1. What is Fraction Subtraction?

Fraction subtraction is a mathematical operation that finds the difference between two fractions. To subtract fractions, they must have the same denominator (common denominator). If they don't, we first find equivalent fractions with a common denominator before subtracting.

2. How Does Fraction Subtraction Work?

The calculator uses the fraction subtraction formula:

Where:

• \( a \) — Numerator of first fraction
• \( b \) — Denominator of first fraction
• \( c \) — Numerator of second fraction
• \( d \) — Denominator of second fraction

Explanation: The formula works by finding a common denominator (b × d) and then adjusting the numerators accordingly before performing the subtraction.

3. Importance of Common Denominator

Details: Fractions can only be directly subtracted when they have the same denominator. The common denominator is found by multiplying the denominators of both fractions. This creates equivalent fractions that can be subtracted.

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 the simplified form of the difference.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are already the same?
A: The formula still works! If b = d, the formula simplifies to (a - c)/b.

Q2: Can I subtract mixed numbers with this calculator?
A: First convert mixed numbers to improper fractions, then use the calculator.

Q3: Why do we need to simplify the result?
A: Simplified fractions are in their most reduced form, which is the standard way to present final answers.

Q4: What if I get a negative result?
A: A negative result means the second fraction was larger than the first. The calculator handles negative values correctly.

Q5: Can this calculator handle whole numbers?
A: Yes, enter whole numbers as fractions with denominator 1 (e.g., 5 = 5/1).