Multiplying 3 Fractions Calculator

To multiply three fractions, multiply their numerators together to get the new numerator and their denominators together to get the new denominator. Then, simplify the resulting fraction if possible.

The Multiplying 3 Fractions Calculator is a helpful tool for multiplying three fractions or mixed numbers quickly and accurately. Multiplying fractions is a key concept in mathematics, often used in algebra, geometry, and real-life problem-solving scenarios.

This calculator simplifies the process by providing step-by-step solutions, handling fractions with different denominators, and converting mixed fractions if needed.

Formula:

$\frac{X}{Y} \cdot \frac{W}{Z} \cdot \frac{A}{B} = \frac{(X \cdot W \cdot A)}{\text{GCD}} / \frac{(Y \cdot Z \cdot B)}{\text{GCD}}$

Variable	Description
$X, W, A$	Numerators of the fractions
$Y, Z, B$	Denominators of the fractions
$\text{GCD}$	Greatest common divisor for simplification

Solved Calculations:

Example 1: Multiplying Simple Fractions

Step	Value	Explanation
Fractions	$\frac{2}{3}, \frac{4}{5}, \frac{3}{7}$	Original fractions
Multiply Numerators	$2 \cdot 4 \cdot 3 = 24$	Multiply all numerators
Multiply Denominators	$3 \cdot 5 \cdot 7 = 105$	Multiply all denominators
Simplify	$\frac{24}{105} = \frac{8}{35}$	Divide by GCD (3)

Example 2: Multiplying Mixed Numbers

Step	Value	Explanation
Mixed Numbers	$1\frac{1}{2}, 2\frac{1}{3}, 3\frac{1}{4}$	Original mixed numbers
Convert to Improper Fractions	$\frac{3}{2}, \frac{7}{3}, \frac{13}{4}$	Convert mixed numbers to fractions
Multiply Numerators	$3 \cdot 7 \cdot 13 = 273$	Multiply all numerators
Multiply Denominators	$2 \cdot 3 \cdot 4 = 24$	Multiply all denominators
Simplify	$\frac{273}{24} = 11\frac{9}{24}$	Simplify the fraction

What is the Multiplying 3 Fractions Calculator?

The Multiplying 3 Fractions Calculator is a user-friendly tool that is basically designed to simplify the multiplication of three fractions. Whether the fractions are simple, mixed, or involve whole numbers, this calculator quickly computes the result.

It is particularly helpful for students learning fraction operations or anyone dealing with fractions in daily tasks.

To use the calculator, input the three fractions in their respective fields. The tool multiplies the numerators and denominators separately, simplifying the final fraction if possible.

For example, multiplying $\frac{2}{3} \times \frac{4}{5} \times \frac{6}{7}$ involves multiplying $2 \times 4 \times 6$ for the numerator and $3 \times 5 \times 7$ for the denominator.

The calculator also supports operations with mixed fractions and converts them to improper fractions automatically for calculation.

Final Words:

In short, the Multiplying 3 Fractions Calculator is a convenient and efficient way to handle complex fraction multiplication. It saves time and reduces errors, making it a must-have tool for students, teachers, and professionals alike.

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