Question

11/12.23+11/23.34=...+11/89.100

Answer 1

\(\frac{11}{12.23}+\frac{11}{23.24}+....+\frac{11}{89.100}\)

\(=\frac{11}{12}-\frac{11}{23}+\frac{11}{23}-\frac{11}{24}+....+\frac{11}{89}-\frac{11}{100}\)

\(=\frac{11}{12}-\frac{11}{100}\)

\(=\frac{68}{75}\)

Answer 2

=1/12-1/23+1/23-1/34+...+1/89-1/100

=1/12-1/100

=121/150

Answer 3

= 1/11 - 1/23 + 1/23 - 1/34 + ... + 1/89 - 1/100

= 89/1100