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Simplify. Express your answer as a single fraction in simplest form.
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Q. Simplify. Express your answer as a single fraction in simplest form.
- Identify Common Denominator: Identify the common denominator for the two terms.Since the first term has a denominator of and the second term can be thought of as , the common denominator is .
- Express Second Term: Express the second term with the common denominator.To do this, multiply the numerator and denominator of by to get the equivalent fraction .
- Rewrite with Common Denominator: Rewrite the expression with the common denominator.The expression now becomes .
- Combine Terms: Combine the terms over the common denominator.Since both terms now have the same denominator, we can combine them as follows:
- Factor Out Common Factor: Factor out the common factor in the numerator.We can factor out from the numerator to simplify the expression further:
- Check for Further Simplification: Check if the fraction can be simplified further.Since there are no common factors between the numerator and the denominator, the fraction is already in its simplest form.
