No, You only need a common denominator when adding or subtracting fractions.
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Addition and subtraction are the only fraction operations that need a common denominator. Multiplication, division, and exponents do not need a common denominator. In fact, it is best to use reduced fractions otherwise it gets very messy.
You don't need a common denominator to divide fractions.
You don't need a common denominator to divide fractions.
Because it is not how multiplication or division are defined.
No only when adding or subtracting fractions a common denominator is needed