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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{c}{4} + 3$

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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{c}{4} + 3

Identify Given Expression: Identify the given expression and the goal. $\newline$ We have the expression $\frac{c}{4} + 3$ and we want to express it as a single fraction in simplest form.
Convert Whole Number to Fraction: Convert the whole number to a fraction with the same denominator as the first term. $\newline$ To combine $\frac{c}{4}$ with $3$ , we need to express $3$ as a fraction with a denominator of $4$ . We can do this by multiplying $3$ by $\frac{4}{4}$ which is equal to $1$ . $\newline$ $3 \times \left(\frac{4}{4}\right) = \frac{12}{4}$
Add Fractions Together: Add the two fractions together. $\newline$ Now we have two fractions with the same denominator, so we can add them together. $\newline$ $(\frac{c}{4}) + (\frac{12}{4}) = \frac{c + 12}{4}$
Check for Simplification: Check if the resulting fraction can be simplified. $\newline$ The fraction $(c + 12)/4$ is already in simplest form because $c$ is a variable and we cannot simplify it further without knowing its value.

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