1. What is Fraction Subtraction?

Fraction subtraction involves finding a common denominator, adjusting the numerators accordingly, and then subtracting the numerators while keeping the denominator the same. The result should always be simplified to its lowest terms.

2. How Does the Calculator Work?

The calculator uses the standard fraction subtraction formula:

Where:

• \( a \) — Numerator of first fraction
• \( b \) — Denominator of first fraction
• \( c \) — Numerator of second fraction
• \( d \) — Denominator of second fraction

Explanation: The calculator finds a common denominator by multiplying the denominators, adjusts the numerators accordingly, performs the subtraction, and simplifies the result.

3. Importance of Showing Work

Details: Showing the step-by-step work helps students understand the process of fraction subtraction, which is crucial for building a strong foundation in mathematics.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators must be positive integers. The calculator will show both the raw result and simplified form.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are already the same?
A: The calculator still works correctly - it will simply multiply the denominators (resulting in the square of your denominator) before simplifying.

Q2: Can I subtract mixed numbers with this calculator?
A: First convert mixed numbers to improper fractions. For example, 2 1/2 becomes 5/2.

Q3: What if my result is negative?
A: Negative results are valid and will be shown with the negative sign in the numerator.

Q4: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q5: What if my result is an improper fraction?
A: The calculator shows the result as-is. You may optionally convert it to a mixed number if desired.