A common denominator results from comparing two or more unlike denominators. It can be the same as one of the denominators, but doesn't have to be.
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They are essentially the same. A common denominator is the common multiple of a set of denominators of a set of fractions.
No.
First, find a common denominator for the two (or more) fractions. Then, for each fraction, multiply numerator and denominator by the same number (different numbers for different fractions, though), to convert to the common denominator.
Multiply the numerator of the fraction by the same amount that you multiply the denominator of that fraction.
If you are adding or subtracting unlike fractions, convert them to equivalent fractions with a common denominator.