1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. The result may often be simplified by dividing both numerator and denominator by their greatest common divisor.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

Where:

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

Explanation: The product of two fractions is obtained by multiplying the numerators to get the new numerator and multiplying the denominators to get the new denominator.

3. Importance of Fraction Multiplication

Details: Multiplying fractions is fundamental in mathematics, used in scaling recipes, calculating probabilities, determining areas, and solving many real-world problems involving ratios and proportions.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator will show both the raw product and simplified form if simplification is possible.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply a fraction by a whole number?
A: Yes, treat the whole number as a fraction with denominator 1 (e.g., 5 = 5/1).

Q2: What if one denominator is zero?
A: Division by zero is undefined. The calculator requires non-zero denominators.

Q3: How is simplification performed?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator using the Euclidean algorithm.

Q4: Can I enter negative fractions?
A: Yes, negative values are acceptable. The sign will appear in the simplified result.

Q5: Does order of multiplication matter?
A: No, fraction multiplication is commutative: a/b × c/d = c/d × a/b.