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Q: Why do fractions need to have a common denominator?

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

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

No only when adding or subtracting fractions a common denominator is needed

Common Denominator means that the denominators in two (or more) fractions are common, or the same. The common denominator is important because before you can add or subtract fractions, the fractions need to have a common denominator.Sometimes fractions have different denominators, like 2/3 and 3/4. If you want to add or subtract them, they need to have the same denominator. In order to do that, you find a common denominator which is the same thing as a common multiple, only with denominators.

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

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

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

The first step to take is find the lowest common denominator of the fractions which can be done by finding the lowest common multiple of the numbers.

No.

No.

No.

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 can add or subtract fractions only if they are "like" fractions, that is, only if they have the same denominator - unless you know your fractions really well.

You first need to find a common denominator, not necessarily the least common denominator. Next, you rename the fractions according to the common denominator. Only then can you subtract the fractions. After subtraction you should simplify the answer.

You need a common denominator in order to add or subtract fractions.

You need a common denominator for both.

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

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

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

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

yes

Yes.

Yes.

No you do not.

Option 1: Find a common denominator for the two fractions. It need not be the least common denominator; for example, for two fractions, if you just multiply the two denominators, you get a common denominator. Convert all the fractions to the common denominator. Then you can compare. Option 2: Convert each fraction to decimal, by dividing the numerator by the denominator. Then you can compare the decimals.