3 Fraction Calculator With Answers

Fraction Multiplication Formula:

\[ Product = \frac{num1}{den1} \times \frac{num2}{den2} \times \frac{num3}{den3} = \frac{num1 \times num2 \times num3}{den1 \times den2 \times den3} \]

Numerator 1:

Denominator 1:

Numerator 2:

Denominator 2:

Numerator 3:

Denominator 3:

Product Result:

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1. What Is The 3 Fraction Calculator?

The 3 Fraction Calculator multiplies three fractions together and provides the result in both fraction and decimal form. It automatically simplifies the resulting fraction to its lowest terms.

2. How Does The Calculator Work?

The calculator uses the fraction multiplication formula:

\[ Product = \frac{num1}{den1} \times \frac{num2}{den2} \times \frac{num3}{den3} = \frac{num1 \times num2 \times num3}{den1 \times den2 \times den3} \]

Where:

\( num1, num2, num3 \) — Numerators of the three fractions
\( den1, den2, den3 \) — Denominators of the three fractions

Explanation: The calculator multiplies all numerators together and all denominators together, then simplifies the resulting fraction using the greatest common divisor.

3. Importance Of Fraction Multiplication

Details: Fraction multiplication is essential in mathematics, engineering, science, and everyday calculations involving proportions, ratios, and scaling operations.

4. Using The Calculator

Tips: Enter whole numbers for numerators and denominators. Denominators must be positive integers greater than zero. The calculator will handle the multiplication and simplification automatically.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero as a denominator?
A: The calculator requires denominators to be at least 1. Division by zero is mathematically undefined.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator, then divides both by this value to simplify the fraction.

Q3: Can I use negative numbers?
A: The calculator is designed for positive numbers only. Negative values may produce unexpected results.

Q4: What's the maximum number size it can handle?
A: The calculator can handle typical integer values, but very large numbers may cause calculation limitations in PHP.

Q5: Why show both fraction and decimal results?
A: Fraction form shows the exact mathematical result, while decimal form provides a more familiar representation for many users.