Question

Express the following in p/q form : 1)0.2555....... 2)0.13434343434.......

Answer 1

1)
let x= 0.2555...----(1)
10× (1)
10x = 2.555...---(2)
100 × (1)

100x = 25.555...__(3)

sutract (2) from (3)

100x = 25.555...
10x = 2.555...
______________
90x = 23.0

x = p/q = 23/90

Answer 2

Answer:

23/90

Step-by-step explanation:

let x= 0.2555...----(1)

10× (1)

10x = 2.555...---(2)

100 × (1)

100x = 25.555...__(3)

subtract (2) from (3)

100x = 25.555...

10x = 2.555...

90x = 23.0

x = p/q

= 23/90