Multiplying Fractions Calculator

Multiplying Fractions Formula

To multiply two fractions, use the formula:

\[ \frac{X}{Y} \times \frac{A}{B} = \frac{X \times A}{GCD} \div \frac{Y \times B}{GCD} \]

Where:

• \(X/Y\) is the first fraction
• \(A/B\) is the second fraction
• \(X \times A / Y \times B\) is the resulting fraction before simplification
• \(GCD\) is the greatest common divisor of the numerator and denominator.

Example Calculation

To multiply the fractions \(4/5\) and \(2/3\):

1. Multiply the numerators: \(4 \times 2 = 8\).
2. Multiply the denominators: \(5 \times 3 = 15\).
3. The result is \(8/15\), which is already simplified since the GCD is 1.

Additional Information

This method works for multiplying any number of fractions. Multiply all numerators together and all denominators together, then simplify by dividing by the GCD of the numerator and denominator.