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$Perform the operation and express your answer as a single fraction in simplest form. (5x)/(2)+(1)/(3x^(2)) Answer:$

Perform the operation and express your answer as a single fraction in simplest form. $\newline$ $\frac{5 x}{2}+\frac{1}{3 x^{2}}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Perform the operation and express your answer as a single fraction in simplest form.

\newline

\frac{5 x}{2}+\frac{1}{3 x^{2}}

\newline

Answer:

Find LCD: To add the two fractions, we need a common denominator. The least common denominator (LCD) for $2$ and $3x^2$ is $6x^2$ .
First Fraction: Multiply the numerator and denominator of the first fraction by $3x^2$ to get the common denominator. $\newline$ $(\$\frac{5x}{2}$ ) * ( $\frac{3x^2}{3x^2}$ ) = $\frac{15x^3}{6x^2}$ )
Second Fraction: Multiply the numerator and denominator of the second fraction by $2$ to get the common denominator. $\newline$ $(\$\frac{1}{3}x^2$ ) * ( $\frac{2}{2}$ ) = ( $\frac{2}{6}x^2$ )
Add Numerators: Now that we have a common denominator, we can add the numerators. $\newline$ $(\frac{15x^3}{6x^2}) + (\frac{2}{6x^2}) = \frac{15x^3 + 2}{6x^2}$
Simplify Expression: The expression is already simplified, and there are no common factors to cancel out in the numerator and denominator.

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