3 Number Fraction Calculator

Fraction Multiplication Formula:

\[ \frac{a}{b} \times \frac{c}{d} \times \frac{e}{f} = \frac{a \times c \times e}{b \times d \times f} \]

Numerator 1 (a):

Denominator 1 (b):

Numerator 2 (c):

Denominator 2 (d):

Numerator 3 (e):

Denominator 3 (f):

Result (Decimal):

Result (Fraction):

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1. What is the 3 Number Fraction Calculator?

The 3 Number Fraction Calculator multiplies three fractions together and provides the result in both decimal and simplified fraction form. It's useful for mathematical calculations involving multiple fractions.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

\[ \frac{a}{b} \times \frac{c}{d} \times \frac{e}{f} = \frac{a \times c \times e}{b \times d \times f} \]

Where:

\( a \) — First numerator
\( b \) — First denominator
\( c \) — Second numerator
\( d \) — Second denominator
\( e \) — Third numerator
\( f \) — Third denominator

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

3. Importance of Fraction Multiplication

Details: Multiplying fractions is a fundamental mathematical operation used in various fields including engineering, physics, and finance. Understanding how to multiply and simplify fractions is essential for accurate calculations.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will provide both decimal and simplified fraction results.

5. Frequently Asked Questions (FAQ)

Q1: What if one of my denominators is zero?
A: Division by zero is undefined. The calculator will not produce a result if any denominator is zero.

Q2: 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.

Q3: Can I enter negative numbers?
A: Yes, the calculator handles negative numbers. The result will be negative if there's an odd number of negative values.

Q4: What's the precision of the decimal result?
A: The decimal result is displayed with 4 decimal places for precision.

Q5: Can I use this for mixed numbers?
A: First convert mixed numbers to improper fractions (e.g., 1½ becomes 3/2) before entering them.