The smaller fraction has the smaller numerator.
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Find the equivalent fractions with the same denominator (the least common multiple) and then compare the numerators.
I am not entirely sure what you mean, but if you need to add, subtract, or compare two fractions, they need to have the same denominator.
Because when you compare fractions with the same denominators, you do not have to find the least common denominator (LCM or LCD).
Convert them all into equivalent fractions with the same denominator. Then compare the numerators. Or, convert them all into decimals.
If you are adding or subtracting unlike fractions, convert them to equivalent fractions with a common denominator.