1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation that combines two fractions to produce a new fraction. The numerator of the product is the product of the numerators, and the denominator of the product is the product of the denominators.

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 calculator first multiplies the numerators together and the denominators together, then simplifies the resulting fraction by dividing both numerator and denominator by their greatest common divisor.

3. Importance of Fraction Multiplication

Details: Understanding fraction multiplication is fundamental in mathematics and essential for solving problems in algebra, physics, engineering, and everyday situations like cooking or measuring.

4. Using the Calculator

Tips: Enter integer values for all four fields (a, b, c, d). Denominators cannot be zero. The calculator will show both the raw product and simplified form if applicable.

5. Frequently Asked Questions (FAQ)

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

Q2: 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.

Q3: Can I enter negative fractions?
A: Yes, the calculator handles negative values. The negative sign can be placed on either the numerator or denominator.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions before entering them (e.g., 1½ becomes 3/2).

Q5: Does the calculator show decimal equivalents?
A: This version shows only fractional results, but you can divide numerator by denominator to get the decimal value.