$$\frac{45a^{2}b}{30ab}$$
$\frac{3a}{2}$
$$\frac{45^{1}a^{2}b^{1}}{30^{1}a^{1}b^{1}}$$
$$\frac{45^{1}}{30^{1}}a^{2-1}b^{1-1}$$
$$\frac{45^{1}}{30^{1}}a^{1}b^{1-1}$$
$$\frac{45^{1}}{30^{1}}ab^{0}$$
$$\frac{45^{1}}{30^{1}}a$$
$$\frac{3}{2}a$$
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$\frac{3}{2} = 1\frac{1}{2} = 1.5$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{45b}{30b}a^{2-1})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}a^{1})$$
$$\frac{3}{2}a^{1-1}$$
$$\frac{3}{2}a^{0}$$
$$\frac{3}{2}\times 1$$
$$\frac{3}{2}$$