Multiplying 3 Fractions Calculator

BySteven

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.

Multiplying 3 Fractions Calculator

Enter the numerators and denominators of all three fractions to calculate the result

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:

XY⋅WZ⋅AB=(X⋅W⋅A)GCD/(Y⋅Z⋅B)GCD\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}}

VariableDescription
X,W,AX, W, ANumerators of the fractions
Y,Z,BY, Z, BDenominators of the fractions
GCD\text{GCD}Greatest common divisor for simplification

Solved Calculations:

Example 1: Multiplying Simple Fractions

StepValueExplanation
Fractions23,45,37\frac{2}{3}, \frac{4}{5}, \frac{3}{7}Original fractions
Multiply Numerators2⋅4⋅3=242 \cdot 4 \cdot 3 = 24
Multiply all numerators
Multiply Denominators3⋅5⋅7=1053 \cdot 5 \cdot 7 = 105
Multiply all denominators
Simplify24105=835\frac{24}{105} = \frac{8}{35}Divide by GCD (3)

 

Example 2: Multiplying Mixed Numbers

StepValueExplanation
Mixed Numbers112,213,3141\frac{1}{2}, 2\frac{1}{3}, 3\frac{1}{4}Original mixed numbers
Convert to Improper Fractions32,73,134\frac{3}{2}, \frac{7}{3}, \frac{13}{4}Convert mixed numbers to fractions
Multiply Numerators3⋅7⋅13=2733 \cdot 7 \cdot 13 = 273
Multiply all numerators
Multiply Denominators2⋅3⋅4=242 \cdot 3 \cdot 4 = 24
Multiply all denominators
Simplify27324=11924\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 23×45×67\frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} involves multiplying 2×4×62 \times 4 \times 6 for the numerator and 3×5×73 \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.

Steven

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