1. What is Negative Fraction Multiplication?

Multiplying negative fractions follows the same rules as multiplying any negative numbers. When you multiply two negative fractions, the result is positive. This calculator helps you multiply two negative fractions and shows the step-by-step solution.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

Where:

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

Explanation: The negative signs cancel out (negative × negative = positive), then we multiply numerators and denominators separately.

3. Rules for Multiplying Negative Fractions

Key Rules:

• Negative × Negative = Positive
• Multiply numerators with numerators
• Multiply denominators with denominators
• Simplify the resulting fraction by dividing by GCD

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator will show the complete solution with simplification if possible.

5. Frequently Asked Questions (FAQ)

Q1: Why does multiplying two negatives give a positive?
A: This is a fundamental rule of arithmetic. Two negatives cancel each other out in multiplication.

Q2: What if one fraction is positive and one is negative?
A: Then the result would be negative (negative × positive = negative).

Q3: How do you simplify the resulting fraction?
A: Find the greatest common divisor (GCD) of numerator and denominator, then divide both by it.

Q4: Can denominators be negative?
A: Yes, but typically we move the negative sign to the numerator or in front of the fraction.

Q5: What if I get an improper fraction?
A: You can convert it to a mixed number, but the calculator shows it as an improper fraction.