Multiplication Of 3 Fractions

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 (Fraction):

Simplified Fraction:

Decimal Result:

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1. What is Multiplication of Three Fractions?

Multiplication of three fractions follows the same principle as multiplying two fractions. The product is obtained by multiplying all numerators together and all denominators together, then simplifying the resulting fraction if possible.

2. How Does the Calculator Work?

The calculator uses the 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 first multiplies all numerators together and all denominators together, then simplifies the resulting fraction by dividing both numerator and denominator by their greatest common divisor.

3. Importance of Fraction Multiplication

Details: Multiplying fractions is a fundamental mathematical operation used in various fields including physics, engineering, probability, and everyday calculations like cooking or construction.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will show the product fraction, simplified form, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

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

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

Q3: Can I enter negative numbers?
A: Yes, the calculator handles negative values. A negative numerator makes the whole fraction negative.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions before entering them (e.g., 2½ becomes 5/2).

Q5: How precise are the results?
A: The calculator shows exact fractional results and decimal approximations rounded to 4 decimal places.