Fraction Calculator
Fraction Calculator works out Result and As an improper fraction from First fraction, Operation and Second fraction. The default figures on this page give result of 5/6; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
3 steps
- Least common denominator of 2, 3 is 6.
- Rewrite: 1/2 = 3/6 1/3 = 2/6
- Result: 5/6 (already in lowest terms)
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
What the Fraction Calculator calculates
Adds, subtracts, multiplies, divides or exponentiates fractions and mixed numbers with exact rational arithmetic, showing the common denominator and the simplified result.
How to use this Fraction Calculator
Enter First fraction, Operation, Second fraction and Third fraction (optional). Result 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 Result, As an improper fraction and As a mixed number.
The method follows NIST Digital Library of Mathematical Functions, §1.2 (elementary algebra of rational numbers), Common Core State Standards for Mathematics, 5.NF and 6.NS.A.1 (operations with fractions) and Euclid, Elements, Book VII (greatest common measure, used to reduce results).
1/2 + 1/3 example
With First fraction: 1/2, Operation: add, Second fraction: 1/3, the calculator returns Result: 5/6, Result numerator: 5, Result denominator: 6. 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 Result, As an improper fraction and As a mixed number. The inputs you can vary are First fraction, Operation, Second fraction, Third fraction (optional), Fourth fraction (optional) and Exponent.
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 do you calculate a fraction?
Adds, subtracts, multiplies, divides or exponentiates fractions and mixed numbers with exact rational arithmetic, showing the common denominator and the simplified result. Open “How this is worked out” beside the result to see each step for your own figures.
How do you divide fractions?
It needs First fraction, Operation, Second fraction, Third fraction (optional), Fourth fraction (optional) and Exponent. Nothing else is required, and the figures stay in your browser.
What is a good calculator for fractions?
Adds, subtracts, multiplies, divides or exponentiates fractions and mixed numbers with exact rational arithmetic, showing the common denominator and the simplified result. On this page it is computed from First fraction, Operation and Second fraction and shown as Result, As an improper fraction and As a mixed number.
How to get fractions on a calculator?
The result gives Result, As an improper fraction, As a mixed number, Result numerator, Result denominator and As a decimal, each labelled with its unit so the figure can be read on its own.
What information do I need for the Fraction Calculator?
You need First fraction, Operation, Second fraction, Third fraction (optional), Fourth fraction (optional), Exponent and Decimal places. The page opens with default figures that give result of 5/6, so you can see the scale before entering your own.
What does this Fraction Calculator show?
It shows Result, As an improper fraction, As a mixed number, Result numerator, Result denominator, As a decimal, Exact decimal expansion and As a percent, with the working and any warnings for your entries.