Question

\(\frac{1}{1.2}\) +  \(\frac{1}{2.3}\)+ ..........+\(\frac{1}{99.100}\)

Answer 1

\(\frac{1}{1.2}+\frac{1}{2.3}+..+\frac{1}{99.100}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+..+\frac{1}{99}-\frac{1}{100}=1-\frac{1}{100}=\frac{99}{100}\)

Answer 2

99/100

Answer 3

=1/1 - 1/2 +1/2 -1/3+1/3 - 1/4+...+1/99 - 1/100

=1/1 - 1/100

=100/100 - 1/100

=99/100