1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation that combines two fractions to produce a new fraction. The product of two fractions is found by multiplying the numerators together and the denominators together.

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 multiplies the numerators together and the denominators together, then simplifies the resulting fraction to its lowest terms.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in mathematics and has applications in various fields including physics, engineering, and everyday calculations like cooking measurements.

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 possible.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply more than two fractions?
A: Yes, the same rule applies - multiply all numerators together and all denominators together.

Q2: What if one denominator is zero?
A: Division by zero is undefined, so the calculator won't accept zero denominators.

Q3: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator to reduce the fraction.

Q4: Can I use negative numbers?
A: Yes, negative fractions are valid. The negative sign can be in numerator or denominator.

Q5: What about mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2½ becomes 5/2).