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Q: Why do you need to use common denominator?

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yes you should use a common denominator when subtracting with fractions, it makes it much easier.

No, You only need a common denominator when adding or subtracting fractions.

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 DO need a common denominator to add, subtract, or compare fractions. You DO NOT need a common denominator to multiply or divide fractions.

You don't need a common denominator to divide fractions.

You don't need a common denominator to divide fractions.

No.

You need at least two numbers to find a common denominator.

Assuming the fractions are "normalized" (the fractional part is less than 1): First compare the integer part. If the integer part is the same, you need to compare the fractions. If the denominator of the fractions is different, you have to convert to a common denominator. The simplest way to find a common denominator is to multiply both denominators (i.e., you don't need the LEAST common denominator - any common denominator will do).

You need at least two numbers to find something in common. 90 can be a common denominator of other numbers, but it can't have a common denominator all by itself.

You need at least two fractions to find a common denominator.

You need at least two fractions to calculate a common denominator.

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