Divide integer by ratio:
abjad> from abjad.tools import mathtools
abjad> mathtools.divide_number_by_ratio(1, [1, 1, 3])
[Fraction(1, 5), Fraction(1, 5), Fraction(3, 5)]
Divide fraction by ratio:
abjad> mathtools.divide_number_by_ratio(Fraction(1), [1, 1, 3])
[Fraction(1, 5), Fraction(1, 5), Fraction(3, 5)]
Divide float by ratio:
abjad> mathtools.divide_number_by_ratio(1.0, [1, 1, 3]) # doctest: +SKIP
[0.20000000000000001, 0.20000000000000001, 0.60000000000000009]
Raise type error on nonnumeric number.
Raise type error on noninteger in ratio.
Return list of fractions or list of floats.
Changed in version 2.0: renamed mathtools.divide_number_by_ratio() to mathtools.divide_number_by_ratio().