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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 like terms and denominator: Identify the like terms and the common denominator.To combine the terms into a single fraction, we need a common denominator. The first term has a denominator of , and the second term, , can be thought of as . The common denominator for and is .
- Convert integer to common fraction: Convert the integer to a fraction with the common denominator.To convert to a fraction with a denominator of , we multiply both the numerator and the denominator by .
- Rewrite expression with common denominator: Rewrite the expression with the common denominator.Now we rewrite the original expression with both terms over the common denominator of . +
- Combine fractions: Combine the fractions.Since both terms now have the same denominator, we can combine them into a single fraction.
- Check for further simplification: Check if the fraction can be simplified further.The numerator has a common factor of , but the denominator is , which does not share this factor. Therefore, the fraction is already in its simplest form.
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