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{{cpp/header/title|ratio|notes={{mark c++11}}}}
{{cpp/header/navbar}}
This header is part of the [[cpp/numeric/ratio|compile-time rational arithmetic]] library.

{{dsc begin}}
{{dsc h1|Classes}}
{{dsc inc|cpp/numeric/ratio/dsc ratio}}

{{dsc h2|Arithmetic}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_add}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_subtract}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_multiply}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_divide}}

{{dsc h2|Comparison}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_equal}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_not_equal}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_less}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_less_equal}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_greater}}
{{dsc inc|cpp/numeric/ratio/dsc ratio_greater_equal}}

{{dsc break}}
{{dsc h2|Type Aliases}}
{{dsc|{{tt|quecto}} {{mark c++26}}|{{c/core|std::ratio<1, 1000000000000000000000000000000>}}, if {{lc|std::intmax_t}} can represent the denominator}}
{{dsc|{{tt|ronto}} {{mark c++26}}|{{c/core|std::ratio<1, 1000000000000000000000000000>}}, if {{lc|std::intmax_t}} can represent the denominator}}
{{dsc|{{tt|yocto}}|{{c/core|std::ratio<1, 1000000000000000000000000>}}, if {{lc|std::intmax_t}} can represent the denominator}}
{{dsc|{{tt|zepto}}|{{c/core|std::ratio<1, 1000000000000000000000>}}, if {{lc|std::intmax_t}} can represent the denominator}}
{{dsc|{{tt|atto}}|{{c/core|std::ratio<1, 1000000000000000000>}}}}
{{dsc|{{tt|femto}}|{{c/core|std::ratio<1, 1000000000000000>}}}}
{{dsc|{{tt|pico}}|{{c/core|std::ratio<1, 1000000000000>}}}}
{{dsc|{{tt|nano}}|{{c/core|std::ratio<1, 1000000000>}}}}
{{dsc|{{tt|micro}}|{{c/core|std::ratio<1, 1000000>}}}}
{{dsc|{{tt|milli}}|{{c/core|std::ratio<1, 1000>}}}}
{{dsc|{{tt|centi}}|{{c/core|std::ratio<1, 100>}}}}
{{dsc|{{tt|deci}}|{{c/core|std::ratio<1, 10>}}}}
{{dsc|{{tt|deca}}|{{c/core|std::ratio<10, 1>}}}}
{{dsc|{{tt|hecto}}|{{c/core|std::ratio<100, 1>}}}}
{{dsc|{{tt|kilo}}|{{c/core|std::ratio<1000, 1>}}}}
{{dsc|{{tt|mega}}|{{c/core|std::ratio<1000000, 1>}}}}
{{dsc|{{tt|giga}}|{{c/core|std::ratio<1000000000, 1>}}}}
{{dsc|{{tt|tera}}|{{c/core|std::ratio<1000000000000, 1>}}}}
{{dsc|{{tt|peta}}|{{c/core|std::ratio<1000000000000000, 1>}}}}
{{dsc|{{tt|exa}}|{{c/core|std::ratio<1000000000000000000, 1>}}}}
{{dsc|{{tt|zetta}}|{{c/core|std::ratio<1000000000000000000000, 1>}}, if {{lc|std::intmax_t}} can represent the numerator}}
{{dsc|{{tt|yotta}}|{{c/core|std::ratio<1000000000000000000000000, 1>}}, if {{lc|std::intmax_t}} can represent the numerator}}
{{dsc|{{tt|ronna}} {{mark c++26}}|{{c/core|std::ratio<1000000000000000000000000000, 1>}}, if {{lc|std::intmax_t}} can represent the numerator}}
{{dsc|{{tt|quetta}} {{mark c++26}}|{{c/core|std::ratio<1000000000000000000000000000000, 1>}}, if {{lc|std::intmax_t}} can represent the numerator}}
{{dsc end}}

===Synopsis===
{{cpp/synopsis/ratio}}

{{langlinks|es|ja|zh}}

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