[tex]a=1+2+3+_{\dots}+60\\
a=\dfrac{60\cdot 61}{2}\\
a=30\cdot 61= 1830\\
\\
b=\dfrac{1}{\not 2}\cdot \dfrac{\not 2}{\not 3}\cdot \dfrac{\not 3}{\not 4}\cdot _{\dots}\cdot \dfrac{\not 59}{60}\\
b=\dfrac{1}{60}\\
\dfrac{a}{b}=\dfrac{1830}{\frac{1}{60}}}=60\cdot 1830=\boxed{109800}[/tex]
