0.5 (5 cycles) How to change the number of components-please answer in detail!

0.5 (5 cycles) indicates that the decimal is a pure cycle decimal. When the number of components is converted, the cyclic segment (number "5") is used as a molecule, and there is only one cyclic segment here. The denominator is determined according to the number of digits in the molecular periodic section, which is consistent with the number of digits in the numerator, so the denominator is "9". The specific process is: 0.5555=5/9.

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Conversion between decimals and fractions

Finite decimal: reduce to a few tenths (a few percent).

Pure cycle decimal: the cycle segment is a numerator, and if there is a cycle segment, the denominator is 9; The loop segment has two digits, and the denominator is 99; The loop has three digits, the denominator is 999, and so on. For example: 0.9999 = 9/9 = 1, 0.2525 = 25/99, 0.333 = 3/9 = 1/3, which can be divided into bids.

Mixed cyclic decimal: reduce by the sum of finite decimal and pure cyclic decimal, such as 0.133333 = 0.1.3333 = 2/15.

Infinitely cyclic decimals are irrational numbers and cannot be converted into fractions.