1. What is Fraction Addition?

Fraction addition combines two fractions into a single fraction. To add fractions with different denominators, we first find a common denominator by multiplying the denominators, then adjust the numerators accordingly.

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 first calculates the sum using the common denominator (b×d), then simplifies the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD).

3. Importance of Simplifying Fractions

Details: Simplifying fractions makes them easier to understand and work with. A simplified fraction is in its lowest terms when the numerator and denominator have no common divisors other than 1.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators must be positive integers. The calculator will show both the unsimplified and simplified results.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. Division by zero is undefined.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator, then divides both by this number.

Q3: What if the result is a whole number?
A: The calculator will show this (e.g., "4/2 = 2" or "3/1 = 3").

Q4: Can I use negative numbers?
A: Yes, the calculator handles negative numerators (e.g., "-1/2 + 1/2 = 0/4 = 0").

Q5: Does this work for mixed numbers?
A: No, you should convert mixed numbers to improper fractions first (e.g., 1½ = 3/2).