\(\frac{374}{506}=\frac{2.187}{253.2}=\frac{187}{253}\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.9^{12}.5^{12}.3^3.8^3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}\)
\(=\frac{3}{5^2}\)