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Fraction Subtraction Formula:
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Fraction subtraction is a mathematical operation that finds the difference between two fractions. Unlike whole numbers, fractions require a common denominator before they can be subtracted. The result is another fraction that represents the difference between the two original fractions.
The calculator uses the standard fraction subtraction formula:
Where:
Explanation: The calculator first finds a common denominator by multiplying the denominators, then adjusts the numerators accordingly before performing the subtraction. Finally, it simplifies the result by dividing both numerator and denominator by their greatest common divisor.
Details: Fraction subtraction is fundamental in mathematics and has applications in various fields including engineering, physics, cooking, and financial calculations. Understanding how to subtract fractions is essential for solving more complex mathematical problems.
Tips: Enter the numerators and denominators of both fractions. Denominators cannot be zero. The calculator will display the result in both unsimplified and simplified forms (if simplification is possible).
Q1: What if my denominators are already the same?
A: The calculator still works correctly. When denominators are equal, the formula simplifies to (a - c)/b.
Q2: Can I subtract mixed numbers with this calculator?
A: First convert mixed numbers to improper fractions. For example, 2 1/2 becomes 5/2.
Q3: What if my result is negative?
A: A negative result means the second fraction was larger than the first. The calculator handles negative values correctly.
Q4: Why does the denominator have to be non-zero?
A: Division by zero is mathematically undefined. A fraction with zero denominator doesn't exist.
Q5: Can I use decimal numbers?
A: Yes, the calculator accepts decimal inputs, but the result will be shown as a simplified fraction.