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Fraction Subtraction Calculator

Fraction Subtraction Formula:

\[ \frac{a}{b} - \frac{c}{d} = \frac{a \times d - b \times c}{b \times d} \]

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1. What is Fraction Subtraction?

Fraction subtraction is a mathematical operation that finds the difference between two fractions. The operation requires finding a common denominator before subtracting the numerators.

2. How Does the Calculator Work?

The calculator uses the fraction subtraction formula:

\[ \frac{a}{b} - \frac{c}{d} = \frac{a \times d - b \times c}{b \times d} \]

Where:

Explanation: The calculator first finds a common denominator by multiplying the denominators, then subtracts the numerators accordingly, and finally simplifies the resulting fraction.

3. Importance of Fraction Subtraction

Details: Fraction subtraction is fundamental in mathematics, used in various fields including engineering, physics, and everyday calculations. Understanding fraction operations is essential for solving complex mathematical problems.

4. Using the Calculator

Tips: Enter the numerators and denominators of both fractions. All denominators must be non-zero integers. The calculator will display both the unsimplified and simplified results.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: A negative result means the second fraction was larger than the first. The calculator will properly display negative fractions.

Q2: What if the denominators are the same?
A: The calculator still works correctly - it will subtract numerators directly and keep the common denominator.

Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator to simplify the fraction.

Q4: Can I use this for mixed numbers?
A: No, this calculator is for proper and improper fractions only. Convert mixed numbers to fractions first.

Q5: What if I enter zero for a denominator?
A: The calculator requires non-zero denominators (division by zero is undefined).

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