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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 Terms, Denominator: Identify the like terms and the common denominator.In the expression , the term does not have a denominator, so we can consider it as . To combine it with , we need a common denominator. The common denominator for and is .
- Convert Term to Common Denominator: Convert the term to have the common denominator.To convert to have the denominator of , we multiply both the numerator and the denominator by .
- Rewrite Expression: Rewrite the expression with the common denominator.Now we have two fractions with the same denominator, which we can combine:
- Combine Fractions: Combine the fractions.Since the fractions have the same denominator, we can add the numerators together:
- Check for Simplification: Check if the expression can be simplified further.The numerator does not have any common factors with the denominator , and the terms in the numerator do not have common factors either. Therefore, the expression is already in its simplest form.
