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Continuous fraction online calculator


Input formats such as::58/24

APP description

The continuous fraction is a special multiplication score. If a0, a1, a2, ... an, ... are integers, they will be called infinite joint scores and finite joint scores, respectively, and simple fractional calculator fractions are obtained by infinite expressions of integers. Can be abbreviated as a0, a1, a2, ..., an, ... and a0, a1, a2, ..., an. Generally, a finite joint score represents a rational number, and an infinite joint score represents an irrational number. If a0, a1, a2, ..., an, ... are real numbers, the above-mentioned form-join scores may be called an infinite continuous score and a finite continuous score respectively. In the calculation of modern mathematics, a0, a1, a2, ..., an, ... in the continuous score can also be taken as a polynomial with x as the argument. In modern computational mathematics, it is often associated with some differential equation difference equations, and is associated with the application of function constructs related to some recursive relations.

Even the fractional representation avoids these two problems of real numbers. Let us consider how to describe a number such as 415/93, which is about 4.4624. Approx 4, but actual A little more than 4, about 4 + 1/2. But the 2 in the denominator is inaccurate; the more accurate denominator is a little more than 2, about 2 + 1/6, so 415/93 is approximately 4 + 1/(2 + 1/6). But the 6 in the denominator is not accurate; the more accurate denominator is a little more than 6 and is actually 6+1/7. and so 415/93 is actually 4+1/(2+1/(6+1/7)). This is accurate.

Removing the redundant part of expression 4 + 1 /(2 + 1 /(6 + 1 / 7)) gives a brief notation [4; 2, 6, 7].

Usage example

Enter a simple score: 52/44

Input format, example: 58/24

Click "Calculate" to output the result

Generalized continuous scores: 1; 5, 2

 

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