Tool to find the period of a fraction or a decimal number with repeating decimals. The period is a set of digits that is repeated at infinity in the decimals of the number (usually a rational number or a periodic fraction).

Repeating Decimals - dCode

Tag(s) : Arithmetics

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

Sponsored ads

Tool to find the period of a fraction or a decimal number with repeating decimals. The period is a set of digits that is repeated at infinity in the decimals of the number (usually a rational number or a periodic fraction).

The periodic decimal development of a fraction is the sequence of numbers which is repeated at infinity in the decimal writing of the number.

Example: 1/3 = 0.3333333333 ... The digit 3 is repeated to infinity

Example: 1/27 = 0.037037037037037 ... The digits 037 are repeated to infinity

It is better to write the fraction in irreducible form.

Inverses of prime numbers provide interesting periodic decimal developments.

Multiple notations are possible.

The first uses ... points of suspension, but does not define the part that repeats. It is practical but not rigorous and therefore not recommended.

Example: \( 37/300 = 0.12333333333 ... \)

Notation with a bar above the repeated part.

Example: \( 37/300 = 0.12 \overline{3} \)

Notation with a bar below the repeated part.

Example: \( 37/300 = 0.12 \underline{3} \)

Notation between brackets

Example: \( 37/300 = 0.12 [3] \)

dCode retains ownership of the source code of the script Repeating Decimals online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Repeating Decimals script for offline use on PC, iPhone or Android, ask for price quote on contact page !

period,fraction,numerator,denominator,development,repeating,decimal,writing,digit,infinite,rational,dot

Source : https://www.dcode.fr/number-repeating-decimal

© 2019 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode

Feedback

▲