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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{9g^2 + 8g}{27g}$

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Simplify radical expressions: mixed review

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Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9g^2 + 8g}{27g}

Break down expression: Simplify the expression $9g^2 + \frac{8g}{27g}$ by first looking at the terms separately. $\newline$ The expression can be broken down into two parts: $9g^2$ and $\frac{8g}{27g}$ .
Simplify second term: Simplify the second term $\frac{8g}{27g}$ by dividing $8g$ by $27g$ . When dividing terms with the same variable, subtract the exponents. Since the variable $g$ has an exponent of $1$ in both the numerator and the denominator, they cancel each other out. $\frac{8g}{27g} = \frac{8}{27}$
Combine simplified terms: Combine the simplified terms to form the final expression. $\newline$ The first term remains unchanged, and the second term is now a fraction without the variable $g$ . $\newline$ The expression is now $9g^2 + \frac{8}{27}$ .
Check for further simplification: Check if the terms can be combined or further simplified. $\newline$ Since $9g^2$ is a term with a variable and $\frac{8}{27}$ is a constant, they cannot be combined any further.
Write final expression: Write the final simplified expression. $\newline$ The simplified form of the expression is $9g^2 + \frac{8}{27}.$

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