Question

\(\frac{1}{5.6}-\frac{1}{6.7}-\frac{1}{7.8}-...-\frac{1}{2016.2017}\)

 

Answer 1

1/5.6  - 1/6/7 - 1/7.8 - ...- 1/2016.2017

= 1(1/5 - 1/6 +1/6-1/7+ 1/7 - 1/8 +...+1/2016 - 1/2017)

= 1(1/5 - 1/2017)

= 1.2012/10085

= 2012/10085

Answer 2

1/5.6 - 1/6.7 - 1/7.8 - ... 1/2016.2017

= 1 ( 1/5 - 1/6 - 1/7 - 1/8 + ... + 1/2016 - 1/2017 )

= 1 ( 1/5 - 1/2017 )

= 1.2012/10085

= 2012/10085