Simplest Calculator
Simplify Fractions Calculator works out Simplest form and Simplified numerator from Numerator (top number), Denominator (bottom number) and Whole number part (optional). The default figures on this page give simplest form of 3/4; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
4 steps
- Greatest common factor of 45 and 60 is 15.
- Divide both parts by 15: 45 / 15 = 3 and 60 / 15 = 4.
- Simplest form: 3/4
- Decimal value: 3/4 = 0.75
Equivalent fractionstable
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
What the Simplify Fractions Calculator calculates
Reduces a fraction or mixed number to lowest terms by dividing numerator and denominator by their greatest common factor, and shows the mixed, decimal and percent forms.
How to use this Simplify Fractions Calculator
Enter Numerator (top number), Denominator (bottom number), Whole number part (optional) and Equivalent fractions to list. Simplest form updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Simplest form, Simplified numerator and Simplified denominator.
The method follows Euclid, Elements, Book VII, Propositions 1-2 (the Euclidean algorithm for greatest common measure), NIST Digital Library of Mathematical Functions, §27.1 (divisibility and the fundamental theorem of arithmetic) and Common Core State Standards for Mathematics, 4.NF.A.1 (equivalent fractions).
45/60 reduces to 3/4 example
With Numerator (top number): 45, Denominator (bottom number): 60, the calculator returns Simplest form: 3/4, Simplified numerator: 3, Simplified denominator: 4. This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Simplest form, Simplified numerator and Simplified denominator. The inputs you can vary are Numerator (top number), Denominator (bottom number), Whole number part (optional), Equivalent fractions to list and Decimal places.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
How can I simplify on a calculator?
Reduces a fraction or mixed number to lowest terms by dividing numerator and denominator by their greatest common factor, and shows the mixed, decimal and percent forms. Open “How this is worked out” beside the result to see each step for your own figures.
Can you provide me with a simplest form calculator?
Reduces a fraction or mixed number to lowest terms by dividing numerator and denominator by their greatest common factor, and shows the mixed, decimal and percent forms. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give 3/4.
Can you provide a math simplify calculator?
It needs Numerator (top number), Denominator (bottom number), Whole number part (optional), Equivalent fractions to list and Decimal places. Nothing else is required, and the figures stay in your browser.
What information do I need for the Simplify Fractions Calculator?
You need Numerator (top number), Denominator (bottom number), Whole number part (optional), Equivalent fractions to list and Decimal places. The page opens with default figures that give simplest form of 3/4, so you can see the scale before entering your own.
What does this Simplify Fractions Calculator show?
It shows Simplest form, Simplified numerator, Simplified denominator, GCF divided out, As a mixed number, As an improper fraction, As a decimal and Exact decimal expansion, with the working and any warnings for your entries.
Can I check how the Simplify Fractions Calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.