable for students in Grades 6-8.

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