Question

Write 0,0234234... in the form m/n where m and n are relatively prime. ​

Answer 1

m=26, n=111

Explanation:

Let 0,0234234... be x

Then 100x = 23,4234234...

100x-x=23,4234234...-0.0234234...

99x=23,4

999x=234

111x=26

x=26/111

m=26, n=111

Answer 2

Let 0.0234234… = n
234.234234…=10,000n
234= 10,000n-10n
234= 9,990n
n= 234/9,990

0.0234234…= 234/9990