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You should not have any remainders in fractions!
it helps you find the distance between fractions because the new name should be an equivalent fraction. Therefore it should be able to be divided\multiplied by 2 to make the original number.
LCM is applied to whole numbers, not fractions.
The names of inverse operations depend on the operations, not on whether they are applied to fractions or other kinds of numbers.
It really doesn't matter whichever one you are more comfortable with. fractions are a bit more challenging to convert.