Can someone elaborate the rule of common denominators?
Only things that are the same can be added or subtracted. Hence fractions can only be added or subtracted with a common denominator.
Apples and Oranges can not be added. Change both to fruit ( a common denominator) Now Apples and Oranges can be added find to a total number of pieces of fruit.
Fractions with a different denominator are like Apples and Oranges they can not be added. Change both fractions to fractions with the same denominator. Now the fractions can be aded or subtracted.
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Refer to the explanation.
Simplify.
Now add the fractions.
Now go back to the question.
Simplify.
Simplify.
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The rule of common denominators states that when adding or subtracting fractions, you need to have a common denominator. This common denominator is the same for all fractions involved in the operation. To achieve this:

Identify the least common multiple (LCM) of the denominators of the fractions.

Rewrite each fraction with the LCM as the common denominator by multiplying both the numerator and denominator of each fraction by the appropriate factor to make the denominators equal.

Once all fractions have the same denominator, you can add or subtract the numerators while keeping the common denominator unchanged.

Simplify the resulting fraction if necessary by reducing it to lowest terms.
By following the rule of common denominators, you ensure that fractions can be added or subtracted correctly without changing their values.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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