Continued Fraction Calculator

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Continued Fraction Calculator

First terms of the continued fraction of a number.

🧮 Free Online Tool
⚡ Instant Results
📊 Clear Breakdown
🔒 100% Free Tool

Work It Out And Get Clear Answers

First terms of the continued fraction of a number.

Continued Fraction Estimator

Enter your numbers below for an instant estimate.

Inputs
Enter your value
0
x = a0 + 1 ÷ (a1 + 1 ÷ (a2 + …)).
💡 Tip: x = a0 + 1 ÷ (a1 + 1 ÷ (a2 + …)).
1

Enter Values

Fill in each field with your own numbers.

2

Calculate

Press Calculate to see the result.

3

Review

Read the breakdown and the explanation.

4

Adjust

Change values to compare scenarios.

Continued Fraction Quick Guide

Typical values for reference.

NumberFirst term a0
i 3.143
i 1.571
i 6.286
📊 Rule of thumb: check your inputs, use the result as a guide and round sensibly.

Continued Fraction FAQ

Answers to common questions about this calculator.

x = a0 + 1 ÷ (a1 + 1 ÷ (a2 + …)).

It uses the default inputs shown and the formula described above. Change any value and press Calculate to see how the result moves.

It is an estimate based on the inputs you enter. Check real quotes, labels, product data or official guidance for important decisions.

Yes. Replace each input with your own figures and press Calculate to update the result.

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