1. What is Fraction Addition/Subtraction?

Fraction addition and subtraction are fundamental arithmetic operations that combine two fractions into a single fraction. The operations require finding a common denominator before combining the numerators.

2. How Does the Calculator Work?

The calculator uses the standard fraction operation formula:

Where:

• \( a \) — Numerator of first fraction
• \( b \) — Denominator of first fraction
• \( c \) — Numerator of second fraction
• \( d \) — Denominator of second fraction
• \( \pm \) — Addition or subtraction operation

Explanation: The calculator first finds a common denominator by multiplying the denominators, then combines the numerators accordingly, and finally simplifies the result.

3. Importance of Fraction Operations

Details: Understanding fraction operations is essential for algebra, measurements, ratios, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter numerators and denominators (must be positive integers for denominators), select the operation, and click Calculate. The calculator will show the result in both unsimplified and simplified forms when applicable.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need a common denominator?
A: Fractions can only be directly added or subtracted when they represent equal parts, which requires the same denominator.

Q2: What if denominators are already the same?
A: The calculator still works correctly - it will simply multiply the denominators (resulting in a squared denominator) before simplifying.

Q3: Can I enter negative fractions?
A: Yes, numerators can be negative, but denominators must be positive integers.

Q4: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by it.

Q5: What if the result is a whole number?
A: The calculator will display it as a whole number when the denominator simplifies to 1.