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Q: Why do you find common denominators?

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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.

Multiply any two denominators together. Their product will be a common denominator of them both.

Common denominators are multiples that are being used as denominators. The process to find them is the same.

By finding the lowest common multiple of the different denominators then rearranging the numerators and denominators accordingly.

No.

You can multiply the two denominators, or you can find the least common multiple for the two denominators.

Common multiples and common denominators can be found using the same process. They differ in their function. Common denominators are common multiples that are functioning as denominators.

Multiply them together.

By finding the lowest common multiple of the denominators

To add and subtract fractions, you need common denominators. To find the common denominator, find the LCM of the denominators you wish to add or subtract.

You need at least two denominators to find something in common between them.

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.

No. If the denominators are the same, you subtract the numerators. If the denominators are different you have to find the least common denominator.

You don't. You find a common denominator and proceed from there.

Find the LCM of the denominators. Since the LCM of 3 and 4 is 12, the least common denominator of 1/3 and 1/4 is 12.

Common denominators are common multiples of two or more denominators.

Denominators which have no common factors

Only if the denominators are different.

Multiply the denominators together.

You don't. You find a common denominator and compare after that.

Find the lowest common multiple of the denominators and adjust the fractions accordingly

You can always find a common denominator by multiplying the denominators together.

To add and subtract fractions, you need common denominators. To find the common denominator, take the LCM of the denominators you wish to add or subtract.

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.

Because when you compare fractions with the same denominators, you do not have to find the least common denominator (LCM or LCD).