1. What is 3-Digit Fraction Subtraction?

This calculator performs subtraction of 1 from a 3-digit fraction by converting it to a common denominator. The formula transforms the calculation into a simple numerator subtraction while keeping the denominator the same.

2. How Does the Calculator Work?

The calculator uses the fraction subtraction formula:

Where:

• \( a \) — 3-digit numerator (100-999)
• \( b \) — 3-digit denominator (100-999)

Explanation: Subtracting 1 from a fraction is equivalent to subtracting the denominator from the numerator while keeping the denominator unchanged.

3. Importance of Fraction Calculation

Details: Understanding fraction operations is fundamental in mathematics and has applications in various fields including engineering, physics, and finance.

4. Using the Calculator

Tips: Enter 3-digit numbers for both numerator and denominator (100-999). The calculator will compute the result of subtracting 1 from your fraction.

5. Frequently Asked Questions (FAQ)

Q1: Why limit to 3-digit numbers?
A: This calculator is designed specifically for 3-digit fractions, but the same principle applies to any fraction.

Q2: What if numerator is smaller than denominator?
A: The result will be a negative fraction, which is mathematically valid.

Q3: Can the result be simplified?
A: Yes, the result can often be simplified by dividing numerator and denominator by their greatest common divisor.

Q4: What if denominator is zero?
A: The calculator prevents this by requiring denominator between 100-999.

Q5: Can this be used for mixed numbers?
A: For mixed numbers, first convert to improper fraction before using this calculator.