Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{5}{9st} + 6s$

Full solution

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

\newline

\frac{5}{9st} + 6s

Identify Common Denominator: Identify the common denominator for the fractions. $\newline$ Since $6s$ is not a fraction, we can write it as a fraction with a denominator of $1$ , so we have $\frac{5}{9st}$ and $\frac{6s}{1}$ . To combine these, we need a common denominator. The least common denominator (LCD) between $9st$ and $1$ is $9st$ .
Rewrite Whole Number: Rewrite the whole number as a fraction with the common denominator. $\newline$ We rewrite $6s$ as a fraction with the denominator $9st$ : $(6s \times 9st)/(1 \times 9st) = 54s^2t/9st$ .
Combine Fractions: Combine the fractions. $\newline$ Now we have two fractions with the same denominator, so we can combine them: $(\frac{5}{9st}) + (\frac{54s^2t}{9st}) = \frac{5 + 54s^2t}{9st}$ .
Simplify Numerator: Simplify the numerator if possible. $\newline$ In this case, the numerator $5 + 54s^2t$ cannot be simplified further because $5$ and $54s^2t$ are not like terms.
Write Final Answer: Write the final answer. $\newline$ The expression is already simplified as a single fraction: $(5 + 54s^2t)/9st$ .