\(B=\dfrac{3^6\cdot3^3\cdot5^3+3^6\cdot3^6\cdot5^6}{3^{10}\cdot5^3\cdot2^3}=\dfrac{3^9\cdot5^3\left(1+3^3\cdot5^3\right)}{3^{10}\cdot5^3\cdot2^3}=\dfrac{1+15^3}{3\cdot2^3}=\dfrac{3376}{24}=\dfrac{422}{3}\)
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