Question

Express 0.2353535...… in the form of p/q , where p and q are integers and q≠0

Answer 1

Let 0.2353535...be x
x=0.2353535...
100 * x =0.2353535...*100
100x =23.53535...
100x=23.3 + .2353535...(23.3+.23535..=23.53535)
100x=23.3 + x (0.23535..=x)
100x - x =23.3
99x = 23.3
x =23.3/99
x=23.3 * 10/99 * 10
x = 233/990.....shown

Answer 2

Heya,
here is your answer

let x = 0.235353535.....

10 × x = 10 × 0.235353535....
=> 10x = 2.35353535.......

100 × x = 100 × 0.235353535........
=> 100x = 23.535353535.......

1000 × x = 1000 × 0.235353535........
=> 1000x = 235.3535353535.......




if we will subtract 10x from 1000x

1000x - 10x = 235.353535.... - 2.353535.....
=> 990x = 233
=> x = 233/990




Hence 0.235353535....... in the form of p/q is 233/990






Hope this help
if any doubt ask me frankly, always ready to help

THANK YOU

- Sneha
x brainly star
x brainly benefactor
normal user
but helpful and powerful