Generate equivalent fractions by multiplying the numerator and denominator by the same number. See the simplified form and a short list of equal fractions.
For 2/3, multiply the top and bottom by 4: 2 × 4 = 8 and 3 × 4 = 12. So 2/3 = 8/12.
Both fractions have the same value.
- Start with 2/3.
- Multiply numerator and denominator by 4.
- 2 × 4 = 8 and 3 × 4 = 12.
- Equivalent fraction: 8/12.
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How to Use the Equivalent Fractions Calculator
Enter a fraction and a whole-number multiplier. The calculator multiplies the numerator and denominator by the same number and lists several equivalent fractions.
- Enter the starting fraction.
- Choose a nonzero multiplier.
- Review the scaled fraction and simplified form.
Equivalent Fraction Rule
Fractions are equivalent when they represent the same value. Multiplying or dividing the numerator and denominator by the same nonzero number keeps the value unchanged.
Equivalent Fractions Examples
2/3
2/3, 4/6, 6/9, and 8/12 are equivalent.
3/5
3/5 multiplied by 6 gives 18/30.
6/8
6/8 simplifies to 3/4. Scaling 6/8 by 2 gives 12/16, which also simplifies to 3/4.
Equivalent Fractions and Simplifying
Generating equivalent fractions usually multiplies both parts. Simplifying does the reverse by dividing both parts by a common factor. Both operations preserve the fraction’s value.
Common Equivalent Fraction Mistakes
Multiplying only the numerator
To keep the same value, multiply both numerator and denominator by the same number.
Using zero as a multiplier
Zero cannot be used because it would create a denominator of zero.
Thinking bigger numbers mean a bigger fraction
8/12 looks larger than 2/3, but they represent the same value.
Equivalent Fractions FAQs
What are equivalent fractions?
Equivalent fractions are different fraction forms that name the same value.
How do I find equivalent fractions?
Multiply or divide the numerator and denominator by the same nonzero number.
Can negative fractions have equivalents?
Yes. The sign is preserved while the numerator and denominator are scaled.
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Reviewer
This educational math content is reviewed under the SolverCalc reviewer rule by Prof. Dr. Khalil Mudassar. WordPress adds the author bio automatically, so this page does not include a duplicate author box.
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This calculator is intended for general educational and practical use. Check exact fraction notation before using results in graded work.