About this calculator
The Equivalent Fractions Calculator finds fractions with the same value or checks whether two fractions are equivalent. It is useful for simplifying, comparing, adding fractions, and understanding why 1/2, 2/4, and 3/6 represent the same amount.
equivalent fractions calculator method
Equivalent fractions are made by multiplying or dividing the numerator and denominator by the same non-zero number. Two fractions are equivalent when their cross products match.
- a/b = (a x k) / (b x k)
- a/b and c/d are equivalent if a x d = b x c
How to use the equivalent fractions calculator
- Choose find equivalents or check two fractions.
- Enter the starting fraction.
- For equivalents, choose how many to generate.
- Multiply numerator and denominator by the same number.
- For checking, cross multiply both fractions.
- Compare the cross products.
Worked examples
Generate equivalents
Input: 1/2
Calculation: Multiply by 2, 3, 4, and 5
Result: 2/4, 3/6, 4/8, 5/10
Check equivalent
Input: 3/4 and 9/12
Calculation: 3 x 12 = 36 and 4 x 9 = 36
Result: Equivalent
Scaling fractions
Multiplying both parts of a fraction by the same number changes the writing, not the value.
Cross multiplication
Cross multiplication is a quick way to test whether two fractions describe the same value.
Learning and homework note
This calculator is for learning, checking, and general educational use. It shows the method so students can compare each step with their own working, but it should not replace learning the underlying fraction rules.
- Check that every denominator is not zero.
- Negative fractions can be written in more than one equivalent form.
- Rounding may affect decimal or percentage displays.
Frequently asked questions
Does this show the working?
Yes. The fraction calculators are designed to show the main steps, not just the final answer.
Does it simplify answers?
Yes. Fraction answers are reduced to lowest terms where simplification is part of the method.
Can denominators be zero?
No. A denominator of zero is undefined in fraction arithmetic.
Can I use negative fractions?
Yes, but pay attention to signs. The calculator normalises signs so the denominator stays positive.
Why might my teacher write the answer differently?
Equivalent fractions and mixed numbers can represent the same value. Check whether the question asks for improper fraction, mixed number, decimal, or simplest form.
Related calculators
- Simplify Fractions Calculator
- Comparing Fractions Calculator
- LCD Calculator