Simplify. Express your answer as a single fraction in simplest form. 2/9r + 5/2q^3 ______

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Identify LCD: Identify the least common denominator (LCD) for the fractions. The fractions have denominators of 9r and 2q^3. To combine these fractions, we need to find the LCD that both denominators can divide into. The LCD for 9r and 2q^3 is 18rq^3 because 9r and 2q^3 both divide into it without leaving a remainder.Rewrite fractions: Rewrite each fraction with the LCD as the new denominator. For the first fraction, 2/9r, we need to multiply the numerator and denominator by 2q^3 to get the LCD as the new denominator. For the second fraction, 5/2q^3, we need to multiply the numerator and denominator by 9r to get the LCD as the new denominator. So, we have: (2 * 2q^3) / (9r * 2q^3) + (5 * 9r) / (2q^3 * 9r)Perform multiplications: Perform the multiplications in the numerators and confirm the denominators are the same. (4q^3) / (18rq^3) + (45r) / (18rq^3) Now that we have a common denominator, we can combine the numerators.Combine numerators: Combine the numerators over the common denominator. (4q^3 + 45r) / (18rq^3) This is the expression with a single fraction.Check for simplification: Check if the numerator can be simplified. The terms in the numerator, 4q^3 and 45r, do not have any common factors other than 1, and they are not like terms, so they cannot be combined or simplified further.

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{2}{9r} + \frac{5}{2q^3}$

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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{2}{9r} + \frac{5}{2q^3}$