1. What is This Calculator For?

This calculator solves equations of the form (a·x/b) + (c/y), which combines a mixed fraction (coefficient multiplied by variable over denominator) with a regular fraction. It's useful in algebraic manipulations and equation solving.

2. How Does the Calculator Work?

The calculator uses the following equation:

Where:

• \( a \) — Coefficient (unitless)
• \( x \) — Variable (unitless)
• \( b \) — First denominator (must be non-zero)
• \( c \) — Second numerator
• \( y \) — Second denominator (must be non-zero)

3. Mathematical Explanation

Step 1: Find common denominator (b·y)
Step 2: Convert both fractions to have this denominator
Step 3: Add numerators while keeping common denominator
Step 4: Simplify the resulting fraction by finding GCD

4. Using the Calculator

Tips: Enter all required values. Denominators must be non-zero. The calculator will show both the combined fraction and its simplified form (if possible), along with the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are zero?
A: The calculator will not accept zero values for denominators as division by zero is undefined.

Q2: How is the simplification performed?
A: The calculator uses the greatest common divisor (GCD) algorithm to simplify fractions.

Q3: Can I use negative numbers?
A: Yes, the calculator handles negative values for all inputs except denominators.

Q4: What precision does the calculator use?
A: Calculations are performed with floating point precision, displayed to 4 decimal places.

Q5: Can I use this for complex numbers?
A: This calculator is designed for real numbers only.