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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{5y}{3} + 6$

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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{5y}{3} + 6

Convert $6$ to Fraction: To combine the term $\frac{5y}{3}$ with the whole number $6$ , we need to express $6$ as a fraction with the same denominator as $\frac{5y}{3}$ , which is $3$ . We can do this by multiplying $6$ by $\frac{3}{3}$ , which is equivalent to $1$ , to get $\frac{18}{3}$ .
Add Fractions: Now we have the fraction $\frac{5y}{3}$ and the fraction $\frac{18}{3}$ , which have the same denominator. We can add these fractions together by adding their numerators. $\newline$ The new numerator will be $5y + 18$ , and the denominator remains $3$ . $\newline$ So, the combined fraction is $\frac{(5y + 18)}{3}$ .
Simplify Fraction: We check to see if the fraction $(5y + 18)/3$ can be simplified further. Since $5y$ and $18$ do not have a common factor other than $1$ , and the denominator $3$ does not factor into $5y$ or $18$ , the fraction is already in its simplest form.

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