Question

Answer the question in the image

Answer 1

`(211)/(500)`

Explanation:

`.4\bar{2}` means the 2 repeats till infinity

`.4\bar{2}` = .4222222222.....

To convert to fraction just take the first three decimal place digits 422 and divide by 1000 to convert to fraction

`.4\bar{2} = (422)/(1000)`

Dividing numerator and denominator of this fraction by 2 gives

`(422/2)/(1000/2) =(211)/(500)`

This cannot be simplified further and therefore

`.4\bar{2} = (211)/(500)`

If we had chosen first 4 decimal digits then it would be
`.4\bar{2} = (4222)/(10000) = (2111)/(5000)`
i.e. we divide by 10,000

Answer 2

The answer I’m pretty sure is 14/33