1. What is the Basic Algebra Calculator?

This calculator performs addition between a simple fraction (a/b) and a mixed number (c d/e). It shows all intermediate steps in the calculation process, including conversion to improper fractions and final simplification.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction
• \( c \) — Whole number part of mixed number
• \( d \) — Numerator of mixed number fraction
• \( e \) — Denominator of mixed number fraction

Explanation: The calculator first converts the mixed number to an improper fraction, then finds a common denominator, adds the fractions, and simplifies the result.

3. Importance of Fraction Calculations

Details: Understanding fraction operations is fundamental in algebra and essential for solving equations, working with ratios, and performing measurements in science and engineering.

4. Using the Calculator

Tips: Enter all required values (a, b, c, d, e). Denominators (b and e) must be positive integers. The calculator will show each step of the calculation process.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator requires positive denominators. Division by zero is mathematically undefined.

Q2: How does the simplification work?
A: The calculator uses the greatest common divisor (GCD) to reduce fractions to their simplest form.

Q3: Can I use negative numbers?
A: Yes, the calculator handles negative values for numerators and whole numbers.

Q4: Why does it show mixed numbers in results?
A: For readability, the calculator converts improper fractions back to mixed numbers when possible.

Q5: Can this handle complex fractions?
A: This calculator is designed for basic fraction operations. Complex fractions may require specialized tools.