1. What is Fraction Addition?

Adding fractions with different denominators requires finding a common denominator. The standard method multiplies each fraction's numerator and denominator by the other fraction's denominator to create equivalent fractions with the same denominator.

2. How Does the Calculator Work?

The calculator uses the fraction addition formula:

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)

Explanation: The calculator first finds the common denominator (b×d), then adds the adjusted numerators, and finally simplifies the resulting fraction.

3. Importance of Common Denominator

Details: Fractions can only be directly added when they share the same denominator. The common denominator represents equivalent portions of the whole.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: Negative fractions are valid results when adding positive and negative fractions.

Q2: Can I add more than two fractions?
A: This calculator handles two fractions. For more, add them two at a time.

Q3: What if my denominator is zero?
A: The calculator prevents zero denominators as they're mathematically undefined.

Q4: How is simplification performed?
A: The calculator uses the greatest common divisor (GCD) to reduce fractions.

Q5: Can I use decimals?
A: This calculator uses integers only. For decimals, convert to fractions first.