Math

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Equivalent Fractions Calculator.

Scale a fraction by an integer factor while preserving its value.

On-device calculationNo signup
01

Set your values

Results update as you type.

originalNumerator: 2

originalNumerator

0.000000
originalDenominator: 3

originalDenominator

0.000000
equivalentNumerator: 8

equivalentNumerator

0.000000
equivalentDenominator: 12

equivalentDenominator

0.000000
decimal: 0.666667

decimal

0.000000

Results update automatically as you type.

Use Cases

Simplify math homework and practice

Quickly generate equivalent fractions to check your work or create practice problems. Enter any fraction and scale factor to see the result instantly.

Example: Check that 2/3 equals 4/6 by entering numerator 2, denominator 3, and scale factor 2.

Understand fraction scaling visually

Use the calculator to see how multiplying both parts of a fraction by the same number keeps the value the same, reinforcing the concept of proportionality.

Example: Enter 5/8 with a scale factor of 4 to get 20/32, showing the same proportion.

Frequently Asked Questions

How do I use the Equivalent Fractions Calculator?
Enter the numerator and denominator of your fraction, then enter a scale factor. The calculator multiplies both the numerator and denominator by that factor to produce an equivalent fraction. For example, 1/2 with a scale factor of 3 gives 3/6.
What is an equivalent fraction?
Equivalent fractions are different fractions that represent the same value. For instance, 1/2, 2/4, and 3/6 are all equivalent because they simplify to the same value. Multiplying the numerator and denominator by the same non-zero number creates an equivalent fraction.
Can I use a decimal or negative scale factor?
Yes, the calculator accepts any real number as a scale factor. A decimal scale factor like 0.5 will produce a fraction with smaller numbers, while a negative factor will produce a fraction with opposite signs. However, the scale factor must not be zero, as that would result in an undefined fraction.

Tips & Common Mistakes

Tips

  • Choose a scale factor that is a whole number to keep the equivalent fraction in simplest terms for easier comparison.
  • Use a scale factor of 1 to verify the original fraction is unchanged, which can help confirm your inputs.
  • If you want to reduce a fraction, you can use a scale factor that is a common divisor of the numerator and denominator, but remember the calculator only multiplies, so you may need to divide manually.
  • Double-check that your denominator is not zero, as a zero denominator makes the fraction undefined.

Common Mistakes to Avoid

  • Entering a scale factor of zero, which would make the numerator and denominator zero, resulting in an undefined fraction.
  • Forgetting that the scale factor applies to both the numerator and denominator, not just one of them.
  • Confusing the scale factor with a multiplier for the fraction's value; the scale factor does not change the value, only the representation.

Last updated: August 13, 2026