Mathlean · Online math workspace

Continued fraction calculator

Convert a rational number to its simple continued-fraction coefficients.

How to use this calculator

Replace 415/93. The list [4,2,6,7] reconstructs the original rational.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

ContinuedFraction⁡(41593)\operatorname{ContinuedFraction}\left(\frac{415}{93}\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Finite rational expansions can have equivalent terminal conventions. An irrational expansion needs a truncation policy.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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