Identify Given Expression: Identify the given expression and rewrite it in a more clear form. The expression 9÷2n/3 can be rewritten as 9/(2n/3).Understand Division of Fractions: Understand the division of fractions. The expression 9/(2n/3) is equivalent to 9 * (3/2n) because dividing by a fraction is the same as multiplying by its reciprocal.Multiply Numerators and Denominators: Multiply the numerators and denominators. Now multiply 9 by 3 to get the new numerator and 1 by 2n to get the new denominator. The expression becomes (9*3)/(1*2n).Perform Multiplication: Perform the multiplication. Calculate the numerator: 9 * 3 = 27. Calculate the denominator: 1 * 2n = 2n. So the expression is now 27/2n.Check for Simplification: Check for any further simplification. The expression 27/2n is already in its simplest form as 27 and 2n have no common factors other than 1.

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$\frac{9}{2}n/3$

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\frac{9}{2}n/3

Identify Given Expression: Identify the given expression and rewrite it in a more clear form. $\newline$ The expression $9\div 2n/3$ can be rewritten as $\frac{9}{\frac{2n}{3}}$ .
Understand Division of Fractions: Understand the division of fractions. $\newline$ The expression $\frac{9}{\frac{2n}{3}}$ is equivalent to $9 \times \frac{3}{2n}$ because dividing by a fraction is the same as multiplying by its reciprocal.
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ Now multiply $9$ by $3$ to get the new numerator and $1$ by $2n$ to get the new denominator. The expression becomes $(9\times3)/(1\times2n)$ .
Perform Multiplication: Perform the multiplication. $\newline$ Calculate the numerator: $9 \times 3 = 27$ . $\newline$ Calculate the denominator: $1 \times 2n = 2n$ . $\newline$ So the expression is now $\frac{27}{2n}$ .
Check for Simplification: Check for any further simplification. $\newline$ The expression $\frac{27}{2n}$ is already in its simplest form as $27$ and $2n$ have no common factors other than $1$ .