1. What is Algebraic Fraction Calculator?

This calculator performs operations on algebraic fractions of the form (ax/b) op (cy/d), where op can be addition or subtraction. It handles both numerical coefficients and algebraic variables.

2. How Does the Calculator Work?

The calculator uses the standard algebraic fraction operations:

Where:

• \( a, c \) — Coefficients (numerical values)
• \( x, y \) — Variables (algebraic symbols)
• \( b, d \) — Denominators (numerical values)
• \( \pm \) — Addition or subtraction operation

Explanation: The calculator finds a common denominator and combines the numerators according to the specified operation.

3. Importance of Algebraic Fractions

Details: Algebraic fractions are fundamental in algebra and appear in various mathematical applications including equation solving, calculus, and physics problems.

4. Using the Calculator

Tips: Enter coefficients as numbers, variables as letters (like x, y, z), and denominators as non-zero numbers. The calculator will show both the expanded and simplified forms of the result.

5. Frequently Asked Questions (FAQ)

Q1: Can I use multiple variables?
A: Yes, you can enter any single-letter variable (like x, y, z) in the variable fields.

Q2: What if denominators are equal?
A: The calculator still works correctly and will show the simplified form with the common denominator.

Q3: Can I use negative coefficients?
A: Yes, the calculator handles both positive and negative coefficients.

Q4: What about multiplication or division?
A: This calculator currently only handles addition and subtraction. Multiplication and division would require different formulas.

Q5: How precise are the calculations?
A: The calculator uses floating-point arithmetic with standard PHP precision (about 14 decimal digits).