1. What is Fraction Subtraction?

Fraction subtraction with different denominators requires finding a common denominator before performing the operation. The formula converts both fractions to equivalent fractions with the same denominator before subtraction.

2. How Does the Calculator Work?

The calculator uses the 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 formula finds a common denominator by multiplying the denominators, then adjusts the numerators accordingly before performing the subtraction.

3. Importance of Common Denominator

Details: Fractions can only be directly subtracted when they have the same denominator. The common denominator is essential for proper fraction arithmetic.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators must be positive integers. The calculator will simplify the result if possible.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need a common denominator?
A: Fractions represent parts of a whole, and the denominator indicates how many parts make up that whole. To subtract parts meaningfully, they must be parts of the same-sized whole.

Q2: What if denominators are the same?
A: If denominators are identical, simply subtract the numerators and keep the denominator: a/b - c/b = (a-c)/b.

Q3: How is the result simplified?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by this value.

Q4: Can I subtract mixed numbers?
A: Convert mixed numbers to improper fractions first, then use this calculator.

Q5: What about negative fractions?
A: Negative numerators are allowed. The calculator handles negative results appropriately.