1. What is a Subtracting Fractions Calculator?

Definition: This calculator performs subtraction of two fractions and provides the result in both original and simplified forms.

Purpose: It helps students, teachers, and professionals quickly solve fraction subtraction problems with step-by-step explanations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The calculator finds a common denominator by multiplying the denominators, then subtracts the numerators accordingly.

3. Importance of Fraction Subtraction

Details: Understanding fraction subtraction is fundamental in mathematics, essential for algebra, measurements, and real-world applications like cooking or construction.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions. 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 subtracted when they have the same denominator, as this represents equal-sized parts.

Q2: What if my result is an improper fraction?
A: The calculator shows both forms. Improper fractions (where numerator > denominator) are mathematically valid.

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

Q4: Can I subtract mixed numbers?
A: First convert mixed numbers to improper fractions, then use this calculator.

Q5: What if I get a negative result?
A: Negative results are valid when the first fraction is smaller than the second.