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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{2}{a} + 1$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{2}{a} + 1

Identify Expression: Identify the expression to be simplified. $\newline$ We have the expression $\frac{2}{a} + 1$ . To combine these terms into a single fraction, we need a common denominator.
Find Common Denominator: Find a common denominator. $\newline$ The common denominator for $\frac{2}{a}$ and $1$ is $a$ , since $1$ can be written as $\frac{a}{a}$ .
Rewrite as $a/a$ : Rewrite $1$ as $a/a$ . We can express $1$ as $a/a$ so that both terms have the same denominator. $1 = a/a$
Combine Fractions: Combine the fractions. $\newline$ Now that we have a common denominator, we can combine the fractions. $\newline$ $\frac{2}{a} + \frac{a}{a} = \frac{2 + a}{a}$
Check for Simplification: Check for any possible simplification. $\newline$ The fraction $(2 + a)/a$ is already in simplest form because the numerator and the denominator have no common factors other than $1$ .

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