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

3. Importance of Fraction Multiplication

Details: Multiplying fractions is fundamental in mathematics and has applications in various fields including engineering, physics, cooking, and financial calculations.

4. Using the Calculator

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

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.

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

Q3: 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.

Q4: Can I use negative numbers?
A: Yes, negative fractions can be multiplied following the same rules.

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