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Fractions Calculator With Negatives Numbers

Negative Fractions Calculation:

\[ \left(-\frac{a}{b}\right) - \left(-\frac{c}{d}\right) = \text{Result} \]

\[ \left(-\frac{ab\right) - \left(-\frac{cd\right) = ? \]

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1. What is Negative Fractions Calculation?

The negative fractions calculation evaluates expressions like (-a/b) - (-c/d). Understanding how to work with negative fractions is essential in algebra and higher mathematics.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \left(-\frac{a}{b}\right) - \left(-\frac{c}{d}\right) = -\frac{a}{b} + \frac{c}{d} = \frac{-ad + bc}{bd} \]

Where:

Explanation: The calculator first converts the subtraction of negatives to addition, finds a common denominator, combines the numerators, and simplifies the result.

3. Importance of Negative Fractions

Details: Negative fractions appear frequently in algebraic equations, physics problems, and financial calculations. Mastering their manipulation is fundamental to advanced mathematics.

4. Using the Calculator

Tips: Enter all four values (a, b, c, d). Denominators cannot be zero. The calculator will automatically simplify the resulting fraction to its lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need special rules for negative fractions?
A: Negative signs can be associated with either the numerator, denominator, or the whole fraction, but all these forms are equivalent.

Q2: What if my denominator is negative?
A: The calculator requires positive denominators. If you have a negative denominator, move the negative sign to the numerator.

Q3: How does the calculator simplify fractions?
A: It divides both numerator and denominator by their greatest common divisor (GCD).

Q4: Can I enter decimal numbers?
A: No, this calculator works only with integers for numerator and denominator values.

Q5: What if the result is a whole number?
A: The calculator will display it as such (e.g., 5 instead of 5/1).

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