Question

\(\frac{10}{1.6}\)+ \(\frac{10}{6.11}\)+ .... + \(\frac{10}{56.61}\)

Answer 1

 = 2.(5/1.6+5/6.11+.....+5/56.61)

 = 2.(1-1/6+1/6-1/11+.....+1/56-1/61)

 = 2.(1-1/61)

 = 2.60/61 = 120/61

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Answer 2

\(\frac{10}{1.6}+\frac{10}{6.11}+...+\frac{10}{56.61}\)

\(=10.\left(\frac{1}{1.6}+\frac{1}{6.11}+...+\frac{1}{56.61}\right)\)

\(=10.\frac{1}{5}\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{56}-\frac{1}{61}\right)\)

\(=2\left(1-\frac{1}{61}\right)\)

\(=2.\frac{60}{61}\)

\(=\frac{120}{61}\)