1. What is a Fraction Subtraction Calculator?

Definition: This calculator performs subtraction between two fractions using the standard mathematical method of finding a common denominator.

Purpose: It helps students, teachers, and professionals quickly and accurately subtract fractions while providing the result in both original and simplified forms.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \frac{a}{b} \) — First fraction
• \( \frac{c}{d} \) — Second fraction
• Numerator result — \( (a \times d) - (b \times c) \)
• Denominator result — \( b \times d \)

Explanation: The calculator finds a common denominator by multiplying the denominators, adjusts the numerators accordingly, subtracts them, and simplifies the result.

3. Importance of Fraction Subtraction

Details: Mastering fraction operations is fundamental in mathematics, essential for algebra, calculus, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators must be positive integers. The calculator will show both the direct result and simplified form.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need a common denominator?
A: Fractions can only be directly subtracted when they have the same denominator, as they represent parts of the same whole.

Q2: What if my denominators are already the same?
A: The calculator still works correctly - it will simply multiply by 1 (e.g., 3/4 - 1/4 becomes (3×4-4×1)/16 which simplifies to 8/16 or 1/2).

Q3: Can I subtract mixed numbers with this?
A: First convert mixed numbers to improper fractions (e.g., 1½ becomes 3/2), then use the calculator.

Q4: What about negative fractions?
A: Negative numerators work fine (e.g., -1/2 - 3/4). Negative denominators are invalid.

Q5: How is the simplification calculated?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator, then divides both by this value.