Question

9ab/35m^7 : 45a^2b^6/21m^8

Answer 1

$\displaystyle\bf\\\dfrac{9ab}{35m^{7} }:\dfrac{45a^{2} b^{6} }{21m^{8} } = \dfrac{9ab}{35m^{7} }\cdot\dfrac{ 21m^{8} }{45a^{2} b^{6} } =\dfrac{9\cdot ab\cdot7\cdot3\cdot m^{7} \cdot m}{7\cdot 5\cdot m^{7} \cdot 9\cdot 5\cdot ab\cdot a\cdot b^{5} } =\\\\\\=\dfrac{3m}{25ab^{5} }$

Answer 2

$\dfrac{9ab}{35m^7}:\dfrac{45a^2b^6}{21m^8}=\dfrac{9ab}{35m^7}\cdot\dfrac{21m^8}{45a^2b^6}=\dfrac{1\cdot3m}{5\cdot5ab^5}=\dfrac{3m}{25ab^5}$