Fractions Multiplied By 3 Times

Fraction Multiplication Formula:

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

First Fraction Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Result (Fraction Form):

Simplified Fraction:

Decimal Value:

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1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation that combines two or more fractions to produce a new fraction. When multiplying fractions, you multiply the numerators together and the denominators together.

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

Explanation: The calculator multiplies all numerators together to get the final numerator, and all denominators together to get the final denominator. It then simplifies the resulting fraction to its lowest terms.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in mathematics and has applications in various fields including physics, engineering, and finance. It's essential for solving problems involving ratios, proportions, and scaling.

4. Using the Calculator

Tips: Enter all numerator and denominator values. Denominators cannot be zero. The calculator will show the product fraction, its 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 requires all denominators to be non-zero values.

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 number.

Q3: Can I use negative numbers?
A: Yes, the calculator handles negative values. A negative in either numerator or denominator makes the 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: Results are precise to 4 decimal places. The simplified fraction shows exact values.