1. What is Fraction Addition?

Fraction addition is the process of combining two fractions into a single fraction. To add fractions, they must have a common denominator. The calculator uses the standard mathematical method for adding any two fractions.

2. How Does the Calculator Work?

The calculator uses the fraction addition formula:

Where:

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

Explanation: The calculator finds a common denominator by multiplying the denominators, then adds the numerators accordingly. It also simplifies the resulting fraction by finding the greatest common divisor.

3. Importance of Common Denominator

Details: Fractions can only be directly added when they share the same denominator. The common denominator is the product of the individual denominators, though the least common denominator may be smaller.

4. Using the Calculator

Tips: Enter numerators and denominators as whole numbers. Denominators must be positive integers. The calculator will show both the unsimplified and simplified results when possible.

5. Frequently Asked Questions (FAQ)

Q1: Can I add more than two fractions?
A: This calculator handles two fractions at a time. For multiple fractions, add them two at a time or find a common denominator for all.

Q2: What if my denominators are the same?
A: If denominators are equal, simply add the numerators and keep the denominator: a/c + b/c = (a+b)/c.

Q3: How does simplification work?
A: The calculator divides numerator and denominator by their greatest common divisor (GCD) to simplify.

Q4: Can I use negative numbers?
A: Yes, numerators can be negative but denominators must be positive.

Q5: What about mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1½ = 3/2).