Question

\(C=\left(\dfrac{3}{2}:\dfrac{3}{4}:\dfrac{4}{5}:...:\dfrac{99}{100}\right).\dfrac{-1}{30}\)

Answer 1

\(C=\left(\dfrac{3}{2}:\dfrac{3}{4}:\dfrac{4}{5}:...:\dfrac{99}{100}\right).-\dfrac{1}{30}\)

\(=\left(\dfrac{3}{2}.\dfrac{4}{3}.\dfrac{5}{4}...\dfrac{100}{99}\right).-\dfrac{1}{30}\)

\(=\dfrac{100}{2}.-\dfrac{1}{30}=-\dfrac{5}{3}\)

Answer 2

`(3/2 : 3/4 : 4/5 : ... : 99/100) . -1/30`

`= (3/2.4/3.5/4...100/99) . -1/30`

`= 100/2 . -1/30`

`= 50 . -1/30`

`= -5/3`