About this calculator
The Simplify Fractions Calculator reduces a fraction to lowest terms using the greatest common factor. It is useful when a calculation gives an answer such as 12/18 and you need the simplest equivalent fraction, 2/3.
simplify fractions calculator method
To simplify a fraction, divide the numerator and denominator by their greatest common factor. If the GCF is 1, the fraction is already in simplest form.
- GCF = greatest common factor of numerator and denominator
- simplified numerator = numerator / GCF
- simplified denominator = denominator / GCF
How to use the simplify fractions calculator
- Enter the numerator.
- Enter the denominator.
- Review the factor lists for both numbers.
- Find the greatest common factor.
- Divide the numerator and denominator by the GCF.
- Check the simplified fraction.
Worked examples
Reduce 12/18
Input: 12/18
Calculation: GCF of 12 and 18 is 6; 12 ÷ 6 = 2 and 18 ÷ 6 = 3
Result: 2/3
Already simplest
Input: 5/8
Calculation: GCF of 5 and 8 is 1
Result: 5/8 is already simplified
Lowest terms
A fraction is in lowest terms when the numerator and denominator have no common factor other than 1.
Equivalent fractions
Simplifying does not change the value of the fraction. It only changes how the same value is written.
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.
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