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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 fractions.Since the first term is already a fraction with a denominator of , and the second term is an integer (which can be thought of as a fraction with a denominator of ), we need to convert the second term into a fraction with the same denominator as the first term to combine them.
- Convert Integer to Fraction: Convert the integer term to a fraction with a common denominator.To convert to a fraction with a denominator of , we multiply both the numerator and the denominator by . This gives us .
- Combine Fractions: Combine the fractions.Now that both terms have the same denominator, we can combine them into a single fraction by adding the numerators and keeping the common denominator.
- Check for Simplification: Check for any possible simplification. In this case, there is no further simplification possible because the terms in the numerator do not have common factors that can be factored out.
