[tex](1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4})...(1+\frac{1}{50})=\\
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\frac{2+1}{2}\cdot \frac{3+1}{3}\cdot \frac{4+1}{4}\cdot...\cdot\frac{50+1}{50}=\\
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\frac{3}{2}\cdot\frac{4}{3}\cdot \frac{5}{4}\cdot...\cdot \frac{51}{50}=\boxed{\bold{\frac{51}{2}}}\\
[/tex]