Scale a fraction’s numerator and denominator by the same nonzero integer. The displayed equivalent fraction includes enough working to inspect signs and scale.
Equivalent forms help create common denominators, resize ratios, and compare work written with different fractional units.
Multiplying numerator and denominator by the same nonzero value multiplies the fraction by one, so its location on the number line does not change.
On this page, the displayed equivalent fraction follows this definition rather than any similarly named measure.
Multiplying 3/5 by 4/4 gives 12/20. Both evaluate to 0.6.
A zero scale factor would create denominator zero and is not allowed. Negative scaling produces an equivalent fraction but is normalized to a positive denominator. If the Equivalent Fractions assumptions do not fit, consider lowest terms.
If the Equivalent Fractions result surprises you, return to the example and change denominator by itself.
Multiply both fraction terms by the chosen factor and verify by cross multiplication or decimal division. Equivalent Fractions also connects naturally with common denominators.
Write each source value under its matching label before calculating: numerator, denominator and scale factor. This preserves the assumptions behind equivalent fraction and makes a later check possible without reopening the original problem.
Changing only one term changes the fraction; changing both by the same factor preserves it. This relationship remains useful even when the final equivalent fraction is rounded.
Equivalent-fraction scaling expands or contracts terms, while simplification specifically chooses their lowest terms. The two results may share inputs while retaining different meanings.
Before publishing or sharing equivalent fraction, decide on units, significant digits, and whether an exact form is expected. Those choices belong to interpretation rather than the calculator engine.
When reporting the answer, state the equivalent fraction first, then its value and unit. Add numerator, denominator and scale factor if someone else must verify the work independently.
Two fractions a/b and c/d are equivalent when ad equals bc, assuming nonzero denominators. This cross-product test checks an expanded fraction without converting either value to a rounded decimal.
This page uses integers so the new terms remain integers.
Yes.
Yes; every nonzero integer factor creates another form.
It would make the new denominator zero.