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Showing content from https://cplusplus.com/reference/ratio/ratio_less/ below:

class template

<ratio>

std::ratio_less 
template <class R1, class R2> ratio_less;

Compare ratios for less-than inequality

This type inherits from the appropriate integral_constant type (either true_type or false_type) to signal whether R1 compares less than R2
The resulting type is the same as if ratio_less was defined as: 
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template <class R1, class R2>
struct ratio_less : integral_constant < bool, R1::num*R2::den < R2::num*R1::den > {};

A program shall not cause any expression in the above definition to expand to values not representable as an

intmax_t

.

Template parameters
R1,R2
ratio types to be compared.


Member constants Inherited from integral_constant:
member constant definition value either true or false
Member types Inherited from integral_constant:

Example 
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// ratio_less example
#include <iostream>
#include <ratio>

int main ()
{
  typedef std::ratio<1,3> one_third;
  typedef std::ratio<1,2> one_half;

  std::cout << "1/3 < 1/2 ? " << std::boolalpha;
  std::cout << std::ratio_less<one_third,one_half>::value << std::endl;

  return 0;
}

Output:


See also
ratio_greater
Compare ratios for greater than inequality (class template)
ratio_less_equal
Compare ratios for equality or less-than inequality (class template)
ratio_equal
Compare ratios (class template)

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