1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation where two fractions are multiplied by multiplying their numerators together and their denominators together. The result is a new fraction that represents the product of the original 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 calculator first multiplies the numerators and denominators separately, then simplifies the resulting fraction by finding the greatest common divisor (GCD).

3. Importance of Fraction Multiplication

Details: Multiplying fractions is fundamental in mathematics with applications 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 the raw product, simplified form, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

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

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

Q3: How is the simplified form calculated?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator, then divides both by this value.

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

Q5: What about negative fractions?
A: Negative signs can be placed on either numerator or denominator, but the calculator will standardize them to the numerator in the simplified form.