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 (bd), then performs the operation on the numerators, 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 as integers (denominators must be positive). Select addition or subtraction operation. The calculator will show both the unsimplified and simplified results.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: Negative results are valid and indicate the combined value is less than zero. The calculator will properly simplify negative fractions.

Q2: What if denominators are the same?
A: The calculator still works correctly - the common denominator will be the same as the input denominators.

Q3: How are improper fractions handled?
A: Improper fractions (where numerator > denominator) are handled normally and simplified like proper fractions.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions before using the calculator (e.g., 2½ becomes 5/2).

Q5: Can I use this for algebraic fractions?
A: This calculator is designed for numerical fractions. Algebraic fractions require special handling of variables.