What are equivalent fractions?
Fractions that look different but represent the same value, such as 1/2 and 2/4.
Equivalent Fractions Calculator
Multiply the top and bottom of a fraction by the same factor to build an equivalent fraction.
Enter a fraction and scale
Provide a/b and a non-zero scale factor n to create an equivalent fraction.
About this calculator
How to use Equivalent Fractions Calculator, plus the formulas and logic behind the results.
Tool description
Equivalent fractions represent the same value. Scaling multiplies both parts by the same non-zero integer.
How to use
- Enter the original numerator and denominator.
- Enter the scale factor n (not zero).
- Select Calculate to see the equivalent fraction.
- Compare the simplified forms to confirm they match.
Formulas & reference
Equivalent = (a × n) / (b × n)a/b = (a×n)/(b×n) for n ≠ 0
Examples
- 2/3 × 4 → 8/12
- 1/2 × 5 → 5/10
- 3/5 × 2 → 6/10
- Simplified check confirms sameness
Calculation logic
Both parts are multiplied by n. The tool also shows the simplified original so you can verify equivalence.
A negative scale flips the sign of both parts; the value stays equivalent after simplification.
Equivalent Fractions Calculator FAQ
Common questions about this calculator and how to use the results.
How do you make an equivalent fraction?
Multiply (or divide) the numerator and denominator by the same non-zero number.
Can the scale factor be negative?
Yes. A negative scale changes signs but keeps the same rational value after simplifying.
Why can’t the scale be zero?
Multiplying by zero would make 0/0, which is undefined.
Does the calculator simplify the result?
It shows both the scaled fraction and the simplified original for comparison.
How is this useful?
Equivalent fractions help when finding common denominators or matching textbook forms.