1. What Is This Calculator?

This calculator computes the result of multiplying and dividing three fractions in the format (abc/def) × (ghi/jkl) ÷ (mno/pqr). It handles 3-digit (or more) fractional calculations with precision.

2. How The Calculation Works

The calculator uses the following mathematical operation:

Where:

• abc — First fraction numerator (unitless)
• def — First fraction denominator (unitless)
• ghi — Second fraction numerator (unitless)
• jkl — Second fraction denominator (unitless)
• mno — Third fraction numerator (unitless)
• pqr — Third fraction denominator (unitless)

Explanation: The calculation first divides each fraction's numerator by its denominator, then multiplies the first two results and divides by the third result.

3. Practical Applications

Details: This type of calculation is useful in various mathematical, engineering, and scientific contexts where multiple ratios need to be combined through multiplication and division.

4. Using The Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator handles both whole numbers and decimals.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a division by zero error?
A: Ensure none of the denominators (def, jkl, pqr) are zero, as division by zero is mathematically undefined.

Q2: How precise are the calculations?
A: The calculator uses floating-point arithmetic with 6 decimal places of precision.

Q3: Can I use negative numbers?
A: The calculator only accepts positive numbers as input to avoid complex number results.

Q4: What's the maximum number of digits I can enter?
A: While there's no strict limit, extremely large numbers may lead to precision limitations in floating-point arithmetic.

Q5: Can this handle mixed numbers?
A: Convert mixed numbers to improper fractions before entering them (e.g., 1¾ becomes 1.75).