\(A=\frac{1\cdot5\cdot6+2\cdot10\cdot12+4\cdot20\cdot24+9\cdot45\cdot54}{1\cdot3\cdot5+2\cdot6\cdot10+4\cdot12\cdot20+9\cdot27\cdot45}\)
\(A=\frac{1\cdot5\cdot6\cdot\left(1+2+4+9\right)}{1\cdot3\cdot5\cdot\left(1+2+4+9\right)}\)
\(A=\frac{1\cdot5\cdot6}{1\cdot3\cdot5}\)
\(A=2\)
\(A=\frac{3.24.2}{13}=\frac{144}{13}\)
\(A=\frac{3.24.2}{13}=\frac{144}{13}\)
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=>1/2.A=1.5.6+2.10.12+4.20.24+9.45.54 / 1.3.5.2+2.6.10.2+4.12.20.2+9.27.45.2
=>1/2.A=1.5.6+2.10.12+4.20.24+9.45.54 / 1.5.6+2.10.12+4.20.24+9.45.54
=>1/2.A=1
=>A=2
\(A=\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)
\(\Rightarrow A=\frac{2.\left(1.3.5+2.6.10+4.12.20+9.27.45\right)}{1.3.5+2.6.10+4.12.20+9.27.45}\)
\(\Leftrightarrow A=2\)