Equivalent Fraction Calculator
Find fractions equivalent to a given fraction by multiplying numerator and denominator by the same integer. Also simplifies fractions to lowest terms.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator finds an equivalent fraction by multiplying both the numerator and denominator by a chosen integer (k). Follow these steps:
- Enter the numerator (top number) in the Numerator field. Use a whole number (e.g., 2).
- Enter the denominator (bottom number) in the Denominator field. Must be a positive whole number (e.g., 4).
- Set the multiplier (k) in the Multiplier field. This must be 1 or greater (default is 2).
- Click “Calculate Equivalent” or press Enter. The result shows:
- Equivalent Fraction: The new fraction (e.g., 4/8).
- Simplified Form: The original fraction reduced to lowest terms (e.g., 1/2).
- Formula: The multiplication used (e.g., 2/4 × 2/2 = 4/8).
All inputs must be integers. The denominator cannot be zero, and the multiplier cannot be less than 1.
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Frequently Asked Questions
Equivalent fractions are fractions that represent the same value, even though they have different numerators and denominators. For example, 1/2 and 2/4 are equivalent.
Multiply the numerator and denominator of the original fraction by the same non-zero integer. The result is an equivalent fraction.
No, the multiplier must be a positive integer (1 or greater). Multiplying by zero would result in 0/0, which is undefined.
