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Fractions can only be added or subtracted if the denominators are the same.

If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator.

The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators.

(Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.)

Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).

Q: Adding and subtracting unlike denominators

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What is the definition of Adding and Subtracting Like Fractions

Not always but they need to have the same denominators when adding or subtracting them.

Yes. When multiplying and dividing fractions your denominators do not have to be the same. The denominators only haveto be the same if you are subtracting or adding them.

The denominators must be the same, the numerators can be different.

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.

Related questions

What is the definition of Adding and Subtracting Like Fractions

Not always but they need to have the same denominators when adding or subtracting them.

When adding or subtracting fractions their denominators must be the same

Ensure that the denominators are the same when adding or subtracting fractions.

I learned to always change the denominators before adding or subtracting the numerators. You must always have a common denominator before adding or subtracting.

No

A common denominator is needed when adding or subtracting fractions of different denominators.

Making sure the denominators are the same.

Anything having to do with adding or subtracting unlike fractions.

When you are adding or subtracting fractions with unlike denominators, you need to find a least common denominator, or LCD. The process is the same as finding an LCM between two integers.

Yes. When multiplying and dividing fractions your denominators do not have to be the same. The denominators only haveto be the same if you are subtracting or adding them.

The denominators must be the same, the numerators can be different.