Question

the overall width in cm of several wide screen television are 97.28.cm , 4989cm,1 98 25 cm and 97.94 cm .express these numbers as rational numbers in the form p q and arrange the widths in ascending order.

Answer 1

The ascending order is :
`97.94 cm, 97.28 cm, 98.4/9 cm, 98.1/25 cm`

Explanation:

⇒
`Width = 9728/100, 984/(9*10), 981/(25*10), 9794/100`

⇒
`Width = 9728/100, 984/90, 981/250, and 9794/100`

⇒
`Width = 9794/100, 9728/100, 984/90, (981*4)/(250*4)`

⇒
`Width = 9794/100, 9728/100, 984/90, 3924/1000`

⇒
`Width = (9794*10)/(100*10), (9728*10)/(100*10), 984/90, 3924/1000`

⇒
`Width = 97940/1000, 97280/1000, 984/90, 3924/1000`

⇒
`Width = 97940/1000, 97280/1000, 3924/1000, 984/90`

⇒
`Width = (97940*9)/(1000*9), (97280*9)/(1000*9), (3924*9)/(1000*9), (984*100)/(90*100)`

⇒
`Width = 881460/9000, 875520/9000, 35316/9000, 98400/9000`

⇒
`Width = 881460/9000, 875520/9000, 35316/9000, 98400/9000`

So, Width in the ascending order will be : 97.94 cm, 97.28 cm, 98.4/9 cm, 98.1/25 cm