Question

Express 0.3838. . . in the form of p/q where p and q are integers and q≠0

Answer 1

Step-by-step explanation:

let x= 0.383838... eq(1)

now, multiply x by 10

and also multiply 0.383838... by 10

10x = 38.383838...eq(2)

now subtract eq(1) from eq(2)

100x=38.3838....

- x= 0.3838....

_________________

99x = 38

x = 38/99

-> hence its p/q form will be 38/99

where (q≠0)