$$\frac{13c^{2}}{15a}\times\frac{16a^{4}}{39d^{3}}\div\frac{48a^{2}b^{2}c}{27d^{4}}$$
$\frac{acd}{5b^{2}}$
$$\frac{\frac{13c^{2}\times 16a^{4}}{15a\times 39d^{3}}}{\frac{48a^{2}b^{2}c}{27d^{4}}}$$
$$\frac{\frac{16c^{2}a^{3}}{3\times 15d^{3}}}{\frac{48a^{2}b^{2}c}{27d^{4}}}$$
$$\frac{\frac{16c^{2}a^{3}}{3\times 15d^{3}}}{\frac{16ca^{2}b^{2}}{9d^{4}}}$$
$$\frac{16c^{2}a^{3}\times 9d^{4}}{3\times 15d^{3}\times 16ca^{2}b^{2}}$$
$$\frac{acd}{5b^{2}}$$
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$-\frac{2acd}{5b^{3}}$
