Enter a numerator and denominator (and optionally a whole number for mixed numbers) to find equivalent fractions. The Equivalent Fractions Calculator multiplies your fraction by 2/2 through 10/10 and displays a list of equivalent fractions — plus a simplified form. You can also check if two fractions are equal by entering both and comparing results.
Simplified Form
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Decimal Value
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Simplified Numerator
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Simplified Denominator
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Equivalent fractions are fractions that represent the same value or proportion, even though they have different numerators and denominators. For example, 1/2, 2/4, 3/6, and 50/100 all represent the same amount — half of a whole.
To find an equivalent fraction, multiply (or divide) both the numerator and denominator by the same non-zero whole number. For example, multiplying 3/4 by 2/2 gives 6/8, which is equivalent to 3/4. The key is that you always apply the same operation to both top and bottom.
Cross-multiply the two fractions and compare the products. If a/b and c/d are equivalent, then a × d = b × c. Alternatively, simplify both fractions to their lowest terms — if they reduce to the same fraction, they are equivalent.
The terms are often used interchangeably. Two fractions are 'equal' when they represent exactly the same value, and 'equivalent' when they look different but still represent the same part of a whole. In practice, all equivalent fractions are equal in value.
Yes. Enter the whole number part in the 'Whole Number' field and the fractional part in the Numerator and Denominator fields. For example, to work with 1 3/4, enter 1 in the whole number field, 3 as the numerator, and 4 as the denominator.
Simplifying (or reducing) a fraction means dividing both the numerator and denominator by their greatest common divisor (GCD) until no common factor greater than 1 remains. For example, 6/8 simplifies to 3/4 because both 6 and 8 are divisible by 2.
Yes. Because you can multiply both the numerator and denominator by any non-zero whole number, there are infinitely many fractions equivalent to any given fraction. This calculator shows a practical subset starting from a multiplier you choose.
When you divide the numerator by the denominator of any equivalent fraction, you always get the same quotient because equivalent fractions represent identical proportions. For example, 3/4 = 0.75, 6/8 = 0.75, and 9/12 = 0.75.