Divide $4 a^{2} b$ by $6 a b^{2} .$

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Solution

Division of monomials:
Quotient of two monomials $=$ (Quotient of their numerical coefficients) (Quotient of their literal coefficients)
$\begin{array}{rcl} 4 a^{2} b b y 6 a b^{2} & = & \frac{4 \times a^{2} \times b}{6 \times a \times b^{2}} \\ = & \frac{2 \times a}{3 \times b} \\ = & \frac{2 a}{3 b} \end{array}$
Therefore, the result of division is $\frac{2 a}{3 b}$

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