Question

Answer 1

= (2.2/2.3).(3.3/3.4).(4.4/4.5)....(100.100/101.100)

=(2.3.4.5...100/2.3.4.5...101).(2.3.4.5...100/2.3.4.5...101)

= 2/101.2/101

= 4/101.101

Answer 2

`4/6 xx 9/12 xx 16/20 xx ... xx 10000/10100`

`= (2 xx 2)/(2 xx3) xx (3 xx 3)/(3xx4) xx .... xx (100 xx 100)/(100 xx 101)`

`= (2 xx 3 xx 4xx ... xx100)/(2 xx 3 xx .... xx 100) xx(2 xx 3 xx 4 xx .... xx 100)/(3 xx 4 xx ... xx 101)`

`=1 xx 2/101`

`= 2/101`