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Additive Inverse Calculator Fractions

Additive Inverse Formula:

\[ \text{Additive Inverse} = -\frac{\text{numerator}}{\text{denominator}} \]

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1. What Is Additive Inverse?

The additive inverse of a number is a value that, when added to the original number, results in zero. For fractions, the additive inverse is simply the negative of the original fraction.

2. How Does The Calculator Work?

The calculator uses the additive inverse formula:

\[ \text{Additive Inverse} = -\frac{\text{numerator}}{\text{denominator}} \]

Where:

Explanation: The calculator takes the fraction and simply changes its sign to find the additive inverse.

3. Importance Of Additive Inverse

Details: Additive inverses are fundamental in algebra and arithmetic, used in solving equations, simplifying expressions, and understanding number properties.

4. Using The Calculator

Tips: Enter both numerator and denominator values. The denominator must be a non-zero number. The calculator will compute and display the additive inverse.

5. Frequently Asked Questions (FAQ)

Q1: What is the additive inverse of zero?
A: The additive inverse of zero is zero itself, since 0 + 0 = 0.

Q2: Can the denominator be negative?
A: Yes, the denominator can be negative. The calculator will handle negative denominators correctly.

Q3: What happens if I enter zero as denominator?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q4: Does the calculator simplify fractions?
A: The calculator computes the additive inverse but doesn't simplify the resulting fraction to lowest terms.

Q5: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers for both numerator and denominator.

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