1. What is 3-Digit Fraction Subtraction?

3-digit fraction subtraction involves subtracting two fractions where both numerators and denominators are 3-digit numbers. When the numerator of the first fraction is smaller than the second after converting to common denominators, regrouping is needed.

2. How Does the Calculator Work?

The calculator uses the standard fraction subtraction formula:

Where:

• \( a \) — First numerator (3-digit)
• \( b \) — First denominator (3-digit)
• \( c \) — Second numerator (3-digit)
• \( d \) — Second denominator (3-digit)

Explanation: The calculator finds a common denominator, performs the subtraction, and simplifies the result.

3. Importance of Regrouping

Details: Regrouping is necessary when the numerator of the first fraction is smaller than the second after conversion to common denominators. The calculator automatically handles this by performing the proper subtraction with borrowing.

4. Using the Calculator

Tips: Enter all four 3-digit numbers (numerators and denominators). Denominators must be positive numbers. The calculator will show the step-by-step solution.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is negative?
A: A negative result means the second fraction was larger than the first. The calculator will show the proper negative fraction.

Q2: How does regrouping work in fractions?
A: Regrouping is handled automatically when the subtraction of numerators requires borrowing, similar to whole number subtraction.

Q3: What if denominators are equal?
A: The calculator still works correctly, simply subtracting numerators directly when denominators are equal.

Q4: Can I use this for mixed numbers?
A: First convert mixed numbers to improper fractions before using this calculator.

Q5: How are fractions simplified?
A: The calculator finds the greatest common divisor (GCD) to reduce fractions to simplest form.