1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. The result can 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:

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

Explanation: The calculator first multiplies the numerators and denominators, then simplifies the resulting fraction by finding the greatest common divisor.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in mathematics, used in algebra, calculus, physics, engineering, and many real-world applications like scaling recipes or calculating probabilities.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator will show the raw product, simplified fraction, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if one of the denominators is zero?
A: Division by zero is undefined. The calculator will not accept zero denominators.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm.

Q3: Can I enter negative fractions?
A: Yes, negative values are accepted. The negative sign can be in either numerator or denominator.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions before entering (e.g., 2½ becomes 5/2).

Q5: How precise are the results?
A: Results are precise up to 4 decimal places for the decimal value. The fraction remains exact.