1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation that combines two fractions to produce a new fraction. Unlike addition, denominators don't need to be the same when multiplying fractions.

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 product's numerator is the product of the numerators, and the product's denominator is the product of the denominators.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in mathematics, used in scaling recipes, calculating probabilities, determining areas, and solving many real-world problems.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions. Denominators cannot be zero. The calculator will show both the product and simplified form.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply more than two fractions?
A: Yes, multiply all numerators together for the new numerator, and all denominators together for the new denominator.

Q2: What if one denominator is 1?
A: A denominator of 1 means it's a whole number. The calculation works the same way.

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

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

Q5: Can I multiply a fraction by a whole number?
A: Yes, treat the whole number as a fraction with denominator 1 (e.g., 3 = 3/1).