1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. The result is then simplified to its lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD).

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 shows each step of the multiplication process and simplifies the final result.

3. Step-by-Step Calculation

Details: The calculator performs these steps:

1. Multiply the numerators (a × c)
2. Multiply the denominators (b × d)
3. Form the new fraction (product of numerators over product of denominators)
4. Simplify the fraction by finding the GCD of numerator and denominator

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators must be positive integers. The calculator will show each step of the calculation and the simplified result.

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 negative?
A: The negative sign can be placed before the fraction or with the numerator. Two negatives make a positive.

Q3: How do you simplify fractions?
A: Find the greatest common divisor (GCD) of numerator and denominator, then divide both by the GCD.

Q4: What if I get an improper fraction?
A: Improper fractions (where numerator ≥ denominator) are valid results. You may convert to mixed numbers if desired.

Q5: Can I multiply whole numbers with fractions?
A: Yes, treat whole numbers as fractions with denominator 1 (e.g., 3 = 3/1).