1. What is Fraction Addition?

Fraction addition combines two fractions into a single fraction. To add fractions, they must have the same denominator (common denominator). This calculator shows each step of the process.

2. How Fraction Addition Works

The mathematical formula for adding two fractions:

Where:

• \( a \) — Numerator of first fraction
• \( b \) — Denominator of first fraction (cannot be zero)
• \( c \) — Numerator of second fraction
• \( d \) — Denominator of second fraction (cannot be zero)

3. Step-by-Step Calculation

Step 1: Find common denominator by multiplying denominators (b × d)
Step 2: Convert each fraction to equivalent fraction with common denominator
Step 3: Add the numerators (a×d + b×c)
Step 4: Combine the result over the common denominator
Step 5: Simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD)

4. Using the Calculator

Instructions: Enter numerators and denominators for both fractions. Denominators must be positive integers. The calculator will show each step of the addition process and the simplified result.

5. Frequently Asked Questions (FAQ)

Q1: What if denominators are already the same?
A: The calculation is simpler - just add numerators and keep the same denominator.

Q2: Can I add more than two fractions?
A: Yes, by finding a common denominator for all fractions and adding all numerators.

Q3: What about mixed numbers?
A: Convert mixed numbers to improper fractions first, then add normally.

Q4: How do you simplify fractions?
A: Divide numerator and denominator by their greatest common divisor (GCD).

Q5: What if the result is an improper fraction?
A: You can keep it as an improper fraction or convert to a mixed number.