Quick guide
How to use this calculator
- Enter values using the notation shown beside each field.
- Choose a calculation mode when the tool offers more than one interpretation.
- Read the primary answer first, then inspect the supporting details.
Calculation method
Apply the stated definition
x = a₀ + 1/(a₁ + 1/(…)).
The calculator validates the mathematical domain before returning a result and does not replace undefined states with zero.
Worked example
Worked example
415/93 = [4; 2, 6, 7].
x = a₀ + 1/(a₁ + 1/(…)).
Supported inputs
Precision and limits
Finite, bounded input
Integers, finite decimals, fractions, and mixed numbers are evaluated with exact rational arithmetic wherever the operation permits.
Notation
Enter fractions as a/b and mixed numbers as w n/d. A denominator can never be zero.