1. What is the Basic Algebra Calculator?

This calculator performs basic algebraic operations combining fractions and percentages. It computes the sum of a fraction (a/b) and a percentage (c%) by converting both to their decimal equivalents.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless, cannot be zero)
• \( c \) — Percentage value (unitless)

Explanation: The calculator first converts the fraction to its decimal equivalent, then converts the percentage to its decimal equivalent (by dividing by 100), and finally sums these two values.

3. Importance of Fraction-Percentage Calculations

Details: Combining fractions and percentages is fundamental in many areas including finance, chemistry, and statistics. This calculator provides quick conversions between these common mathematical representations.

4. Using the Calculator

Tips: Enter the numerator (a), denominator (b), and percentage (c) values. The denominator must be non-zero. All values are unitless.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter negative values?
A: Yes, the calculator accepts negative values for both the fraction components and the percentage.

Q2: What happens if I enter zero for denominator?
A: The calculator will not compute a result as division by zero is mathematically undefined.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places for readability while maintaining reasonable precision.

Q4: Can this calculator handle complex numbers?
A: No, this calculator only works with real numbers.

Q5: Is there a limit to the size of numbers I can enter?
A: Extremely large numbers may cause precision issues due to floating-point limitations, but normal ranges work fine.