$\text{a)}\frac{36}{32}\cdot \frac{24}{27}=\frac{9}{8}\cdot \frac{8}{9}=1$

---

$\text{b)}\frac{72}{78}\cdot \frac{52}{54}=\frac{36}{39}\cdot \frac{26}{27}=\frac{9\cdot 4}{13\cdot 3}\cdot \frac{13\cdot 2}{9\cdot 3}=\frac{4}{3}\cdot \frac{2}{3}=\frac{8}{9}$

---

$\text{c)}\frac{12}{25}:\frac{18}{10}=\frac{12}{25}:\frac{9}{5}=\frac{12}{{\sout{25}}^5}\cdot \frac{{\sout{5}}^1}{9}=\frac{12}{45}=\frac{4}{15}$

---

$\text{d)}\frac{48}{14}:\frac{40}{56}=\frac{24}{7}:\frac{10}{14}=\frac{24}{{\sout{7}}^1}\cdot \frac{{\sout{14}}^2}{10}=\frac{48}{10}=\frac{24}{5}=4\frac{4}{5}$

---

$\text{e)}3\frac{3}{5}\cdot \left(-2\frac{2}{9}\right)=\frac{{\sout{18}}^2}{5}\cdot \left(-\frac{20}{{\sout{9}}^1}\right)=-\frac{40}{5}=-8$

---

$\text{f)}\left(-5\frac{1}{3}\right)\cdot \left(-6\frac{3}{4}\right)=\frac{{\sout{16}}^4}{3}\cdot \frac{27}{{\sout{4}}^1}=\frac{4}{{\sout{3}}^1}\cdot {\sout{27}}^9=36$

---

$\text{g)}\left(-1\frac{3}{4}\right):1\frac{2}{5}=-\frac{7}{4}:\frac{7}{5}=-\frac{{\sout{7}}^1}{4}\cdot \frac{5}{{\sout{7}}^1}=-\frac{5}{4}$

---

$\text{h)}6\frac{2}{3}:\left(-4\frac{4}{9}\right)=\frac{20}{3}:\left(-\frac{40}{9}\right)=\frac{{\sout{20}}^1}{3}\cdot \left(-\frac{9}{{\sout{40}}^2}\right)=-\frac{9}{6}=-\frac{3}{2}$